MATH 20D: Introduction to Differential Equations, Lecture A00
Spring quarter, 2013

Syllabus

Days/Dates Lectures Sections Topics Covered
Monday 4/1 1 1.1 - 1.3   Intro: Math Modeling with ODE, Classification of ODE and PDE
Wed. 4/3 2 2.1   Linear Equations; Method of Integrating Factors
Friday 4/5 3 2.2   Separable Equations
Monday 4/8 4 2.3, 2.4   Modeling with First Order Eqns; Differences between Linear & Nonlinear Eqns
Wed. 4/10 5 2.5   Autonomous Equations and Population Dynamics
Friday 4/12 6 2.6   Exact Equations and Integrating Factors
Monday 4/15 7 3.1   Second Order Linear Eqns: Fundamental Solutions of Linear Homogeneous Eqns
Wed. 4/17 8 3.2   Linear Independence and the Wronskian
Friday 4/19 9 3.3   Complex Roots of the Characteristic Equation
Monday 4/22 10 3.4   Repeated Roots; Reduction of Order
Wed. 4/24 11 3.5   Nonhomogeneous Equations; Method of Undetermined Coefficients
Friday 4/26   Midterm Exam 1.     Cover: 1.1 - 1.3, 2.1 - 2.6, 3.1 - 3.5
Monday 4/29 12 3.6   Variation of Parameters
Wed. 5/1 13 5.1   Review of Power Series
Friday 5/3 14 5.2, 5.3   Series Solutions Near an Ordinary Point
Monday 5/6 15 6.1   Definition of Laplace Transform
Wed. 5/8 16 6.2   Solution of Initial Value Problems
Friday 5/10 17 6.3, 6.4   Step Function; Differential Eqns with Discont. Forcing Functions
Monday 5/13 18 6.5   Impulse Functions
Wed. 5/15 19 7.1, 7.2   Systems of First Order Linear Eqns: Intro, Review of Matrices
Friday 5/17 20 7.3   Linear Algebraic Eqns; Linear Independence, Eigenvalues, Eigenvectors
Monday 5/20 21 7.4   Basic Theory of Systems of First Order Linear Equns
Wed. 5/22 22 7.5   Homogeneous Linear Systems with Constant Coefficients
Friday 5/24   Midterm Exam 2.     Cover: 3.5, 3.6, 5.1 - 5.3, 6.1 - 6.5, 7.1 - 7.5
Monday 5/27   Memorial Day Holiday
Wed. 5/29 23 7.6   Complex Eigenvalues
Friday 5/31 24 7.7   Fundamental Matrices
Monday 6/3 25 7.8   Repeated Eigenvalues
Wed. 6/5 26 7.9   Nonhomogeneous Linear Systems
Friday 6/7   Review for Final Exam.
  Final Exam (cumulative): 11:30 am - 2:29 pm, Friday, 6/14. Place: to be announced .

Last updated by Bo Li on March 25, 2013.