A sketch of a more structured Applied Math major option
To satisfy the major requirements, one must take core courses + 4
courses which form a coherent program of study (e.g. 3 courses from
any specialization plus one other course; courses taken outside the
department must be approved by the advisor to majors). Starred
courses are honors courses. Bracketed courses are suggestions for
future offerings.
Total course requirements: 9 + 5 prerequisites
Prerequisites:
- Calculus (3)
- Calculus + Linear Algebra (8)
- Multivariable calculus (13)
- Linear Algebra (22) or (24*) (preferably a course emphasizing applications)
- Intro.to Computer Science (CS 5 or CS 9*) or
Intro. to Computer Science w/ Applications in Engineering (CS 14)
Core Courses:
- Discrete Probability (20) or (60*)
- ODE's (23)
- Numerical methods in Computation (26)
- Probability and Statistical Inference (50)
- Real Analysis (35) or (63*)
Specializations:
- Analysis
- Functions of a Complex Variable (43)
- Fourier Analysis and Integration (83*)
- Differential Geometry I (42)
- Mathematics in the Physical Sciences (33)
- Introduction to Dynamical Systems (53)
- Numerical Analysis (56)
- Multi-Variable Analysis (73*)
- Methods in Applied Mathematics I and II (Physics 100, 101)
- Combinatorial Methods
- Introduction to Combinatorics (28)
- Algebraic Combinatorics (68*)
- Linear Programming (16)
- Graph Theory (38)
- Topics in Algebra (31)
- Probability and Statistics
- Introduction to Combinatorics (28)
- Topics in Applied Probability (40)
- Mathematical Statistics (70*)
- Mathematical Physics
- Mathematics in the Physical Sciences (33)
- Introduction to Dynamical Systems (53)
- Mechanics (Physics 44 -- requires 13)
- Electricity and Magnetism (Physics 41 -- requires 13, 14)
- Electromagnetic Waves (Physics 66 -- requires 41)
- Optics (Physics 47 -- requires 13, 14)
- Statistical Physics (Physics 43 -- requires 13, 14, 24)
- Distributed Systems and Fields (Engineering 50)
- Introduction to Thermodynamics (Engineering 61 -- requires Physics 13)
- Fluid Dynamics (Engineering 62 -- requires Egr. 50 and 61)
- Numerical Analysis
- Numerical Linear Algebra (CS 106)
- Computational Methods for PDE's (Engineering 105)
- Computational Methods for PDE's II (Engineering 107)
- Introduction Optimization Methods (Engineering 106)
- Parallel Computing (Engineering 108)
- Mathematical modeling
- Introduction to Linear Models (30)
- Linear Programming (16)
- Mathematical Models in theSocial Sciences (36)
- Introduction to Dynamical Systems (53)
- [mathematical biology course]
- Introduction to Mathematical Modeling (Math & Soc. Sci 30)
- Careers, Stratification, and Mobility (Math & Soc. Sci 44)
- Data Analysis (Math & Soc. Sci 45)
- Principles of Climate Modeling (Engineering 25 -- requires Physics 3)
- Microeconomics (Economics 21 -- requires Economics 1)
- Macroeconomics (Economics 22 -- requires Economics 1)
- Theory of Finance (Economics 36 -- requires Economics 10, 21, 26)
- Games and Economic Behavior (Economics 75 -- requires Economics 21)
- Signal Processing
- Functions of a Complex Variable (43)
- Fourier Analysis and Integration (83)
- Probability and Statistical Inference (50)
- Signal Processing (Engineering 131 -- requires Egr. 54 & 70)
- [Medical Imaging]
- [Wavelets and Harmonic Analysis]
- [Information Theory and Coding]