Advance Engineering Analysis

Dennis Zill, and Warren Wright
"Advanced Engineering Mathematics"
5th Edition, Jones & Bartlett Learning, 2014

Applied mathematics for engineers.
Generalized Fourier analysis, complex variables, vector calculus, introduction to partial differential equations, and linear algebra.

Part 1 - Ordinary Differential Equations

Module 1 - Introduction to Differential Equations

Module 2 - First-Order Differential Equations

Module 3 - Higher-Order Differential Equations

Module 4 - The Laplace Transform

Module 5 - Series Solutions of Linear Differential Equations

Part 2 - Vectors, Matrices, and Vector Calculus

Module 1 - Vectors

Module 2 - Matrices

Module 3 - Vector Calculus

Part 3 - Systems of Differential Equations

Module 1 - Systems of Linear Differential Equations

Module 2 - Systems of Nonlinear Differential Equations

Part 4 - Partial Differential Equations

Module 1 - Orthogonal Functions and Fourier Series

Module 2 - Boundary-Value Problems in Rectangular Coordinates

Module 3 - Boundary-Value Problems in Other Coordinate Systems

Module 4 - Integral Transform Method

Part 5 - Complex Analysis

Module 1 - Functions of a Complex Variable

Module 2 - Integration in the Complex Place

Module 3 - Series and Residues