Mathematics & Physics
Dr. Helene R. Tyler, Mathematics
Chair of the Department
Dr. Bart Horn, Physics
Assistant Chair of the Department
The Department of Mathematics and Physics plays a vital role in the education of all students at Manhattan University through its offerings of programs for our majors as well as through the many support courses it offers for other departments across the university. We provide each student the analytical skills necessary to be successful in their field of study, whether it is Mathematics or Physics, another STEM field, Business, Education or the Liberal Arts.
The Department of Mathematics also offers a B.S. degree double major with Economics and Mathematics and Finance and Mathematics.
Please view the Program Requirements for the Double Majors in MATH/ECON and MATH/FIN.
MATHEMATICS
Mathematics is the science of structure and the art of problem solving. The discipline is at the core of every STEM field, is at the heart of decision making in business, and has applications in all of the liberal arts. Studying mathematics will give you the critical-thinking and analytical skills needed for a career in data science, STEM education, law, finance, and more.
Majors receive rigorous training in the areas of analysis, linear and abstract algebra, statistics, and mathematical proof-writing. Students have the opportunity to gain experience in applied subjects such as data science, operations research, and mathematical modeling. Our faculty are distinguished scientists and award-winning educators. Students will be encouraged to participate in mentored research projects, many of which are funded experiences, that provide preparation for graduate school as well as successful careers in industry. Mathematics students have presented their work at national and international conferences, and several have co-authored peer-reviewed publications with their faculty mentors.
The Department supports a chapter of Pi Mu Epsilon, the national mathematics honor society, and Sigma Xi, an international honor society for science and engineering.
Degree Plans
The Department offers the following degree programs:
-
Major in Mathematics
-
Bachelor of Science Degree
-
Bachelor of Arts Degree
-
-
Major in Adolescence Education Mathematics
-
Double Major in Mathematics and Economics
-
Second Major in Mathematics
-
Concentration in Applied Mathematics
-
Minor in Mathematics
General Requirements
Courses should be taken in accordance with the Plans of Study listed below. These plans incorporate the Kakos School of Arts and Science Core Curriculum. Care should be taken in planning your program since some courses are not offered every semester. A minimum grade of C is required in each of the courses used for any of the listed programs (major, second major, concentration, or minor).
Major in Mathematics
B.S. in Mathematics
MATH 157 | Foundations of Data Science | 3 |
or CMPT 102 | Computer Science II | |
MATH 185 | Calculus I 1 | 4 |
MATH 186 | Calculus II 1 | 4 |
MATH 243 | Foundations for Higher Mathematics | 3 |
MATH 285 | Calculus III 1 | 4 |
MATH 331 | Probability | 3 |
MATH 336 | Applied Statistics | 3 |
MATH 372 | Linear Algebra I | 3 |
MATH 377 | Algebra I | 3 |
MATH 387 | Analysis I | 3 |
MATH 489 | Problem Seminar | 3 |
MATH Electives 2 | 6 | |
CMPT 101 | Computer Science I | 3 |
PHYS 101 & PHYS 191 | Physics I and Physics I Lab | 4 |
PHYS 102 & PHYS 192 | Physics II and Physics II Lab | 4 |
Natural Sciences | 8 | |
Total Credits | 61 |
- 1
Students who major in Mathematics and are selected for the honors sequence will be enrolled in the honors sections of Calculus I, II, and III (MATH 187, 188, and 287).
- 2
MATH Electives can be taken from the following list of Mathematics courses: 286, 361, 386, 432, 433, 448, 455, 456, 457, 464, 471, 478, 488, 490, and select topics courses by permission of the Chair. Graduate mathematics courses can also be used as electives with approval of the Chair.
B.A. in Mathematics
MATH 157 | Foundations of Data Science | 3 |
or CMPT 102 | Computer Science II | |
MATH 185 | Calculus I 1 | 4 |
MATH 186 | Calculus II 1 | 4 |
MATH 243 | Foundations for Higher Mathematics | 3 |
MATH 285 | Calculus III 1 | 4 |
MATH 331 | Probability | 3 |
MATH 336 | Applied Statistics | 3 |
MATH 372 | Linear Algebra I | 3 |
MATH 377 | Algebra I | 3 |
MATH 387 | Analysis I | 3 |
MATH 489 | Problem Seminar | 3 |
MATH Electives 2 | 6 | |
CMPT 101 | Computer Science I | 3 |
3 SCI Courses 3 | 9 | |
Total Credits | 54 |
- 1
Students who major in Mathematics and are selected for the honors sequence will be enrolled in the honors sections of Calculus I, II, and III (MATH 187, 188, and 287).
- 2
MATH Electives can be taken from the following list of Mathematics courses: 286, 361, 386, 432, 433, 448, 455, 456, 457, 464, 471, 478, 488, 490, and select topics courses by permission of the Chair. Graduate mathematics courses can also be used as electives with approval of the Chair.
- 3
Students may opt for one full year of a lab science (8 credits). Students may also opt to replace the 3 SCI XXX courses with 9 credits of courses within a single discipline in the School of Science.
Double Major in Mathematics and Economics
The Mathematics/Economics double major, housed in the Kakos School of Arts and Sciences, provides a strong foundation in mathematical reasoning and economic theory. This interdisciplinary program is ideal for students preparing for graduate study in economics, data-driven policy research, or careers in government, industry, or academia. Emphasizing both theoretical and applied aspects of mathematics and economics, the program equips students with analytical tools used in economic modeling, econometrics, and quantitative research. Graduates are well-prepared for roles in public policy, consulting, financial services, international development, and advanced academic research.
See the B.A. in Mathematics and Economics Program Requirements.
B.A. in Mathematics and Economics
MATH 157 | Foundations of Data Science | 3 |
MATH 185 | Calculus I | 4 |
MATH 186 | Calculus II | 4 |
MATH 243 | Foundations for Higher Mathematics | 3 |
MATH 285 | Calculus III | 4 |
MATH 331 | Probability | 3 |
MATH 336 | Applied Statistics | 3 |
MATH 372 | Linear Algebra I | 3 |
MATH 377 | Algebra I | 3 |
MATH 387 | Analysis I | 3 |
MATH 489 | Problem Seminar | 3 |
ECON 203 | Microeconomics | 3 |
or ECON 150 | Roots: Economics | |
ECON 204 | Macroeconomics | 3 |
ECON 301 | Intermediate Price Analysis | 3 |
ECON 302 | Intermediate Macroeconomics | 3 |
ECON 305 | Money and Banking | 3 |
ECON 334 | International Economics | 3 |
ECON 433 | Econometrics | 3 |
Math/Econ Elective | 6 | |
Econ Elective | ||
CMPT 101 | Computer Science I | 3 |
B.S. in Economics and Mathematics
The Economics/Mathematics double major, housed in the O’Malley School of Business, combines applied economics with advanced quantitative methods. This interdisciplinary program is designed for students interested in careers in corporate economics, financial analytics, economic forecasting, or data-driven consulting. The curriculum emphasizes the use of mathematics and modeling in real-world economic and business contexts.
Program requirements can be found on this page.
B.S. in Finance and Mathematics
The Finance/Mathematics double major, housed in the O’Malley School of Business, prepares students for quantitatively intensive careers in finance, investment analysis, data science, actuarial science, and financial technology. Students gain a strong foundation in financial theory and mathematical modeling, equipping them with the skills to succeed in fast-paced, data-driven industries.
Program requirements can be found here.
Second Major in Mathematics
Students with a primary major in Liberal Arts, Business, Engineering, or Science
To complete a second major in Mathematics, students with a primary major in one of the above areas must take a total of 39 credits of mathematics courses from the Mathematics major courses listed above. These credits must include MATH 157 (or CMPT 102), MATH 185 (or 187), 186 (or 188), 243, 285 (or 287), 336, 372, 377, 387, MATH 489, and two (2) MATH electives. Graduate Mathematics courses also may be used as electives with approval of the Department Chair.
Students majoring in Adolescence Education
Students pursuing a degree in Adolescence Education Mathematics earn a Second Major in Mathematics by completing the following sequence as required by their degree program.
B.S. in Adolescence Education Mathematics
MATH 157 | Foundations of Data Science | 3 |
or CMPT 102 | Computer Science II | |
MATH 185 | Calculus I | 4 |
MATH 186 | Calculus II | 4 |
MATH 243 | Foundations for Higher Mathematics | 3 |
MATH 285 | Calculus III | 4 |
MATH 328 | Fundamental Concepts of Secondary Mathematics | 3 |
MATH 331 | Probability | 3 |
MATH 336 | Applied Statistics | 3 |
MATH 361 | Introduction to Higher Geometry | 3 |
MATH 372 | Linear Algebra I | 3 |
MATH 377 | Algebra I | 3 |
MATH 387 | Analysis I | 3 |
MATH 489 | Problem Seminar | 3 |
CMPT 101 | Computer Science I | 3 |
Total Credits | 45 |
- *
Sequencing of courses is very important in order to accommodate the requirements of student teaching.
Application: A student who wishes to declare a Second Major in Mathematics should consult with the Chair of Mathematics and Physics, who will advise them on curricular matters. Advice on administrative procedures is offered through the Office of Centralized Advising.
A grade of at least C is required for all courses meeting the requirements for a Second Major in Mathematics.
Concentration in Applied Mathematics
The Concentration in Applied Mathematics is designed to complement major study in a different discipline and prepare students to use mathematics in the workplace. The concentration requires 7 courses (24 credits), providing more depth than the minor in Mathematics. A grade of at least C is required for all courses meeting the requirements for a Concentration in Applied Mathematics.
The required core of 15 credits, comprised of Calculus I-II-III (MATH 185/187, 186/188, 285/287) and Linear Algebra I (MATH 372)/Computational Linear Algebra & Statistics for Computer Science (MATH 351). Students choose the remaining 9 credits from a list of approved courses, including Differential Equations (MATH 286), Probability (MATH 331), Applied Statistics (MATH 336), Partial Differential Equations (MATH 386), Machine Learning (MATH 457/MATG 557), Operations Research (MATH 455/MATG 555), Mathematical Modeling (MATH 456), Linear Algebra II (MATH 471)/Advanced Linear Algebra with Applications (MATG 571), and Complex Analysis (MATH 490). Special topics courses in Mathematics or Graduate Mathematics courses may be used with approval of the Department Chair.
Completion of the Concentration will be documented on the student's transcript.
Application: A student who wishes to declare a Concentration in Applied Mathematics should consult with the Assistant Chair of Mathematics and Physics, who will advise them on curricular matters. Advice on administrative procedures is offered through the Office of Centralized Advising.
Minor in Mathematics
The minor in Mathematics consists of 5 courses in Mathematics and must include Calculus I (MATH 155/185/187) and Calculus II (MATH 156/186/188). The remaining courses may be chosen from among those that count toward a major in Mathematics (exclusions listed below). A grade of at least C is required for all courses meeting the requirements for a minor in Mathematics. At least three courses must be taken at Manhattan University, with AP and/or transfer credit subject to approval by the Chair of the Department of Mathematics and Physics.
Note: The following courses may not be used toward the Mathematics minor: MATH 100, 111, 151, 153, 154, 157, 158, 221, 222, 230, 320, 321, 322, 326, 327, 328, and 422.
Application: A student who wishes to declare a Minor in Mathematics should seek advice on administrative procedures through the Office of Centralized Advising. The Chair and Assistant Chair of Mathematics and Physics are available for consultation on curricular matters.
B.S. in Childhood Education - Mathematics Concentration
All students majoring in Childhood Education take the following 6 credit core sequence.
MATH 221 | Mathematics for the Elementary School Teachers I | 3 |
MATH 222 | Mathematics for the Elementary School Teachers II | 3 |
Childhood Education majors who pursue a Concentration in Mathematics take an additional 30 credits in Mathematics, including Precalculus (MATH 100), Calculus I (MATH 155/185/187), Calculus II (MATH 156/186/188), Foundations of Higher Mathematics (MATH 243), Foundations of Childhood Mathematics (MATH 327), a course in Statistics (MATH 230 or MATH 336), and three from the following: MATH 157, MATH 285, MATH 328, MATH 361, MATH 372. Please see the Plan of Study below for the appropriate sequencing of these courses.
PLANS OF STUDY
Bachelor of Science in Mathematics
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 185 | 4 | MATH 1572 | 3 |
CMPT 101 | 3 | MATH 186 | 4 |
Modern Language1 | 3 | Modern Language1 | 3 |
ENGL 110 | 3 | RELS 110 | 3 |
SCI 100 | 1 | LLRN 105 | 3 |
Social Science | 3 | ||
17 | 16 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 336 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
PHYS 101 & PHYS 191 | 4 | PHYS 102 & PHYS 192 | 4 |
PHIL 150 | 3 | ENGL 150 | 3 |
Free Elective | 3 | Free Elective | 3 |
17 | 16 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | RELS 2XX Catholic Studies | 3 |
Natural Science3 | 4 | Natural Science3 | 4 |
HIST 150 | 3 | MATH Elective | 3 |
Free Elective | 3 | Free Elective | 3 |
16 | 16 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
MATH Elective | 3 | MATH 489 | 3 |
Free Electives | 6 | Free Electives | 9 |
MUSC 150 or ART 150 | 3 | RELS 3XX Global/Contemporary | 3 |
12 | 15 | ||
Total Credits: 125 |
- 1
One year sequence of a Modern Foreign Language.
- 2
Students wishing to minor in Computer Science should take CMPT 102 Computer Science II instead of MATH 157 Foundations of Data Science.
- 3
One year (8 credits with lab) of the same natural science is required.
Bachelor of Arts in Mathematics
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 185 | 4 | MATH 1572 | 3 |
CMPT 101 | 3 | MATH 186 | 4 |
Modern Language1 | 3 | Modern Language1 | 3 |
ENGL 110 | 3 | RELS 110 | 3 |
SCI 100 | 1 | LLRN 105 | 3 |
Social Science | 3 | ||
17 | 16 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 336 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
SCI XXX3 | 3 | SCI XXX3 | 3 |
PHIL 150 | 3 | SCI XXX3 | 3 |
Free Elective | 3 | ENGL 150 | 3 |
16 | 15 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | RELS 2XX Catholic Studies | 3 |
HIST 150 | 3 | MATH Elective | 3 |
Free Elective | 6 | Free Elective | 6 |
15 | 15 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
MATH Elective | 3 | MATH 489 | 3 |
MUSC 150 or ART 150 | 3 | RELS 3XX Global/Contemporary | 3 |
Social Science | 3 | Free Electives | 9 |
Free Electives | 6 | ||
15 | 15 | ||
Total Credits: 124 |
- 1
One year sequence of a Modern Foreign Language.
- 2
Students wishing to minor in Computer Science should take CMPT 102 Computer Science II instead of MATH 157 Foundations of Data Science.
- 3
Students may opt for one full year of a lab science (8 credits). In this case, the student will graduate with 120 credits. Students may also opt to replace SCI XXX with 9 credits of courses from within a single discipline in the School of Science.
Bachelor of Arts in Mathematics and Economics
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 185 | 4 | MATH 157 | 3 |
CMPT 101 | 3 | MATH 186 | 4 |
ENGL 110 | 3 | RELS 110 | 3 |
Modern Language Course | 3 | Modern Language | 3 |
ECON 203 or 150 | 3 | ECON 204 | 3 |
SCI 100 | 1 | ||
17 | 16 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 336 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
PHIL 150 | 3 | ECON 305 | 3 |
RELS 200 Level Course | 3 | ENGL 150 | 3 |
Free Elective or BUAN 205 | 3 | SCI Elective | 3 |
16 | 15 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | ECON 301 | 3 |
ECON 302 | 3 | ECON 334 | 3 |
ECON 433 | 3 | MATH/ECON Elective1 | 3 |
HIST 150 | 3 | SCI Elective | 3 |
15 | 15 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
MUSC 150 or ART 150 | 3 | MATH 489 | 3 |
MATH/ECON Elective1 | 3 | ECON Elective | 3 |
Social Science Elective | 3 | RELS 300 Level Course | 3 |
Free Electives | 6 | Free Elective | 3 |
SCI Elective | 3 | ||
15 | 15 | ||
Total Credits: 124 |
Satisfies requirements for both majors. Chosen in consultation with the Chair of Economics and Finance.
- 1
Bachelor of Science in Economics and Mathematics
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
ECON 203 | 3 | MATH 157 or BUAN 167 | 3 |
MATH 185 | 4 | MATH 186 | 4 |
ENGL 110 | 3 | ECON 204 | 3 |
MGMT 201 or MKTG 201 | 3 | RELS 110 | 3 |
PSYC 203 | 3 | MKTG 201 or MGMT 201 | 3 |
16 | 16 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 336 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
ACCT 201 | 3 | FIN 301 | 3 |
BUAN 205or Liberal Arts elective | 3 | ECON 305 | 3 |
Liberal Arts Elective | 3 | ACCT 202 | 3 |
ENGL 211 | 3 | ||
16 | 18 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | ECON 301 | 3 |
ECON 302 | 3 | ECON 334 | 3 |
ECON 433 | 3 | PHIL 201 | 3 |
MGMT 307 | 3 | MATH/ECON Elective1 | 3 |
ENGL Elective | 3 | RELS 200 Level Course | 3 |
18 | 18 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
MATH/ECON Elective | 3 | MATH 489 | 3 |
SCI Elective | 3 | MGMT 430 or 406 | 3 |
MGMT 406 or 430 | 3 | ECON Elective | 3 |
LAW 203 | 3 | RELS 300 Level Course | 3 |
HIST Elective | 3 | SOC 201 | 3 |
15 | 15 | ||
Total Credits: 132 |
Bachelor of Science in Finance and Mathematics
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
ECON 203 | 3 | MATH 157 or BUAN 167 | 3 |
MATH 185 | 4 | MATH 186 | 4 |
ENGL 110 | 3 | ECON 204 | 3 |
MGMT 201 or MKTG 201 | 3 | RELS 110 | 3 |
PSYC 203 | 3 | MKTG 201 or MGMT 201 | 3 |
16 | 16 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 336 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
ACCT 201 | 3 | FIN 301 | 3 |
BUAN 205or Liberal Arts elective | 3 | ACCT 202 | 3 |
ENGL Elective | 3 | ENGL 211 | 3 |
LAW 203 | 3 | ||
16 | 18 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | FIN 324 | 3 |
FIN 308 | 3 | MGMT 307 | 3 |
ECON 305 | 3 | PHIL 201 | 3 |
FIN 436 | 3 | FIN/MATH Elective1 | 3 |
RELS 200 Level Course | 3 | Liberal Arts Elective | 3 |
18 | 18 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
FIN 432 or 416 | 3 | MATH 489 | 3 |
MGMT 406 or 430 | 3 | FIN 416 or 432 | 3 |
FIN/MATH Elective | 3 | RELS 300 Level Course | 3 |
SCI Elective | 3 | SOC 201 | 3 |
HIST Elective | 3 | MGMT 430 or 406 | 3 |
15 | 15 | ||
Total Credits: 132 |
Bachelor of Science Adolescence Education Mathematics
Sequencing of Mathematics Courses
See Education for sequencing of Education Courses.
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 185 | 4 | MATH 1571 | 3 |
CMPT 101 | 3 | MATH 186 | 4 |
7 | 7 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 3282 | 3 |
MATH 285 | 4 | MATH 372 | 3 |
7 | 6 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 331 | 3 | MATH 387 | 3 |
MATH 377 | 3 | MATH 3612 | 3 |
6 | 6 | ||
Fourth Year | |||
Spring | Credits | ||
MATH 336 | 3 | ||
MATH 489 | 3 | ||
6 | |||
Total Credits: 45 |
- 1
Students wishing to minor in Computer Science should take CMPT 102 Computer Science II instead of MATH 157 Foundations of Data Science.
- 2
This plan of study applies to students who enter the program as first-year students in the fall of an even year. Students who enter the program as first-year students in the fall of an odd year will take MATH 361 in Year 2 and MATH 328 in Year 3.
Bachelor of Science Childhood Education Mathematics
Sequencing of Mathematics Courses
See Education for sequencing of Education Courses.
First Year | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
MATH 2211 | 3 | MATH 100 | 4 |
MATH 2221 | 3 | ||
3 | 7 | ||
Second Year | |||
Fall | Credits | Spring | Credits |
MATH 185 | 4 | MATH 186 | 4 |
MATH 327 | 3 | ||
7 | 4 | ||
Third Year | |||
Fall | Credits | Spring | Credits |
MATH 243 | 3 | MATH 230 or 336 | 3 |
MATH Elective | 3 | ||
3 | 6 | ||
Fourth Year | |||
Fall | Credits | Spring | Credits |
Student Teaching | MATH Elective | 3 | |
MATH Elective | 3 | ||
0 | 6 | ||
Total Credits: 36 |
- 1
MATH 221 and MATH 222 are required for all Childhood Education majors. These courses are not included in the 30-Hour Concentration in Mathematics. Rather, they are shown here to add context for the sequencing of the Concentration courses.
PHYSICS & ASTRONOMY
Physics is the study of natural phenomena, from subatomic scales to the scale of the entire universe. Physics is the most basic and fundamental science, and provides the basis for deep understanding in many fields of study and all of technology.
The Department offers B.S. and B.A. degrees in Physics, a Minor in Physics, a Minor in Astronomy and a Concentration in Theoretical Physics. Small class sizes and close collaboration between students and faculty create comfortable learning and research environments. Students in the Department collaborate with faculty on a variety of topics, from early universe cosmology and neutron star astrophysics, to particle physics, optics and condensed matter. With support from the Department and Manhattan University they participate in research and internships during the academic year and over the summer, both on campus and at locations such as Brookhaven National Laboratory (USA) and CERN (Switzerland). Our students publish articles in leading research journals and present their research at national and international conferences. Our alumni have successful careers in science, data science, teaching, engineering, medicine, finance and other fields.
Lower Division Requirements
All physics majors must take the following courses in their freshman and sophomore years:
PHYS 101 & PHYS 191 | Physics I and Physics I Lab | 4 |
PHYS 102 & PHYS 192 | Physics II and Physics II Lab | 4 |
PHYS 209 | Mathematical Methods in Physics | 3 |
PHYS 233 | Physics III | 3 |
PHYS 234 | Physics IV | 3 |
PHYS 262 | Intermediate Laboratory | 1 |
PHYS 301 | Computational Physics BS program | 3 |
SCI 100 | Science Orientation Seminar I | 1 |
CMPT 101 | Computer Science I | 3 |
MATH 185 | Calculus I | 4 |
or MATH 187 | Honors Calculus I | |
or MATH 155 | Calculus for the Life Sciences I | |
MATH 186 | Calculus II | 4 |
or MATH 188 | Honors Calculus II | |
or MATH 156 | Calculus for the Life Sciences II | |
MATH 285 | Calculus III | 4 |
or MATH 287 | Honors Calculus III | |
MATH 286 | Differential Equations | 3 |
CHEM 101 & CHEM 103 | General Chemistry I and General Chemistry Laboratory I | 4 |
CHEM 102 & CHEM 104 | General Chemistry II and General Chemistry Laboratory II | 4 |
Upper Division Requirements for the B.S. Major in Physics
The B.S. Physics major program is standard preparation for those students interested in graduate studies in physics.
PHYS 312 | Quantum Mechanics I | 3 |
PHYS 314 | Electricity and Magnetism | 3 |
PHYS 341 | Topics in Astrophysics | 3 |
PHYS 350 | Optics | 3 |
PHYS 352 | Modern Physics Lab II | 3 |
PHYS 410 | Advanced Theoretical Physics | 3 |
PHYS 415 | Statistical Mechanics | 3 |
PHYS 440 | Research Project in Physics | 3 |
PHYS 443 | Quantum Mechanics II: Quantum Computing & Information | 3 |
PHYS 445 | Research Project in Physics | 2 |
PHYS 450 | Seminar | 1 |
PHYS 446 | Topics in Cosmology | 3 |
Upper Division Requirements for the B.A. Major in Physics
The B.A. Physics major program is useful to those interested in careers in fields such as education, technical writing, and patent law. It also provides a full foundation for graduate studies in physics.
PHYS 301 | Computational Physics | 3 |
PHYS 312 | Quantum Mechanics I | 3 |
PHYS 314 | Electricity and Magnetism | 3 |
PHYS 350 | Optics | 3 |
PHYS 352 | Modern Physics Lab II | 3 |
PHYS 415 | Statistical Mechanics | 3 |
PHYS 441 | Senior Thesis | 3 |
PHYS 446 | Topics in Cosmology | 3 |
Grade Requirements
For graduation, a physics major must have a 2.00 cumulative index in all required physics courses and elective science and engineering courses. A minimum grade of C is required in all major courses.
Minor in Physics
The minor in Physics consists of a minimum of 15 credits. Specific requirements are listed below. A grade of at least C is required for all courses meeting the requirements for a minor in Physics.
Application: To pursue the minor in Physics, a student must get a Minor Form from the department secretary, fill it out, and have it approved by the Chair of the Department. An approved form will be forwarded to the appropriate Dean.
Minor Requirements
The minor in Physics consists of a minimum of 15 credits including PHYS 101+191 and PHYS 102+192. The remaining courses should be chosen from the list below, with the approval of the Chair of the Department.
The following upper-level courses may be used toward the Physics minor: PHYS 209, 221, 233, 234, 262, 301, 312, 314, 341, 350, 352, 410, 415, 440, 443, 445, 446 and 450.
Minor in Astronomy
The minor in Astronomy consists of a minimum of 15 credits. Specific requirements are listed below. A grade of at least C is required for all courses meeting the requirements for a minor in Astronomy.
Application: To pursue the minor in Astronomy, a student must get a Minor Form from the department secretary, fill it out, and have it approved by the Chair of the Department. An approved form will be forwarded to the appropriate Dean.
Minor Requirements
Required 3 credits courses: PHYS 101, 102, 222, 341.
At least one of the following 3 credits upper-level courses offered by the Department is required: PHYS 301, 312, 314, 350, 440, and 446.
The Concentration in Theoretical Physics
The concentration in Theoretical Physics offers students the opportunity to acquire a deep conceptual understanding of fundamental physics and provides a foundation for professional work not only in physics and related fields but also in such fields as astrophysics, biophysics, engineering and applied physics, geophysics, mathematical physics, computer science, finance, and medicine. This concentration includes the following courses: Quantum Mechanics I (PHYS 312), Quantum Mechanics II (PHYS 443) and Advanced Theoretical Physics (PHYS 410).
PLANS OF STUDY
Bachelor of Science in Physics
Freshman | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
PHYS 101 & PHYS 191 | 4 | PHYS 102 & PHYS 192 | 4 |
MATH 185 (Or MATH 187 or MATH 155) | 4 | MATH 186 (Or MATH 188 or MATH 156) | 4 |
RELS 110 or ENGL 110 | 3 | LLRN 105 | 3 |
SCI 100 | 1 | ENGL 110 or RELS 110 | 3 |
CMPT 101 | 3 | ||
15 | 14 | ||
Sophomore | |||
Fall | Credits | Spring | Credits |
PHYS 233 | 3 | PHYS 234 | 3 |
PHYS 209 | 3 | PHYS 262 | 1 |
MATH 285 or 287 | 4 | PHYS 301 | 3 |
CHEM 101 & CHEM 103 | 4 | MATH 286 | 3 |
Modern Language | 3 | CHEM 102 & CHEM 104 | 4 |
Modern Language | 3 | ||
17 | 17 | ||
Junior | |||
Fall | Credits | Spring | Credits |
PHYS 350 or 446 | 3 | PHYS 312 | 3 |
PHYS 352 odd years | 3 | PHYS 314 or 415 | 3 |
MUSC 150 or ART 150 | 3 | PHYS 341 or 410 | 3 |
RELS Catholic Studies | 3 | PHIL 150 | 3 |
ENGL 150 | 3 | RELS Global/Contemporary | 3 |
15 | 15 | ||
Senior | |||
Fall | Credits | Spring | Credits |
PHYS 446 or 350 | 3 | PHYS 410 or 341 | 3 |
PHYS 440 | 3 | PHYS 415 or 314 | 3 |
PHYS 443 | 3 | PHYS 445 | 2 |
Social Sciences | 3 | PHYS 450 | 1 |
Electives | 3 | HIST 150 | 3 |
Social Sciences | 3 | ||
15 | 15 | ||
Total Credits: 123 |
Bachelor of Arts in Physics
Freshman | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
PHYS 101 & PHYS 191 | 4 | PHYS 102 & PHYS 192 | 4 |
MATH 185, 187, or 155 | 4 | MATH 185, 188, or 156 | 4 |
RELS 110 or ENGL 110 | 3 | ENGL 110 or RELS 110 | 3 |
SCI 100 | 1 | LLRN 105 | 3 |
CMPT 101 | 3 | ||
15 | 14 | ||
Sophomore | |||
Fall | Credits | Spring | Credits |
PHYS 233 | 3 | PHYS 234 | 3 |
PHYS 209 | 3 | PHYS 262 | 1 |
MATH 285 or 287 | 4 | MATH 286 | 3 |
CHEM 101 & CHEM 103 | 4 | CHEM 102 & CHEM 104 | 4 |
Modern Language | 3 | Modern Language | 3 |
17 | 14 | ||
Junior | |||
Fall | Credits | Spring | Credits |
PHYS 350 or 446 | 3 | PHYS 301 | 3 |
PHYS 352 odd years | 3 | PHYS 314 or 415 | 3 |
ENGL 150 | 3 | PHIL 150 | 3 |
Electives | 3 | RELS Global/Contemporary | 3 |
RELS/Catholic Studies Elective | 3 | Electives | 3 |
15 | 15 | ||
Senior | |||
Fall | Credits | Spring | Credits |
PHYS 446 or 350 | 3 | PHYS 312 | 3 |
Social Sciences | 3 | PHYS 441 | 3 |
MUSC 150 or ART 150 | 3 | HIST 150 | 3 |
Electives | 6 | Social Sciences | 3 |
Electives | 3 | ||
15 | 15 | ||
Total Credits: 120 |
Bachelor of Science Adolescence Education Teacher of Physics/Dual Teacher of Physics and Students with Disabilities
Sequencing of science and mathematics courses
See Education for sequencing of education courses.
Freshman | |||
---|---|---|---|
Fall | Credits | Spring | Credits |
PHYS 101 & PHYS 191 | 4 | PHYS 102 & PHYS 192 | 4 |
MATH 185, 187, or 155 | 4 | MATH 186, 188, or 156 | 4 |
8 | 8 | ||
Sophomore | |||
Fall | Credits | Spring | Credits |
PHYS 233 | 3 | PHYS 234 | 3 |
PHYS 209 | 3 | PHYS 262 | 1 |
MATH 285 or 287 | 4 | CMPT 101 | 3 |
10 | 7 | ||
Junior | |||
Fall | Credits | Spring | Credits |
PHYS Elective (300 or 400 level)1 | 3 | PHYS 301 | 3 |
CHEM 101 & CHEM 103 | 4 | PHYS 312 | 3 |
7 | 6 | ||
Senior | |||
Spring | Credits | ||
PHYS Elective (300 or 400 level)1 | 3 | ||
3 | |||
Total Credits: 49 |
- 1
PHYS Electives chosen in consultation with physics program advisor.
Mathematics Courses
MATH 096. Bridge Course for Business. 0 Credits.
A preparatory course for incoming business students with marginally non-qualifying scores on the Mathematics
Placement Assessment. Topics include algebra fundamentals, functions and their graphs, exponential and
logarithmic functions, and Excel spreadsheets. Students must earn a passing grade to qualify for enrollment in
MATH 153. By invitation.
MATH 099. Bridge Course For Science/Engi. 0 Credits.
Designed for incoming science and engineering students with marginally non-qualifying
scores on the Mathematics Placement Assessment. Topics include algebra basics,
functions and their graphs, expoential and logarithmic functions, trigonometry,
and geometric foundations such as lines and distance. A passing grade is required for
placement into MATH 185 (Calculus I). By invitation.
MATH 100. Pre-Calculus Mathematics. 4 Credits.
Preparation for calculus and further study in STEM disciplines. Topics include algebraic and
transcendental functions, trigonometry, analytic geometry, and foundational concepts such as set theory
equations. Emphasis is placed on understanding function behavior and graphical representations. Meets
hours per week.
MATH 111. Pre-Calculus for Business Students. 4 Credits.
Preparation for business calculus through a focused review of algebra, functions, and
analytic geometry. Topics include exponential, logarithmic, and polynomial functions,
with applications relevant to business contexts. Meets four hours per week. Fall.
MATH 151. Topics in Modern Mathematics. 3 Credits.
An introduction to practical mathematical topics of particular interest to students in the humanities or social sciences. Possibilities include but are not limited to the mathematics of social choice, consumer mathematics, mathematical modeling and statistics. Additional topics may be introduced as time permits.
MATH 153. Finite Mathematics for Business Decisions. 3 Credits.
Survey of business applications. Topics include financial mathematics: simple and compound interest, annuities and amortization of loans; linear optimization: solving systems of linear equations and matrix algebra; probability: elementary counting techniques, odds, and expected value. Prerequisite: A satisfactory score on the mathematics placement exam or a grade of C or better in MATH 111.
MATH 154. Calculus for Business Decisions. 3 Credits.
An introduction to differential and integral calculus with applications in business and economics. Topics
include limits, derivatives of polynomial, rational, exponential,and logarithmic functions, optimization, and
basic integration. Emphasis is placed on modeling and decision-making contexts.
Prerequisite: MATH 153.
MATH 155. Calculus for the Life Sciences I. 4 Credits.
Limits, continuity, exponential/logarithmic functions differentiation/antidifferentiation. An introduction to the definite integral. Meets four hours per week. Prerequisite: A satisfactory score on the mathematics placement exam or a grade of C or better in MATH 100.
MATH 156. Calculus for the Life Sciences II. 4 Credits.
Applications chosen from the life sciences, including population, decay, growth models, stability, and matrix methods. Volumes of solids, integration techniques, difference/differential equations. Meets four hours per week. Prerequisite: A grade of C or better in MATH 155.
MATH 157. Foundations of Data Science. 3 Credits.
Foundations of data science based on computation, statistical inference, and interpretation for real-world problems. This course introduces students to techniques in data science with real data. Starting from the basics of programming for data applications, followed by statistical inference and concluding with interpretation of the insights, communication, and limitations of the results, this course provides a hands-on introduction to the foundations of data science using real-world economic, medical, geographical, and social network data.
MATH 158. Introduction to Mathematical Computation. 3 Credits.
Introduction to mathematical problem-solving employing modern software used for mathematical modeling in industry and research. Numerical and symbolic computation including problems from calculus. A variety of problems arising in mathematics, science, and engineering. Spring. Prerequisite: A grade of C or better in CMPT 101 and Calculus I (MATH 155 or MATH 185 or MATH 187).
MATH 185. Calculus I. 4 Credits.
The first course in the calculus sequence for STEM majors. Topics include limits,
continuity, derivatives, applications of differentiation, transcendental functions, and
an introduction to definite integrals and the Fundamental Theorem of Calculus. Meets
four hours per week.
Prerequisite:
A satisfactory score on the Mathematics Placement Assessment or a grade of C or
better in MATH 100.
MATH 186. Calculus II. 4 Credits.
A continuation of Calculus I. Topics include applications of the definite integral,
advanced techniques of integration, improper integrals, infinite sequences, and series.
Meets four hours per week.
Prerequisite: A grade of C or better in Calculus I ( MATH 155, MATH 185, or MATH 187).
MATH 187. Honors Calculus I. 4 Credits.
The course in an enriched, fast-paced calculus sequence for highly motivated STEM
students. Covers the material of Calculus I with greater theoretical depth and more
advanced applications. Topics include limits, continuity, derivatives, transcendental
functions, and the Fundamental Theorem of Calculus. Meets four hours per week.
Fall.
Prerequisite: Students selected by the instructor.
MATH 188. Honors Calculus II. 4 Credits.
Honors equivalent to Calculus II. Rigorous development of applications of the definite integral, integration techniques, improper integrals, and infinite sequences and series. Meets four hours per week. Spring. Prerequisite: A grade of C or better in MATH 187 or permission of the instructor.
MATH 221. Mathematics for the Elementary School Teachers I. 3 Credits.
This is a course for prospective teachers in elementary school. The content and method will follow the current standards of the National Council of Teachers of Mathematics for the elementary level. Topics include tools for problem solving, numeration systems, number theory, and algebra. Fall.
MATH 222. Mathematics for the Elementary School Teachers II. 3 Credits.
A continuation of MATH 221 for prospective elementary school teachers. The course emphasizes conceptual understanding
and reasoning in geometry, measurement, and data. Topics include two- and three-dimensional shapes,
spatial reasoning, units and measurement, and an introduction to statistics and data representation.
Aligned with NCTM standards. Spring. Prerequisite: A grade of C or better in MATH 221.
MATH 230. Elementary Statistics. 3 Credits.
An introduction to statistical methods and reasoning, with an emphasis on data analysis,
interpretation, and critical thinking. Topics include descriptive statistics,
relationships between variables, basic probability, binomial and normal
distributions, sampling distributions, confidence intervals, and hypothesis testing.
Students also gain experience using statistical software and evaluating statistical
claims in real-world contexts.
MATH 243. Foundations for Higher Mathematics. 3 Credits.
A transition course that prepares students for advanced mathematics by building skill and confidence
in reading, writing, and constructing mathematical proofs. Topics include logic, set theory, functions, relations,
modular arithmetic, and mathematical induction. Designed to strengthen abstract reasoning and provide
a strong foundation for upper-level coursework. Fall.
Prerequisites: A grade of C or better in Calculus II (MATH 156 or MATH 186 or MATH 188) or current
enrollment in Calculus II (MATH 156 or MATH 186 or MATH 188).
MATH 285. Calculus III. 4 Credits.
Multivariable calculus for STEM majors. Topics include vectors and geometry in space,
functions of several variables, partial derivatives, multiple integrals, line integrals,
and vector calculus including Green’s Theorem.
Prerequisite: A grade of C or better in Calculus II (MATH 156, MATH 186, or MATH 188).
MATH 286. Differential Equations. 3 Credits.
An introduction to ordinary differential equations with a focus on analytical techniques,
qualitative behavior, and applications in science and engineering. Topics include first and
second-order equations, systems of linear ODEs, direction fields, phase plane analysis,
separation of variables, variation of parameters, and Laplace transforms.
Prerequisite: A grade of C or better in Calculus III (MATH 285 or MATH 287).
MATH 287. Honors Calculus III. 4 Credits.
The final course in the honors calculus sequence, designed for exceptional STEM students.
Covers the content of multivariable calculus with added emphasis on mathematical richness,
theoretical depth, and challenging applications. Topics include vectors, partial derivatives,
multiple integrals, vector calculus, and Green’s Theorem. Meets four hours per week.
Fall.
Prerequisite: A grade of C or better in MATH 188 or permission of instructor.
MATH 320. Fundamental Concepts: Probability & Data Analysis. 3 Credits.
A course for prospective teachers of K-8 mathematics. The course will explore data analysis as a four-step investigative process involving question development, data production, data analysis and contextual conclusions. Topics may include describing and comparing data distributions for both categorical and numerical data, exploring bivariate relationships, exploring elementary probability, and using random sampling as a basis for informal inference. Course includes use of appropriate software. Prerequisite: A grade of C or better in MATH 222. Offered irregularly.
MATH 321. Fundamental Concepts: Algebra & Number Theory. 3 Credits.
A course for prospective teachers of K-8 mathematics. Topics chosen from expressions and equations, ratio, proportional relationships and inversely proportional relationships, arithmetic and geometric sequences, factors and multiples (including greatest common factor and least common multiple), prime numbers and the Fundamental Theorem of Arithmetic, divisibility tests, rational versus irrational numbers, the division algorithm, modular arithmetic, functions (linear, quadratic, and exponential). Prerequisite: A grade of C or better in MATH 222. Offered every third semester. See department for rotation schedule.
MATH 322. Fundamental Concepts: Geometry & Measurement. 3 Credits.
A course for prospective teachers of K-8 mathematics. Perimeter, area, surface area, volume, and angle; geometric shapes, geometric solids, transformations, dilations, symmetry, congruence, similarity; modeling with similar triangles, and the Pythagorean Theorem and its converse. The use of appropriate software is an important component of the course. Prerequisite: A grade of C or better in MATH 222.
Offered every third semester. See department for rotation schedule.
MATH 326. Fundamental Concepts: Discrete Math. 3 Credits.
A course for prospective teachers of K-8 mathematics. Topics chosen from logic, Boolean algebra, introductory graph theory, counting techniques and mathematical induction. Coding will be introduced as a way of including technology as well as algorithmic, iterative and recursive thinking into the course. Prerequisite: A grade of C or better in MATH 222. Offered every third semester. See department for rotation schedule.
MATH 327. Fundamental Concepts of Childhood Mathematics. 3 Credits.
A course for prospective teachers of K-8 mathematics. Topics are chosen from: prime numbers and the Fundamental Theorem of Arithmetic, divisibility tests, rational versus irrational numbers, the division algorithm, modular arithmetic, geometric transformations, symmetry, congruence, similarity, the Pythagorean Theorem, logic, and boolean algebra. Coding will be introduced as a way of including algorithmic, iterative, and recursive thinking into the course. Appropriate educational technology (e.g. GeoGebra) will be utilized.
Restricted to students in Education majors.
MATH 328. Fundamental Concepts of Secondary Mathematics. 3 Credits.
A course for prospective teachers of secondary school mathematics. There will be a strong emphasis on the high school New York State Next Generation Mathematics Leaming Standards and Standards for Mathematical Practice. Central ideas from the following topics will be explored and connected from both intuitive and rigorous points of view. Topics include the real and complex numbers, transcendental functions, exponentiation, hyperbolas, ellipses, logarithmic functions, polynomials, statistics, probability, and trigonometry. Appropriate technological tools will be used. Prerequisites: A grade of C or better in MATH 243 Spring of even years.
MATH 331. Probability. 3 Credits.
A calculus-based introduction to probability theory. Topics include sample spaces, events, random variables,
probability distributions, expectation, and important models such as the binomial, Poisson,
exponential, and normal distributions. Emphasis is placed on both theory and
applications. Fall. Prerequisite: A grade of C or better in Calculus II (MATH 156 or MATH 186 or MATH 188).
MATH 336. Applied Statistics. 3 Credits.
A calculus-based introduction to probability and statistical methods with applications in science, engineering,
and the social sciences. Topics include random variables, sampling distributions, estimation, hypothesis testing,
and linear models such as regression and ANOVA. Not open to students with credit for MATH 351. Spring.
Prerequisite: A grade of C or better in Calculus II (MATH 156 or MATH 186 or MATH 188).
MATH 351. Computational Linear Algebra & Statistics for Computer Science. 3 Credits.
This course consists of three components: linear algebra including linear equations and matrices, vector spaces, subspaces, linear independence, bases, dimension, linear transformations, eigenvalues/eigenvectors, and diagonalization; Operations research including linear programming and the simplex method; Statistical inference including point and interval estimation, bias, hypothesis testing, linear models (encompassing regression and ANOVA). Enrollment restricted to Computer Science students or by approval of Department Chair. Not open to students with credit in (MATH 272 or MATH 372 or MATH 336).A grade of C or better in Calculus II (MATH 156 or MATH 186 or MATH 188). Fall.
MATH 361. Introduction to Higher Geometry. 3 Credits.
An exploration of modern geometry through an axiomatic lens, designed with future middle
and high school teachers in mind. Topics include triangle and circle theorems, congruence,
similarity, parallelism, transformational geometry, and an introduction to spherical
and hyperbolic geometry. Includes the use of dynamic geometry
software for investigating conjectures.
Spring of odd years.
Prerequisite: A grade of C or better in MATH 243 and Co-requisite: MATH 372.
MATH 372. Linear Algebra I. 3 Credits.
An introduction to linear algebra and its applications. Topics include systems of linear
equations,
matrices, vector spaces, linear transformations, eigenvalues and eigenvectors,
and orthogonality. Emphasis is placed on both theoretical foundations and
computational techniques. Not open to students with credit for MATH 351.
Prerequisite: A grade of C or better in MATH 243 or MATH 285 or MATH 287.
MATH 375. Internship for Juniors. 3 Credits.
Students participate in an off-campus training experience closely related to their area of mathematics. Frequent meetings with the advisor plus a paper are required. Prerequisites: Junior status, 3.0 GPA and permission of the student's advisor or Department chair.
MATH 377. Algebra I. 3 Credits.
An introduction to abstract algebra with a focus on the structure and properties of groups.
Topics include subgroups, cosets, Lagrange’s Theorem, and homomorphisms. The course deepens
conceptual understanding of algebra and its logical foundations - essential preparation for advanced
mathematical study and for future teachers aiming to bring depth and coherence to high school algebra
instruction. Fall.
Prerequisites: A grade of C or better in MATH 243 and MATH 372.
MATH 385. Vector Calculus. 3 Credits.
Review of vector algebra. Vector-valued functions. Divergence and curl. Multiple integrals; different coordinate systems. Line integrals, Greens Theorem, independence of path, conservative force fields. Surface integrals, Divergence Theorem, Stokes Theorem, Applications. Offered irregularly. Prerequisites: A grade of C or better in Calculus III (MATH 285 or MATH 287).
MATH 386. Partial Differential Equations. 3 Credits.
An introduction to the theory and solution techniques for partial differential equations (PDEs), with applications
in mathematics, physics, and engineering.
Students explore the heat, wave, Laplace equations, and more. Topics include
Fourier series, boundary value problems, separation of
variables, eigenfunction expansion, numerical methods for
approximation, the Fourier transform, and the method of characteristics.
Second order equations are classified.
Prerequisite: A grade of C or better in MATH 286.
MATH 387. Analysis I. 3 Credits.
A rigorous introduction to real analysis. Topics include sequences, limits, continuity,
differentiation, and the Riemann integral. Emphasis is placed on precise definitions,
theorem proving, and deep understanding of the foundations of calculus. Spring.
Prerequisites: A grade of C or better in MATH 243 and Calculus III (MATH 285 or Math
287).
MATH 422. Seminar for Mathematics Education. 3 Credits.
This course is intended for prospective secondary mathematics teachers. Topics in high school mathematics are examined from an advanced perspective. Topics include the real and complex numbers, functions, equations, and trigonometry. Spring. Prerequisites: A grade of C or better in MATH 243 and (MATH 272 or MATH 372 or MATH 351) Offered irregularly.
MATH 432. Statistical Inference. 3 Credits.
Sampling distributions, point estimation, interval estimation, testing statistical hypotheses, regression and correlation. Offered irregularly. Prerequisite: A grade of C or better in MATH 331.
MATH 433. Advanced Statistics. 3 Credits.
Analysis of variance, regression analysis, non-parametric and sequential tests of hypotheses. Offered irregularly. Prerequisite: A grade of C or better in MATH 432.
MATH 448. Combinatorics & Graph Theory. 3 Credits.
Fundamental concepts in combinatorics including binomial coefficients, inclusion-exclusion, and generating functions. Topics in graph theory include connectivity, planarity, colorings and chromatic polynomials, and max-flow-min-cut in networks, and other applications. Not open to students with credit for CMPT 335. Prerequisite: A grade of C or better in MATH 243.
MATH 455. Operations Research. 3 Credits.
An introduction to optimization and decision-making models with practical applications.
Topics include linear programming, the simplex method, duality theory, transportation
and scheduling problems, and queuing theory. Focuses on both problem solving
and the underlying mathematical theory.
Prerequisite: A grade of C or better in MATH 372 or MATH 351 or permission of instructor.
MATH 456. Mathematical Modeling. 3 Credits.
Students work with real-world clients to develop mathematical models that answer practical
questions about their operations. Emphasis is placed on translating real-world problems into
mathematical frameworks, analyzing them with industry-standard tools
(such as R, Excel, MATLAB, or SPSS), and communicating results effectively.
The course blends applied mathematics, client interaction, and professional skill-building.
MATH 457. Machine Learning. 3 Credits.
An introduction to the theory and practice of machine learning,
with a focus on mathematical foundations and real-world applications.
Topics include supervised and unsupervised learning, Bayesian decision theory,
nonparametric methods, neural networks, and clustering. Students gain hands-on
experience with data-driven algorithms used across industry and research.
Prerequisite: A grade of C or better in MATH 372 or MATH 351
or permission of instructor.
MATH 464. Topology. 3 Credits.
Beginning with a review of set theory and basic topological definitions, topological spaces are studied with metric spaces considered as examples. Compactness, connectedness, metrization theorems. An introduction to homotopy theory. Prerequisite: A grade of C or better in MATH 243 or permission of instructor.
MATH 471. Linear Algebra II. 3 Credits.
A continuation of the topics introduced in MATH 372 with emphasis on orthogonality, inner product spaces, eigenvalues and eigenvectors, diagonalization, quadratic forms and numerical linear algebra. Fall. Prerequisite: A grade of C or better in MATH 372. Fall of even years.
MATH 475. Internship for Seniors. 3 Credits.
Students participate in an off-campus training experience closely related to their area of mathematics. Frequent meetings with the advisor plus a paper are required. Prerequisites: Senior status, 3.0 GPA, and permission of the student's advisor or the Department Chair.
MATH 478. Algebra II. 3 Credits.
A continuation of MATH 377. Further study of algebraic structures, such as rings, fields and integral domains. The homomorphism theorems and applications. Spring. Prerequisite: A grade of C or better in MATH 377.
MATH 488. Analysis II. 3 Credits.
A continuation of MATH 387. Topology of the real numbers, uniform convergence, Riemann integral, infinite series, Taylor and Fourier series, metric spaces. Prerequisite: A grade of C or better in MATH 387.
MATH 489. Problem Seminar. 3 Credits.
A capstone course in mathematical problem solving, where students grapple with
challenging and often surprising problems that draw from across the major.
Through collaborative exploration, formal proof, and
mathematical writing, they refine their ability to think critically, argue rigorously,
and communicate with clarity. It celebrates the creativity, persistence,
and precision at the heart of the discipline.
Spring. Prerequisites: A grade of C or better in MATH 377 and MATH 387
or permission of instructor.
MATH 490. Complex Analysis. 3 Credits.
An introduction to the beautiful and powerful world
of functions of a complex variable. Topics include the complex plane, limits, continuity,
analytic functions, the Cauchy-Riemann equations, and the Cauchy
integral theorem with its consequences. Additional topics may include power series,
Taylor and Laurent series, classification of singularities, the Residue Theorem and its
applications, and conformal mapping. Applications to mathematics, physics,
and engineering are explored throughout. Fall of odd years.
Prerequisite: A grade of C or better in (MATH 243 and MATH 285) or MATH 286
or permission of instructor.
MATH 491. Topics in Mathematics. 3 Credits.
Admission only by permission of the Chair of the Department. This course is offered when demand warrants. Prerequisite: Permission of the Department Chair.
MATH 492. Topics in Mathematics. 3 Credits.
Admission only by permission of the Chair of the Department. This course is offered when demand warrants. Prerequisite: Permission of the Department Chair.
MATH 497. Mathematics Seminar. 3 Credits.
A course limited to students of superior ability who wish to study some advanced topic mutually agreed upon by them, the instructor and the Department Chair. Prerequisite: Permission of the instructor and the Department Chair.
MATH 499. Independent Study. 1-3 Credit.
Individual study or research under faculty supervision. Prerequisite: Permission of the instructor and the Department Chair.
Physics Courses
PHYS 101. Physics I. 3 Credits.
A calculus based approach to the basic concepts of mechanics. Three lecture hours. Must also register for PHYS 191 lab. Prerequisite or co-requisite: MATH 155 or MATH 185 or MATH 187.
PHYS 102. Physics II. 3 Credits.
A calculus based approach to the basic concepts of electricity and magnetism. Three lecture hours. Must also register for PHYS 192 lab. Prerequisite: C or better in PHYS 101. Prerequisite or co-requisite: MATH 156 or MATH 186 or MATH 188.
PHYS 105. Principles of Physics I. 3 Credits.
An introduction to the basic principles and concepts of physics including mechanics, oscillations and waves. Three lecture hours. Fall. Co-requisite: PHYS 185 lab.
PHYS 106. Principles of Physics II. 3 Credits.
An introduction to the basic principles and concepts of physics including electricity and magnetism, optics and modern physics. Three lecture hours. Prerequisite: PHYS 105 or equivalent. Spring. Co-requisite: PHYS 186 lab.
PHYS 107. Introduction to Physics I. 3 Credits.
An algebra based approach to the basic concepts of mechanics, oscillations and waves, fluid statics and dynamics with biological applications. Three lecture hours. Fall. Co-requisite: PHYS 193 lab.
PHYS 108. Introduction to Physics II. 3 Credits.
An algebra based approach to the basic concepts of electricity and magnetism, electromagnetic waves, optics and elementary modern physics with biological applications. Three lecture hours. Prerequisite: PHYS 107 or equivalent. Spring. Co-requisite: PHYS 194 lab.
PHYS 185. Principles of Physics I Lab. 1 Credit.
Principles of Physics I Laboratory. Three lab hours. Co-requisite: PHYS 105.
PHYS 186. Principles of Physics II Lab. 1 Credit.
Principles of Physics II Laboratory. Three lab hours. Co-requisite: PHYS 106.
PHYS 191. Physics I Lab. 1 Credit.
Physics I Laboratory. Three lab hours, Co-requisite: PHYS 101.
PHYS 192. Physics II Lab. 1 Credit.
Physics II Laboratory. Three lab hours. Co-requisite: PHYS 102.
PHYS 193. Introduction to Physics I Lab. 1 Credit.
Introduction to Physics I Laboratory. Three lab hours. Co-requisite: PHYS 107.
PHYS 194. Introduction to Physics II Lab. 1 Credit.
Introduction to Physics II Laboratory. Three lab hours. Co-requisite: PHYS 108.
PHYS 201. Wave Theory of Light and Matter. 3 Credits.
Intermediate level introduction to electromagnetic waves and the theory of light, geometrical and physical optics, introduction to quantum concepts and the wave nature of matter with applications to the solid state.
PHYS 209. Mathematical Methods in Physics. 3 Credits.
Mathematical methods for intermediate and advanced courses in physics and related fields. Topics include vector calculus, complex numbers and functions, matrices and eigenvalue problems, ordinary and partial differential equations. Three lecture hours. Fall. Prerequisites: C or better in PHYS 102. Prerequisite or co-requisite: MATH 285 or MATH 287.
PHYS 221. Physics of Digital Systems. 4 Credits.
The basic physics and selected circuit applications of solid state devices such as the diode, transistor and op-amp as used in digital systems. Development of band theory and the diode equation from first principles. Three lecture hours. Spring. Prerequisites: PHYS 101, PHYS 102 sequence. Co-requisite: PHYS 221L lab.
PHYS 222. Astronomy. 3 Credits.
An intermediate level broad overview in astronomy. Spherical coordinates, reference systems, rotational dynamics, astronomical tools, Solar System, space weather, exoplanets, star formation, stellar evolution, galaxies and the large scale structure of the Universe. Prerequisite: C or better in PHYS 101 and PHYS 102.
PHYS 233. Physics III. 3 Credits.
Introduction to oscillations, mechanical waves, fluid dynamics, and thermodynamics. Three lecture hours. Fall. Prerequisite: C or better in PHYS 102.
PHYS 234. Physics IV. 3 Credits.
Gravitation, electromagnetic waves, optics, introduction to modern physics, and solid state physics. Three lecture hours. Spring. Prerequisite: C or better in PHYS 102.
PHYS 262. Intermediate Laboratory. 1 Credit.
Experiments in electricity and magnetism, optics, and introductory modern physics. Three Lab hours.
PHYS 301. Computational Physics. 3 Credits.
An introduction to computational physics. Monte Carlo techniques. Numerical differentiation and integration. Searching, fitting and data analysis. Differential equations. Three lecture hours. Spring. Pre-requisites: C or better in PHYS 102; C or better in MATH 285 or MATH 287.
PHYS 309. Mechanics. 3 Credits.
Dynamics of particles and systems, gravitation, rotating coordinates, motion of rigid bodies, Lagrangian formulation, coupled oscillators. Three lecture hours. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 311. Atomic & Nuclear Physics. 3 Credits.
Schrodinger wave theory for atomic structure. Magnetic field effects on atoms. Atomic and molecular spectra. Introductory nuclear physics. Three lecture hours. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 312. Quantum Mechanics I. 3 Credits.
Introduction to Quantum theory. One dimensional quantum systems. The harmonic oscillator. Central potentials. Spring. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 314. Electricity and Magnetism. 3 Credits.
Electrostatics, magnetostatics, and electrodynamics, using vector analysis. Maxwell’s equations in free space and linear media. Electromagnetic waves and their interaction with matter. Spring of odd years. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 341. Topics in Astrophysics. 3 Credits.
Topics of current interest in astrophysics, including stellar structure and atmospheres, evolution and remnants, formation of stars and planetary systems, galactic structure and evolution of galaxies. Spring of odd years. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 350. Optics. 3 Credits.
Wave optics, light and matter, interference, diffraction, polarization, and advanced topics in optics. Fall of even years. Three lecture hours. Prerequisites: C or better in PHYS 102; C or better in MATH 285 or MATH 287.
PHYS 352. Modern Physics Lab II. 3 Credits.
Advanced experiments in atomic and nuclear physics. Properties of radioactivity. One four-hour period. Fall of odd years.
PHYS 375. Internship for Juniors. 3 Credits.
Students participate in an off-campus training experience closely related to one of the areas of physics. Frequent meetings with the advisor plus a paper are required. Prerequisites: Junior status, 3.0 GPA, and permission of the student's advisor or Chair.
PHYS 410. Advanced Theoretical Physics. 3 Credits.
A rigorous treatment of the mathematical language of modern theoretical physics. Topics include vectors and tensors, geometry of flat and curved spacetime, group theory in quantum mechanics and particle physics. Three lecture hours. Spring of even years. Prerequisites: C or better in PHYS 209 or permission of department chair.
PHYS 414. Electromagnetic Radiation II. 3 Credits.
Dielectric and Magnetic materials, electromagnetic waves in free space and media. Dipole radiation.
PHYS 415. Statistical Mechanics. 3 Credits.
Statistical mechanics of many body systems in equilibrium. Thermal behavior and phase transitions in condensed matter. Boltzmann's equation and non-equilibrium phenomena. Spring of even years. Prerequisite: C or better in PHYS 209.
PHYS 432. Solid State Physics. 3 Credits.
Lattices and crystal binding. Phonons and lattice vibrations. Thermal properties of insulators. Metals, free electron gas, energy bands. Semiconductors, mobility, life times, p-n junctions. Superconductivity, B.C.S. theory. Phase transitions Magnetorthermal properties. Three lectures.
PHYS 440. Research Project in Physics. 3 Credits.
Introductory level student research projects in either experimental or theoretical physics carried out under the guidance of a faculty member. Permission of department chair required.
PHYS 441. Senior Thesis. 3 Credits.
An independent study program in experimental or theoretical physics to provide an opportunity for the scientific development of advanced undergraduate physics majors. Minimum of six hours a week devoted to an organized study program is required. Permission of department chair necessary.
PHYS 443. Quantum Mechanics II: Quantum Computing & Information. 3 Credits.
Development of the formal structure of quantum mechanics. Time independent perturbation theory. Theory of scattering. Entanglement, Bell's theorem, quantum computing and quantum information. Pre-requisite: C or better in PHYS 312 or with permission of department chair.
PHYS 445. Research Project in Physics. 2 Credits.
Introductory level student research projects in either experimental or theoretical physics carried out under the guidance of a faculty member. Permission of department chair required.
PHYS 446. Topics in Cosmology. 3 Credits.
Topics of current interest in cosmology, including cosmic distance ladder, geometry of the expanding universe, thermal history and cosmic microwave background, inflation and the primordial era. Fall of odd years. Prerequisite: C or better in PHYS 209 or with permission of department chair.
PHYS 450. Seminar. 1 Credit.
Study of special topics in physics under the guidance of a faculty member. B.S. majors will give a final presentation or paper on either a theoretical or experimental topic in the spring semester of the senior year. Permission of department chair required.
PHYS 475. Internship for Seniors. 3 Credits.
Students participate in an off-campus training experience closely related to their area of physics. Frequent meetings with the advisor plus a paper are required. Prerequisites: Senior status, 3.0 GPA, and permission of the student's advisor or the Chair.
PHYS 499. Independent Study. 1-3 Credit.
Individual study or research under faculty supervision. Pre-requisite: Permission of the Department Chair.