18.3x

Applied Mathematics

This heading includes discrete and continuous applied mathematics and combinatorics.

  • 18.310 (Principles of Applied Mathematics/Discrete) develops the principles of discrete applied mathematics. Prerequisites: 18.02. 18.310 has a variant, 18.310C, which carries CI-M credit.

  • 18.311 (Principles of Applied Mathematics/Continuous) develops the principles of continuous applied mathematics. Prerequisites: 18.02 and 18.03.

  • 18.303 (Linear Partial Differential Equations) develops the classical partial differential equations of applied mathematics. Prerequisites: 18.02 and 18.03.

  • 18.314 (Combinatorial Analysis) is a foundational subject in combinatorics. Prerequisites: 18.02 and 18.06.

  • 18.330 (Introduction to Numerical Analysis) develops the foundations of numerical analysis. Prerequisites: 18.02 and 18.03.

Other applied mathematics subjects, requiring somewhat more background, include:

  • 18.312 (Algebraic Combinatorics) a more algebraically demanding approach to combinatorics than 18.314. Prerequisites: 18.700 or 18.701.

  • 18.353J (Nonlinear dynamics I: Chaos) coincides with 2.050J and with 12.006J. Prerequisites: 18.03 and 8.02. It has as a sequel 18.354J, also known as 12.207J, Nonlinear Dynamics II: Continuous systems.

There are two Undergraduate Seminars in applied mathematics:

  • 18.304 (Undergraduate Seminar in Discrete Mathematics) Prerequisites: 18.310 and 18.700.

  • 18.384 (Undergraduate Seminar in Physical Mathematics) focusing on continuous applied mathematics. Prerequisites: 18.311 or 18.54.