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