Dr. YAHDI:     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

Summary of some Calculus I Formulas

Logistic Population

Overview of Chapter1

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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

Separable Equations

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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

Integrating Factor for Linear Equations

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

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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

Existence & Uniqueness

DE Tools: EulersMethod, PahseLines & HPGsolver

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Th

1.6

Class postponed

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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 | 4

Animations: Bifurcation: Fa by graph

DE-Tools: Bifurcation

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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

Solution curve & its solutions,

Phase Portrait/Solution curves vs. graphs of the solution

Qualitative Analysis: Examples

4 models with phase portraits

Match Field directions to SDE.

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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, 

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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

Uniqueness for autonomous Sys. 
Qualitative Analysis: Examples

. 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

Introduction and Vectors

See DE tools: Matrix Fields/ Linear Phase Portraits

Straight-Line Sol. Summary of 3.1,3.2&3.3

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,

Real Eigenvalues 

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

Repeated Eigenvalues  & Zero Eigenvalues

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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)

Repeated Eigenvalues  & Zero Eigenvalues

second-order linear equation

Use DE Tools: Linear Phase Portraits & TD plane 

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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

TD-plane Summary and Animation of Damping

Use DE Tools: Linear Phase Portraits & TD plane 

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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

Examples

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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

Examples

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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

Examples

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

Table of Laplace Transforms
Laplace biography 
Partial Fraction

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



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