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Math 383: First Course in Differential Equations

Section 006 (TR 8:00-9:15 AM): Syllabus (PDF)
Section 003 (TR 9:30-10:45 AM): Syllabus (PDF)

Problem Sessions: Mondays from 5:00 PM - 6:00 PM in Phillips 367
Office Hours: Tuesdays from 11:00 AM - 12:00 PM and Thursdays from 5:00 - 6:00 PM in Phillips 314

Many of you have said the book is not yet available so these are the first sections scanned in:
Sections 1.1 - 2.2 (PDF)
Section 2.3 (PDF)
Sections 2.4 - 2.5 (PDF)

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

Lecture 2 (01/15): (1.1-1.2) Falling object example, radioactive decay case study
There will be no office hours this week.
HW 1 DUE: 01/22 (before class!)
Examples of syntax for the difference field applet
Radioactive Decay Case Study
Radioactive Decay Case Study - Solutions

Lecture 3 (01/17): (1.3-2.1) Classification of DEs and method of integrating factors

Lecture 4 (01/21): (2.1-2.2) Quiz and method of integrating factors and separation of variables
There will be no office hours Thursday from 5-6pm this week.
HW 2 DUE: 01/28 (before class!)


Lecture 5 (01/23): (2.3) Mathematical modeling examples
Solving the equation from Example 1 in Section 2.3
Integral from Example 3 in Section 2.3

Lecture 6 (01/28): (2.4) Differences between linear and nonlinear equations (existence and uniqueness)
Office hours on Tuesday this week only will be from 11:45 AM - 12:45 PM.
Also, there will be no office hours Thursday from 5-6pm this week.
HW 3 DUE: 02/04 (before class!) - MODIFIED DUE TO CANCELLATION OF CLASS

Lecture 7 (01/30): Homework problem section (Section 006 was cancelled)

Lecture 8 (02/04) (2.5) Autonomous equations and population dynamics
There will be no problem session this week (Monday, February 10).
Population Dynamics: Critical Threshold Model
Population Dynamics: Critical Threshold Model - Solutions
Practice Problems for Section 2.5 are given in HW 3
Install Matlab by next Thursday - Feb 13, you can get the software from UNC software acquisition

Lecture 9 (02/06): (2.6) Exact Equations and Integrating Factors
Exact Equations Group Work - Solutions

Lecture 10 (02/11): Test 1 - covers all material in Chapters 1 and 2.1-2.5
Review Session: Thursday, February 6th from 5:30 PM - 6:30 PM in Phillips 367
Graded HW 3 can be picked up from Travis McElroy in Phillips 410 on Monday February 10 from 10-1 and 2-4
HW 4 DUE: Tuesday 02/18 (before class!)


Lecture 11 (02/13): Class cancelled due to inclement weather

Lecture 12 (02/18): (2.6 and 7.2) Exact Equations and Integrating Factors and Review of Matrices
There will be no problem session or office hours this week.
HW 5 DUE: Tuesday 02/25 (before class!)
Solution of 7.2 assignment from class

Lecture 13 (02/20): (7.3 and 3.1) Systems of Equations, Linear Independence, and Introduction to 2nd order ODEs

Lecture 14 (02/25): (3.1-3.2) Introduction to second order ODEs and homogeneous equations with constant coefficients
There will be no problem session this week (Monday, February 24) and no office hours on Tuesday, February 25.
HW 6 DUE: Tuesday 03/04 (before class!)

Lecture 15 (02/27): Going over test 1 and review of 2/18 - 2/25
Review Worksheet (Part of HW6)
Review Worksheet Solutions

Lecture 16 (03/04): Class cancelled due to inclement weather

Lecture 17 (03/06): (3.2) Linear homogeneous equations and the Wronskian
HW 7 DUE: Thursday 03/20 (before class!)
Proof of Theorem at end of Class


Lecture 18 (03/18): (3.2 + more) Linear homogeneous equations and the Wronskian
Abel's Theorem Example
Summary of 3.2

Lecture 19 (03/20): (3.3-3.4) Homogeneous equations with constant coefficients: complex roots and repeated roots
HW 8 DUE: Tuesday 04/01 (before class!)


Lecture 20 (03/25): Test 2 - covers all material covered from Sections 2.6, 7.2-7.3, and 3.1-3.2+more


Lecture 21 (03/27): (3.4-3.5) Homogeneous equations with constant coefficients: repeated roots and reduction of order
and Nonhomogenous equations: Method of undetermined coefficients

Lecture 22 (04/01):(3.5) Nonhomogenous equations: Method of undetermined coefficients
HW 9 DUE: 04/08 (before class!)
Method of Undetermined Coefficients: Examples

Lecture 23 (04/03): (3.6-3.7) Nonhomogenous equations: Variation of parameters and Mechanical vibrations

Lecture 24 (04/08): (3.7) Mechanical vibrations
HW 10 DUE: 04/15 (before class!) - Note that this homework has been modified as stated in class on Thursday.

Lecture 25 (04/10): (4.1-4.2) Higher order linear equations and homogenous equations with constant coefficients
Determinant Example

Lecture 26 (04/15): (4.3-4.4) Nonhomogenous Equations: Method of Undetermined Coefficients and Variation of Parameters
HW 11 DUE: 04/22 (before class!)
Method of Undetermined Coefficients Example

Lecture 27 (04/17): (7.1 and 7.3) Introduction to systems of ODEs and eigenvalues and eigenvectors

Lecture 28 (04/22): (7.4-7.5) Theory of systems of first order equations and homogeneous linear systems with constant coefficients
Practice Problems Does not need to be turned in

Lecture 29 (04/24): Examples from 7.5

Final Exams
Section 006 : Tuesday, April 29, 2014 8:00 AM - 11:00 AM - cumulative exam up to and including 7.5
Section 003 : Friday, May 2, 2014 8:00 - 11:00 AM - cumulative exam up to and including 7.5
Review Session I: Monday, April 28, 5:00 PM - 6:00 PM
Review Session II: Thursday, May 1, 5:00 - 6:00 PM

Matlab Help
Introduction and Plotting
Matlab Session:
Introduction handout from the session