MATHEMATICS 252:01 -- SYLLABUS

Inst: B. Walsh --- Hill Center 728 (Busch) --- (732) 445-3733

This syllabus is subject to change. A current version will always be available from the Section Home Page.

IMPORTANT: the list of problems is adjusted throughout the semester. You are responsible for all assigned problems; quizzes will be based on these assigned problems. Make sure that you understand the solutions to all of them!

There will be Additional notes on the following subjects:

• N1 = modeling;
• N2 = bifurcations;
• N3 = phase plane analysis;
• N4 = matrix exponentials.

Some of these notes contain homework problems, which are indicated as "N1", etc, in the syllabus. These are also available from the main 252 web site. To visit it (with notes, applets, and all sorts of good stuff) click here: Math 252 WebPage.

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 Date Sections Subjects Assignments Notes 1 Jan 20 1.1, N1 Modeling 1.1:1,3,5,9 (read 8 before you try 9). [N1: All (answers). These are optional for 252:01.] - 2 Jan 24 1.2 Separation of Vars 1.2:1,3,7,13,25,29,31,35 - 3 Jan 27 1.3 Slope Fields 1.3:1,3,7,9,11,13,15,17 a 4 Jan 31 1.4,1.5,1.6 Euler; Existence, Equilibria, Phase Line 1.4:1,11,13  1.5:1,3,10  1.6:1,3,5,7,9,11,17,19,21,25,31,35 b 5 Feb 3 1.7, N2 Bifurcations 1.7: 1,3,5,7,17,19 c 6 Feb 7 - Catch-up - - 7 Feb 10 1.8 Linear Differential Equations 1.8: 1,3,5,7,9,11,13,23 - 8 Feb 14 2.1 Systems 2.1: 1,2,7,8,9,17,19,21,23,25,26,27,29 d 9 Feb 17 2.2 Geometry of Systems 2.2: 1,3,5,7,9,11,13,15,17,21,23,25,27,29 a 10 Feb 21 2.3 Analytic Methods 2.3: 1,3,5,7,9,11,19 e 11 Feb 24 2.4 Euler's Method 2.4: 1,3,5,14,15 - 12 Feb 28 3.1 Linear Systems 3.1: 1,3,5,7,9,13,17,19,21,27,29,33,35 f 13 Mar 2 3.2 Straight-Line Solutions 3.2: all odd 1-19 - 14 Mar 6 Exam 1 to be announced - - 15 Mar 9 N4 Matrix Exponentials All problems in N4. - 16 Mar 20 3.3, N3 Phase Plane: Real 3.3: all odd 1-15. N3: All (answers). - 17 Mar 23 3.4, N3 Phase plane: Complex 3.4: all odd 1-15,19,21,23 - 18 Mar 27 3.5,3.7 Repeated & Zero Eigens; Bifurcations 3.5: all odd 1-17  3.7: parts "c" of: 3,7,11,13 g 19 Mar 30 3.6 Second-Order Linear 3.6: all odd 1-17,22(a,b) h 20 Apr 3 4.1,4.2 Forced Harmonic Osc; Sinusoidal Forcing 4.1: 1,3,7,11,17,19,23,25,29,31,35,37,39  4.2: odd 1-13,16-19,23 - 21 Apr 6 4.4 Steady State 4.4: see note i below i 22 Apr 10 4.3 Resonance 4.3: all odd 1-13, all 15-18 - 23 Apr 13 - Slack; review for Exam 2 - - 24 Apr 17 Exam 2 to be announced - - 25 Apr 20 3.8 3- (and higher-)dimensional systems