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 314Many 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 studyThere 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 |