Week 15-2. Eigenvalue Problems

Week 14-1. Matrix and Vector

Week 15-1. Linear Systems of Equations 2, Vector Spaces, Linear transformations

Week 14-2. Linear Systems of Equations 1

Week 13-2. Systems of ODE

Week 13-1. Differential equations and Laplace transform

Week 12-2. Unit Step Function(Heaviside Function). Second Shifting Theorem(t-Shifting)

Week 12-1. Laplace Transform. First Shifting Theorem(s-Shift)

Week 11-1. Laplace Transform, LT of Functions

Week 10-1. Basics of Matrices and Vectors

Week 10-2. Systems of ODEs and Wronskian

Week 9-2. Nonhomogeneous Linear ODEs

Week 9-1. Homogeneous Linear ODEs

Week 7-1. Modeling 2

Week 7-2. Solution by Variation of Parameters

Week 6-1. Euler-Cauchy Equation, Existence and Uniqueness of Solutions, Wronskian

Week 6-2. Nonhomogeneous ODEs

Week 5-2. Mass-Spring System, Mass-Spring-Damper System

Week 5-1. Modeling

Week 4-1. Second Order Linear ODEs, Initial Value Problem, and Reduction of Order

Week 4-2. 2nd Order Homogeneous Linear ODEs

Week 3-1. 1st Order Nonhomogeneous Linear ODEs

Week 3-2. Chapter 1 Summary

Week 2-1. Separable ODEs, Exact ODEs, and Integrating Factors (3)

Week 2-1. Separable ODEs, Exact ODEs, and Integrating Factors (2)

Week 2-2. 1st Order Homogeneous Linear ODEs

Week 2-1. Separable ODEs, Exact ODEs, and Integrating Factors (1)

Week 1-2. Differential Equations

Week 1-1. Overview of Engineering Mathematics (2)

Week 1-1. Overview of Engineering Mathematics (1)