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Math 383: Linear Algebra and Differential Equations
Syllabus (PDF)

Many of you have said the book is not yet available so this is the first sections scanned in: Section 1.1 and 1.2 (PDF)

Lecture 1 (01/09): (1.1-1.2) Introduction, falling object example

Lecture 2 (01/11): (1.1-1.2) Falling object example and field mice example
HW 1 DUE: 01/18 (before class!)

Lecture 3 (01/13): (1.1-1.3) Finished field mice example and classification of differential equations

Lecture 4 (01/18): (1.3-2.1) Method of Integrating Factors
HW 2 DUE: 01/25 (before class!)

Lecture 5 (01/20): (2.2) Separable Equations

Lecture 6 (01/23): (2.3) Modeling with First Order Equations

Lecture 7 (01/25): (2.4) Differences between linear and nonlinear 1st order ODEs
HW 3 DUE: 02/01 (before class!)

Lecture 8 (01/27): (2.4/2.5) Autonomous Equations and Population Dynamics

Lecture 9 (01/30): (2.5) Autonomous Equations and Population Dynamics

Lecture 10 (2/1): (2.6) Exact Equations and Integrating Factors
HW 4 DUE: 02/08 (before class!)

Lecture 11 (2/3): (2.9) Difference Equations

Lecture 12 (2/8): Review and HW problems

Lecture 13 (2/10): (2.7 + more) Numerical Methods for ODEs

Lecture 14 (2/13): Test 1 (Chapter 1, Chapter 2: Sections 1-6 and 9)

Lecture 15 (2/15): (2.7 + more) Numerical Methods for ODEs
Matlab Files for Numerical ODE Solver:
Solver
Forward Euler
Runge Kutta 2
Runge Kutta 4
HW 5 DUE: 02/22 (before class!)

Lecture 16 (2/17): (2.7 + more and 3.1) Finished Numerical Methods and started Second Order Linear ODEs

Lecture 17 (2/20): (3.1) Second order Linear ODEs: Homogeneous Equations with Constant Coefficients

Lecture 18 (2/22): (3.2 and intro to 3.3) Complex Roots of the Characteristic Equation and Solutions of Linear Homogeneous Equations (including the Wronskian)
HW 6 DUE: 02/29 (before class!)

Lecture 19 (2/24): (3.2) Solutions of Linear Homogeneous Equations (including the Wronskian)

Lecture 20 (2/27): (3.2 and 3.3) Review and Abel's Theorem and Complex Roots of the Characteristic Equation

Lecture 21 (2/29): (3.3 and 3.4) Complex and Repeated Roots of the Characteristic Equation
HW 7 DUE: 03/14 (before class!)

Lecture 22 (3/2): (3.4 and 3.5) Repeated Roots of the Characteristic Equation and Nonhomogenous Equations

Lecture 23 (3/12): (3.5) Nonhomogeneous Equations and Method of Undetermined Coefficients

Lecture 24 (3/14): (3.5) Nonhomogeneous Equations and Method of Undetermined Coefficients
HW 8 DUE: 03/21 (before class!)

Lecture 25 (3/16): (3.6) Variation of Parameters

Lecture 26 (3/19): (3.7) Mechanical Vibrations

Lecture 27 (3/21): (3.7) Mechanical Vibrations
HW 9 DUE: 03/28 (before class!)

Lecture 28 (3/23): Test 2: Covering 2.7 + extra numerical material and 3.1 - 3.6

Lecture 29 (3/26): (3.7 and 3.8) Mechanical Vibrations + Forcing

Lecture 30 (3/28): (3.8 and 4.1) Mechanical Vibrations with Forcing and nth Order Linear Equations
HW 10 DUE: 04/04 (before class!)

Lecture 31 (3/30): (4.1 + more) Nth Order Linear Equations and some linear algebra (determinants and systems)

Lecture 32 (4/02): (4.1) Nth Order Linear Equations

Lecture 33 (4/04): (4.2) Nth Order Homogeneous Linear Equations with Constant Coefficients
HW 11 DUE: 04/11 (before class!)

Lecture 34 (4/09): (4.3 and 4.4) Nth Order Linear Equations: Method of Undetermined Coefficients and Method of Variation of Parameters

Lecture 35 (4/11): (5.1 and 5.2) Introduction to Systems of Equations and Review of Matrices
HW 12 DUE: 04/18 (before class!)

Lecture 36 (4/13): (5.3) Systems of Equation, Linear Independence

Lecture 37 (4/16): (5.3) Eigenvalues and Eigenvectors

Lecture 38 (4/18): (5.4 and 5.5) Theory of Systems of First Order Equations and Homogeneous Linear Systems with Constant Coefficients
HW 13 DUE: 04/25 (before class!)

Matlab Help
Introduction and Plotting
Matlab Session: Thursday April 12, 2012 at 6:00 PM in Phillips 228
Introduction handout from the session