Brief Description
Mathematical tools are essential in analysis and prediction for a wide range of engineering problems. Engineering mathematics is a post-calculus course for undergraduate students. It extends the discussion to various types of differential equations and advanced topics. Through class lectures, homework assignments, and exams, you will acquire the knowledge on some but not all the equations with engineering interest and be ready to utilize it in engineering problems such as fluid mechanics, solid mechanics, control theory, etc. Furthermore, you should have a good grasp of the physical meaning behind the math and be able to interpret the solution. This is a two-semester series.
Course keywords
vector calculus, Fourier analysis, partial differential equations, complex analysis
Textbook
Kreyszig, "Advanced Engineering Mathematics", abridged version 10th ed., John Wiley (2018)
Syllabus
1. Vector calculus
2. Fourier series and integral
3. Fourier transform
4. Sturm-Liouville problem
5. Partial differential equations
6. Complex analysis
