Advanced Mathematics for Engineers and Physicists I

Linear algebra, systems of differential equations, stability, Laplace transforms, Fourier series, Fourier transforms, partial differential equations.

MA52700

Credit Hours:

3

Learning Objective:

  1. Know the theory of systems of linear equations
  2. Know the theory of eigenvalues and eigenvectors and apply it to solve systems of ordinary differential equations and to analyze qualitative features
  3. Know theoretical properties of Laplace transforms and how to use them
  4. Know the basic theory of Fourier series and transforms, and how to apply these to solve partial differential equations

Description:

MA 52700 and MA 52800 cover a broad range of mathematical topics useful in early graduate engineering courses.

Topics Covered:

Linear algebra, systems of ordinary differential equations, Laplace transforms, Fourier series and transforms, and partial differential equations.

Prerequisites:

Previous experience with linear algebra is strongly recommended. Some familiarity with differential equations is also assumed.

Applied / Theory:

20/80

Web Address:

https://purdue.brightspace.com

Web Content:

In addition to the course website, syllabus, grades, lecture notes, homework assignments and solutions will be available via Brightspace

Homework:

Weekly problem sets from the textbook consisting of roughly 10 or more exercises.

Projects:

None.

Exams:

In-person proctoring is the default expectation; online proctoring with Examity requires approval of special circumstances.

Textbooks:

Erwin Kreyszig, Advanced Engineering Mathematics, 10th edition, Wiley, 2011