Math310- Differential Equations  & math models – Spring 2014-   TuTh 1:30-2:45-   in PFA 012

Office: Pfahler 101F-  Phone: 610 409 3294  -  e-mail: myahdi@ursinus.edu

Office hours :TuWTh 9-10am. I don't mind at all iFyou just stop by, or, to be sure I am available, make an appointment in person, by phone, or by e-mail
Webpage:
webpages.ursinus.edu/myahdi

(At my Webpage you will find Fis homework assignments, syllabus and useful links.)

 Assigned Section Problems / Group Work / hand-outs Readings / Online links T-H-Quiz week 1: 01/20 -   Spring Semester Begins Tu Class cancelled Th 1.1 3,6, 11,13,14,15, 17,19 (Optional:7,9,10) All sections 1.1 & 1.2 . week 2: 01/27 Tu 1.1 1.2 1.1: #1,5,12a,21,23 1.2: #1,7,9,13,15,19,31,33,35,41 Optional 1.2: #40 Sections 1.1 & 1.2 . Th 1.2 1.9 1.8 1.2: #39, 42, example page 29 &31 1.9: #models for 25,27, examples page 129  1.8: #models for 29,31 Read mixing problems and saving models in 1.2, 1.9 & 1.8 1.1:#18,22 1.2:#16,32, 40 Due Tuesday week 3: 02/03 Tu 1.8 1.9 1.8: # 11,23,29,31 1.9: #3,5,7,11,13,19,25,27 Read all sections 1.8 & 1.9, and pages 131-132 on comparing methods . Th 1.3 1.4 sec1.3: hand-out, #1,5,7,9,11,13,15,Optional:19 sec1.4: #1,3,6,11,19, Optional:17 Slope Fields: Concept & Examples Numerical Technique Read  all Examples in sections 1.3 & 1.4 DE Tools: HPGsolver & EulerSolver THQ Due Tuesday 1.8: #30 1.9:#10, 26 1.3:#16 week 4: 02/10 Tu 1.4 1.5 sec1.4: #1,3,6,11,19, Optional:17 sec1.5: #1,3,5,7,9,13,15,17 DE Tools: EulersMethod, PahseLines & HPGsolver . Th 1.6 Class postponed . . week 5: 02/17 Th 1.6 sec1.6: #1,5,7,13,17,19,23,25,27,31,37,43 Equilibria & Phase Line THQ Due Thurssday: 1.4:#11 1.5:#4,14 1.6:#2,14,34 Tu 1.7 sec1.7: #1,3,5,7,11,15,17,21,23. Optional:13 Bifurcation-Animations: 1 | 2 | 3 | Animations: Bifurcation: Fa by graph DE-Tools: Bifurcation . week 6: 02/24 Tu Test 1 * Test 1 * Test 1 Tu 1.review 2.1 1.review 2.1: #1,2i,3i,4i,5i,7,9,11,15,17,19,21,23,25,29 Read all 2.1 and examples pages 157-160 DE Tools: HPGSystemSolver DE Tools: Harmonic Oscillator Group Project 1 due Tuesday of week 6: Select one and only one among LAB1.1, 1.2, 1.3 or 1.5 (pages 142-148). 2 to 4 students per report Th 2.3 2.2 2.3:# 1a,3a,7,9, Read  all 2.3 2.2:# 5acde,7cd,9,11,13,19,21,25 DE Tools: HPGSystemSolver DE Tools: Harmonic Oscillator . week 7 03/03 Tu 2.4 2.5 2.4: #1,7,9,11,13 2.5: #1,3,7 Uniqueness for autonomous Sys.  DE Tools: Method For Systems, Euler, . Th 2.6 2.7 2.8 2.6: #3,4,5(use initial point), 7, 9 2.8; Read all examples in 2.8 2.7:#2,3,7,9 .  THQ due on Tuesday 2.1:#12(ii), 28 2.2: #12 Spring break week 8: 03/17 Tu 3.1 3.2 3.3 3.1: #1,3,5,9,11,13,17,21,23,27,33 3.2: #1,3,5,11,13,21,23 3.2: eigenvectors See DE tools: Matrix Fields/ Linear Phase Portraits Lab#2 Due Thursday of week 9 (next week) LAB2.5  page236 Th 3.3 3.4 3.3:# 1,3,5,9,11,13,15,17,19,23,25 3.4:# 3,9,5,11,7,13,23, Complex Eigenvalues  Use DE Tools: Linear Phase Portraits THQ due this Thursday 2.4: #13abc 2.7:# 6bcd 3.3: #12,14,18 week 9: 03/24 Tu 3.4 3.5 3.4:# 3,9,5,11,7,13,23, 3.5:#1,5,3,7,11,17,19,21 Complex Eigenvalues  Use DE Tools: Linear Phase Portraits Use DE Tools: Linear Phase Portraits . Th 3.5 3.6 3.5:#1,5,3,7,11,17,19,21 3.6; #1,3,5,7,9,11,13,21, (Optional: 37,39) second-order linear equation Use DE Tools: Linear Phase Portraits  & TD plane . Test 2 on Week 10 week 10: 03/31 Tu 3.6 review 3.7:#3,5,7,11,13,  bifurcation Chapters 2 and 3 Use DE Tools: Linear Phase Portraits  & TD plane . Th 3.7 5.1 3.7:#3,5,7,11,13,  bifurcation 3.8:#1,5,3,7,11,17,19,21 Van der Pol  & Pendulum equations  Use DE tools: Competing Species, HPG System  Solver, Van der Pol week 11: 04/7 Tu 5.1 5.2 5.1: #1,3,7,9,15,23,27abcd 5.2:#1,3,7,13,17,21,22,23 Use DE tools: HPG Linearizer . Th 5.1 5.2 5.1: #1,3,7,9,15,23,27abcd 5.2:#1,3,7,13,17,21,22,23 Use DE tools: HPG Linearizer . week 12: 04/14 Tu 5.2 5.1: #1,3,7,9,15,23,27abcd 5.2:#1,3,7,13,17,21,22,23 Use DE tools: HPG Linearizer Quiz due Thursday April 17: 5.1: #8ab, 20 5.2:#6, 14 Th 6.1 6.2 Overview of Chapter Six  6.1: #3,9,11,13,15,19,23, Read all 6.1 6.2: #1,3,5,7,9,11,13,17,19, Read all 6.2 Laplace Example 2, Heaviside biography Project 3  Due by Thursday April 24 LAB 3.1 (page 381) week 13: 04/21 Tu 6.3 6.4 6.3 #2,5,7,11,13,15,17,27,29-33 6.4: #3,5,7,8,9 Read 6.4, 6.5, 6.6 Last Quiz due Tuesday April 29 6.1: #20 6.2:#12 6.3:#28,30 Thursday April 24: Celebration of Student Achievement Day – Math/CS Luncheon in PFA106 week 14: 04/28 Tu 6.5 6.6 6.5; #1,3,7,9 6.6: #1,3,5,7 Th Review Presentations of projects #4 Test 3: Sections 3.7, 5.1, 5.2, 6.1, 6.2, 6.3, 6.4 week 15: 05/5 Monday= Last Thursday : review Final Exam on Saturday May 4 at 9am in PFA 012