Applied Mathematics, BA
Contact
Interim Department Chair: Alan Middleton, aamiddle@syr.edu
Associate Chair for Undergraduate Studies: mathdept@syr.edu
Advisors
S.P. Diaz, L. Kovalev, S. Wehrli
Faculty
Uday Banerjee, Pinyuen Chen, Dan Coman, Steven Diaz, Shukai Du, Nicole L. Fonger, Pierre Yves Gaudreau Lamarre, Duane Graysay, Thomas John, Lee Kennard, Justin Ko, Leonid Kovalev, Graham J. Leuschke, Adam Lutoborski, Rachana Maharjan, Joanna O. Masingila, Moira McDermott, Jeffrey Meyer, Claudia Miller, Jani Onninen, Josh Pollitz, Hamidreza Rahmati, Lixin Shen, Gregory Verchota, Stephan Wehrli, Peixue Wu, William Wylie, Yiming Zhao
B.A. in Applied Mathematics is recommended for those students who are pursuing another quantitatively rich major which they consider their primary interest. The toolkit of applicable mathematical methods will enable them to advance further in their own field, whether in industry or in academia.
Student Learning Outcomes
- Demonstrate facility with the techniques of single and multivariable calculus and linear algebra
- Effectively communicate mathematical ideas orally and in writing
- Make symbolic calculations by hand and numerical calculations using MATLAB (or other appropriate software)
- Reproduce essential assumptions, definitions, examples, and statements of important theorems
- Solve standard science and engineering problems by selecting and applying and appropriate mathematical model
- Solve problems using advanced undergraduate methods from one of the following areas: differential and linear equations, analysis, probability and statistics
Preliminary and Extra-disciplinary Requirements
Preliminary and extra-disciplinary requirements for both B.A and B.S. degrees
- Complete 18 credits in the following classes with no grade below a C: MAT 295 Calculus I, MAT 296 Calculus II, MAT 331 First Course in Linear Algebra, MAT 397 Calculus III, and MAT 375 Introduction to Abstract Mathematics or CIS 375 Introduction to Discrete Mathematics. These courses are prerequisites for most upper-division courses. The following sequence is recommended: MAT 295 Calculus I in the first semester; MAT 296 Calculus II in the second semester; MAT 331 First Course in Linear Algebra, MAT 397 Calculus III in the third semester; and MAT 375 Introduction to Abstract Mathematics/CIS 375 Introduction to Discrete Mathematics when appropriate. However, a student with knowledge of trigonometry and a year of high school calculus may be able to enter the sequence at MAT 296 Calculus II or even MAT 397 Calculus III; a student with less preparation may be advised to complete MAT 194 Precalculus before beginning the calculus sequence. Students considering becoming mathematics majors are strongly encouraged to talk to a mathematics major advisor as soon as possible to ensure appropriate selection of
courses. - Complete a course in computing such as CPS 196 Introduction to Computer Programming, ECS 104 Engineering Computational Tools, IST 256 Introduction to Python for the Information Profession, IST 356 Programming Techniques for Data Analytics, or PHY 307 Science and Computers I. A similar course may be substituted with advisor’s approval.
- Complete two sequences of two approved science courses for a total of four different courses outside of the mathematics department, such as BIO 121 General Biology I - BIO 123 General Biology II, CHE 106 General Chemistry Lecture I (CHE 107 General Chemistry Laboratory I) - CHE 116 General Chemistry Lecture II (CHE 117 General Chemistry Laboratory II),PHY 211 General Physics I (PHY 221 General Physics Laboratory I) - PHY 212 General Physics II (PHY 222 General Physics Laboratory II), ECN 101 Introductory Microeconomics - ECN 102 Introductory Macroeconomics, orECN 101 Introductory Microeconomics - ECN 203 Economic Ideas and Issues, ECS 221 Statics - ECS 222 Dynamics, or another, more advanced sequence with the approval of a mathematics major advisor. This requirement is waived if the student earns either (i) a minor in Applied Statistics, Biology, Chemistry, Computer Science, Economics, Engineering disciplines, Information Management & Technology, Physics, Data Analytics, or Sport Analytics or (ii) a major in one of natural sciences, engineering/technology disciplines, economics, finance, Applied Data Analytics, or Sport Analytics.
B.A. Degree Requirements
In addition to the preliminary and extra-disciplinary requirements described above, the student must earn credit for the following courses, with a grade average of at least 2.0.
| Code | Title | Credits |
|---|---|---|
| Three Required Courses | ||
| MAT 414 | Introduction to Ordinary Differential Equations | 3 |
| MAT 532 | Applied Linear Algebra | 3 |
| or MAT 531 | Second Course in Linear Algebra | |
| MAT 581 | Numerical Methods with Programming | 3 |
| Groups | ||
| Select two courses out of one of the following groups: | 6 | |
| Differential and Linear Equations | ||
| Advanced Calculus | ||
| Partial Differential Equations and Fourier Series | ||
| Fourier Series, Transforms and Wavelets | ||
| Numerical Linear Algebra (See graduate catalog for course description) | ||
| Analysis | ||
| Introduction to Real Analysis I | ||
| Advanced Calculus | ||
| Introduction to Real Analysis II | ||
| Introduction to Complex Analysis | ||
| Differential Geometry | ||
| Probability and Statistics | ||
| Introduction to Probability | ||
| Mathematical Statistics | ||
| Introduction to Stochastic Processes | ||
| Fundamentals of Data Science | ||
| Probability Models for Actuarial Science | ||
| Total Credits | 15 | |
Additional Information
With consent of the mathematics major advisor, these groupings may be altered.
3 credits of elective mathematics courses:
MAT 412 Introduction to Real Analysis I or those MAT courses numbered 490 or higher, except MAT 503 Matrix Methods for Data Science. With prior approval of the student’s major advisor, a mathematically rich 500+ level course in another department may be substituted for the mathematics elective.
College of Arts and Sciences Requirements
For all Arts and Sciences|Maxwell students, successful completion of a bachelor’s degree in this major requires a minimum of 120 credits, 96 of which must be Arts and Sciences|Maxwell credits, completion of the Liberal Arts Core requirements, and the requirements for this major (30 credits) that are listed above.
Dual Enrollments:
Students dually enrolled in Newhouse* and Arts and Sciences|Maxwell will complete a minimum of 122 credits, with at least 90 credits in Arts and Sciences|Maxwell coursework and an Arts and Sciences|Maxwell major.
*Students dually enrolled in the College of Arts and Sciences|Maxwell as first year students must complete the Liberal Arts Core. Students who transfer to the dual program after their first year as singly enrolled students in the Newhouse School will satisfy general requirements for the dual degree program by completing the Newhouse Core Requirements.
Undergraduate University Requirements
The following requirements and experiences apply to all Syracuse University Undergraduate matriculated degree programs.