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Department of Mathematics

The Princeton Review 371 Best Colleges

Computational and Applied Mathematics (CAM) Course Descriptions and Current Course Syllabi

(A minor in CAM requires six courses chosen from this list.)

1351 Mathematical Technology (3-0). Mathematical software applications, including both computer algebra systems and mathematical typesetting software.
Prerequisite: MATH 130B or equivalent. (Credit may not be earned for both this course and MATH 1351.)

1361 Computer Science I. The concepts and properties of algorithms for solving numerical and non-numerical problems. Introduction to computer and programming systems, including the development, debugging, and verification of programs, representation of data, computer characteristics and organization. (Credit may not be earned for both this course and CS 1361.)

1362 Computer Science II. Continuation of CS 1361/CAM 1361. Problem solving and program development techniques emphasizing modular design. Includes advanced programming topics such as class design, records, strings, pointers, and bit manipulation.
Prerequisite: CS 1361 or CAM 1361. (Credit may not be earned for both this course and CS 1362.)

2305 Discrete Mathematics I (3-0). An introduction to discrete mathematics including counting principles, combinatorics, discrete probability, sequences, series, and binomial theorem.
Prerequisite: MATH 130B or equivalent. (Credit may not be earned for both this course and MATH 2305.)

3301 Linear Algebra (3-0). The algebra and geometry of finite dimensional vector spaces; determinants; linear transformations and matrices; characteristic values and vectors of linear transformations; applications.
Prerequisite: MATH 2331 or 2513 or equivalent. (Credit may not be earned for both this course and MATH 3301.)

3305 Discrete Mathematics II (3-0). Graphs, matrices, computational methods, and other discrete structures.
Prerequisite: MATH 2305 or CAM 2305. (Credit may not be earned for both this course and MATH 3305.)

3307 Probability and Statistics (3-0). Mathematical models of random processes; probability spaces; random variables; dependence and independence; mean values and moments of random variables; density and distribution functions; laws of large numbers.
Prerequisite: MATH 3333 or MATH 3514. (Credit may not be earned for both this course and MATH 3307.)

3315 Vector Calculus (3-0). Calculus of vector-valued functions including differentiation, integration; line, surface, and volume integrals; gradient, divergence, and curl; integral theorems; applications.
Prerequisite: MATH 3514.(Credit may not be earned for both this course and MATH 3315.)

3335 Differential Equations (3-0). Solution of differential equations, with geometric and physical applications.
Prerequisite: MATH 3333 or MATH 3514. (Credit may not be earned for both this course and MATH 3335.)

4311 Numerical Analysis (3-0). Number representations, error analysis; roots of equations; numerical integration, approximation, and differentiation; systems of equations; approximation by spline functions; ordinary differential equations; Monte Carlo methods and simulation.
Prerequisite: Mathematics 3514; Computer Science 1361 or Computational and Applied Mathematics 1361, or equivalent. (Credit may not be earned for both this course and MATH 4311.)

4335 Partial Differential Equations (3-0). A survey of partial differential equations, including classification, qualitative features, methods of solution, and applications.
Prerequisite: Mathematics 3514, Mathematics 3335 or Computational and Applied Mathematics 3335.(Credit may not be earned for both this course and Mathematics 4335.)

4345 Topics in Applied Mathematics (3-0). Selected topics in applied mathematics. (May be repeated for credit when the topic varies.)
Prerequisite: Consent of the instructor. (Credit may not be earned for both this course and MATH 4345.)

4361 Complex Analysis (3-0). Complex numbers, analytic functions, complex integration, power series, residues, conformal mapping, and applications.
Prerequisite: MATH 3333 or 3514. (Credit may not be earned for both this course and MATH 4361.)


Anticipated Mathematics Course Schedule

     Future Mathematics (MATH) Course Schedule
     Future Computational and Applied Mathematics (CAM) Course Schedule