# Advance Engineering Analysis

**Reference Book**

**Reference Book**

Dennis Zill, and Warren Wright

“** Advanced Engineering Mathematics**“

5th Edition, Jones & Bartlett Learning, 2014

**Course Goals**

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

**Course Modules**

**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**