Engineering analysis is a graduate-level course that covers matrix methods, complex variables, and variational methods, with an emphasis on applications to science and engineering.
The matrix methods material is from the book Matrix, Numerical, and Optimization Methods in Science and Engineering.
The complex variables methods material is from Complex Variable Methods with Applications in Science and Engineering.
The variational methods material is from the book Variational Methods with Applications in Science and Engineering.
YouTube Videos: Matrix Methods Chapter 1 - Vector and Matrix Algebra
YouTube Videos: Matrix Methods Chapter 2 - Algebraic Eigenproblems and Their Applications
YouTube Videos: Matrix Methods Chapter 3 - Differential Eigenproblems and Their Applications
YouTube Videos: Complex Variable Methods Chapter 1 - Functions of a Complex Variable
YouTube Videos: Complex Variable Methods Chapter 2 - Conformal Mapping and Boundary-Value Problems
YouTube Videos: Variational Methods Chapter 1 - Preliminaries
YouTube Videos: Variational Methods Chapter 2 - Calculus of Variations
YouTube Videos: Variational Methods Chapter 4 - Hamilton's Principle
YouTube Videos: Variational Methods Chapter 5 - Classical Mechanics
YouTube Videos: Variational Methods Chapter 10 - Optimization and Control