Video Lectures (2020-1 Fall Semester)
- Video 1 Introduction, Direction Fields
- Video 2 Separable and Homogeneous Equations
- Video 3 First order Linear Equations
- Video 4 Modeling with First Order Equations
- Video 5 Differences Between Linear and Nonlinear Equations
- Video 6 Exact Equations and Integrating Factors
- Video 7 Systems of First Order ODE’s
- Video 8 System of Linear Algebraic Equations (part 1)
- Video 9 System of Linear Algebraic Equations (part 2)
- Video 10 Eigenvalues and eigenvectors, Linear independence
- Video 11 Basis theory of systems of first order linear ODEs
- Video 12 Complex Eigenvalue
- Video Lecture 13: Repeated Eigenvalues and Fundamental Matrices (Part 1)
- Video Lecture 14: Repeated Eigenvalues and Fundamental Matrices (Part 2)
- Video Lecture 15: Repeated Eigenvalues, Jordan Form
- Video Lecture 16: Repeated Eigenvalues, Solution
- Video Lecture 17: Nonhomogeneous Systems
- Video Lecture 18: Higher Order Linear Equations (Part 1)
- Video Lecture 19: Higher Order Linear Equations (Part 2)
- Video Lecture 20: Higher Order Linear Equations (Part 3)
- Video Lecture 21: Higher Order Linear Equations (Part 4)
- Video Lecture 22: Higher Order Linear Equations (Part 5)
- Video Lecture 23: Higher Order Linear Equations (Part 6)
- Video Lecture 24: Method of Undetermined Coefficients (Part 1)
- Video Lecture 25: Method of Undetermined Coefficients (Part 2)
- Video Lecture 26: Variation of Parameters
- Video Lecture 27: Mechanical Vibrations
- Video Lecture 28: Forced Vibrations
- Video Lecture 29: Review of Power Series
- Video Lecture 30: Series Solutions Near an Ordinary Point, I
- Video Lecture 31: Series Solutions Near an Ordinary Point, II
- Video Lecture 32: Regular Singular Points and Euler Equation
- Video Lecture 33: Series Solutions Near a Regular Singular Point
- Video Lecture 34: Laplace Transform
- Video Lecture 35: Solving Initial Value Problems Using Laplace Transform
- Video Lecture 36: Step Functions
- Video Lecture 37: Differential Equations with Discontinuous Forcing Functions
- Video Lecture 38: Impulse Function and Convolution
- Video Lecture 39: Convolution
- Video Lecture 40: Heat Equation and Separation of Variables
- Video Lecture 41: Fourier Series
- Video Lecture 42: Fourier Convergence Theorem
- Video Lecture 43: Even and Odd Extensions