Advanced Engineering Math

Course Overview

This course provides the foundation of the major tools used in some engineering classes. We will cover topics from Complex Analysis, Linear Algebra and Differential Equations. Our main objective is to understand the core concepts and become proficient in the use of the tools needed to solve different types of common engineering problems.

Brief Course Description: The course will be divided mainly in three parts:

Complex Analysis: Become familiar with the notion of complex numbers. Compute powers, roots, exponential and logarithm of such numbers.

Linear Algebra: Understand and solve systems of linear equations, understand the importance of linear independence, bases, rank, and determinants. Understand the importance of eigenvectors, eigenvalues and diagonalization.

Differential Equations: Understand the solutions of ODEs. Solve first and second order linear differential equations with constant and non-constant coefficients by using common techniques as integration factors. Determine linear independence of solutions, compute eigenvalues and eigenvectors, and solve systems of ODEs.

Prerequisites

• MTH 142

Textbooks

• The URI edition (called Topics in Advanced Engineering Mathematics) of the textbook Advanced Engineering Mathematics by Erwin Kreyszig, 10th edition (2011) will be used.

Grading

• Exam 1: 15%
• Exam 2: 15%
• Quizzes: 10%
• Theoretical Handouts: 10%
• Homework: 20%
• Cumulative Final Exam: 30%

Important Note: A requisite to pass the class is to score 60% or more in any or the 3 exams. That is, you need to pass at least one exam to pass the class. If you fail all 3 exams but you have a passing average, you will still fail the class.