Advanced Mathematics for Engineers and Physicists I - MA52700
MA 52700 and MA 52800 cover a broad range of mathematical topics useful in early graduate engineering courses.
Credit Hours: 3
Instructor(s): Philip Mummert
Learning Objective:
- Know the theory of systems of linear equations
- Know the theory of eigenvalues and eigenvectors and apply it to solve systems of ordinary differential equations and to analyze qualitative features
- Know theoretical properties of Laplace transforms and how to use them
- Know the basic theory of Fourier series and transforms, and how to apply these to solve partial differential equations
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