Mathematical models form the basis for much of our understanding of the physical world and are used to predict and analyze complex phenomena. Theoretical and computational linear algebra, Fourier analysis, and differential equations are particularly important since they are essential in modeling mechanical systems, heat transfer, fluid dynamics, and wave motion of all kinds (electromagnetic, sound, seismic, water waves, etc.). The Engineering and Physical Sciences option exposes students to these classical areas of applied mathematics. It is also ideal as a second major for students in engineering or a physical science. Program Requirements

**Description**

Applied and computational mathematics are heavily used in the physical sciences and engineering. Mathematical models form the basis for much of our understanding of the physical world, and can be used to predict and analyze complex phenomena. Differential equations are particularly important since they are essential in modeling mechanical systems, heat transfer, fluid dynamics, and wave motion of all kinds (electromagnetic, sound, seismic, water waves, etc.). Statistical analysis, computational techniques, linear algebra, Fourier analysis, and other mathematical techniques are also critical in many fields. This Option is an excellent choice for students with an interest in the physical world and classical areas of applied mathematics. It is also ideal as a second major for students in engineering or a physical science who want to obtain a firm foundation in applied mathematics.

**Option Core (30 credits)**

- PHYS 121, 122, 123 (5,5,5)
- MATH 224: (3) Multivariable Calculus I (for students admitted to the ACMS major before Autumn 2021)
- AMATH 401,402,403: (4,4,4) Methods of Applied Mathematics I,II & III

**Option Electives -- Group I (6 credits)**

At least 6 additional credits from approved courses (at the 300 level or higher) in the Departments of Applied Mathematics, Computer Science and Engineering, Mathematics, and Statistics. The following pre-approved courses are particularly recommended:

- AMATH 301: (4) Beginning Scientific Computing
- AMATH 353: (3) Partial Differential Equations & Fourier Analysis
- AMATH 481: (5) Scientific Computing
- AMATH 482: (5) Computational Methods for Data Analysis
- AMATH 483: (5) High-Performance Scientific Computing
- MATH 300: (3) Mathematical Reasoning
- MATH/STAT 394,395: (3,3) Probability I & II
- MATH 427,428: (3,3) Topics in Applied Analysis
- MATH 464,465: (3,3) Numerical Analysis I & II

**Option Electives -- Group II (14 credits) **

At least 14 credits of approved courses in physical science or engineering departments which emphasize the mathematical sciences. Unless exempted by petition, at least three courses must be in a single department and all must be at the 300 level or higher.

**Please see ACMS advising to discuss your choices and have them approved!**

**Warning:** Some courses in other departments are available to non-majors only on a space-available basis. This should be kept in mind when planning a program. It is also the responsibility of the student to determine any prerequisite requirements pertaining to their chosen elective courses.

**Double majors / Double degrees** Students who complete a double major or double degree in an approved physical science or engineering department will naturally have satisfied the Group II Option Electives.