Advance Engineering Analysis
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