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University Course

Engineering Physics (EP) 548

Engineering analysis II

University of Wisconsin, Madison

Spring 2017

My Class Notes

Spring 2017 Compiled on December 30, 2019 at 10:53pm [public]

1 Introduction

1.1 links

1.2 syllabus

2 Resources

2.1 Review of ODE’s

2.2 Sturm Liouville

2.3 Wave equation

3 HWs

3.1 HW1

3.2 HW2

3.3 HW3

3.4 HW4

3.5 HW5

3.6 HW6

4 Study notes

4.1 question asked 2/7/2017

4.2 note on Airy added 1/31/2017

4.3 note p1 added 2/3/2017

4.4 note added 1/31/2017

4.5 note p3 ﬁgure 3.4 in text (page 92) reproduced in color

4.6 note p4 added 2/15/17 animations of the solutions to ODE from lecture 2/9/17 for small parameter

4.7 note p5 added 2/15/17 animation ﬁgure 9.5 in text page 434

4.8 note p7 added 2/15/17, boundary layer problem solved in details

4.9 note p9. added 2/24/17, asking question about problem in book

4.10 note p11. added 3/7/17, Showing that scaling for normalization is same for any \(n\)

4.11 note p12. added 3/8/17, comparing exact solution to WKB solution using Mathematica

4.12 Convert ODE to Liouville form

4.13 note p13. added 3/15/17, solving \(\epsilon ^2 y''(x)=(a+x+x^2)y(x)\) in Maple

5 Exams

5.1 Exam 1

5.2 Exam 2

1.1 links

1.2 syllabus

2 Resources

2.1 Review of ODE’s

2.2 Sturm Liouville

2.3 Wave equation

3 HWs

3.1 HW1

3.2 HW2

3.3 HW3

3.4 HW4

3.5 HW5

3.6 HW6

4 Study notes

4.1 question asked 2/7/2017

4.2 note on Airy added 1/31/2017

4.3 note p1 added 2/3/2017

4.4 note added 1/31/2017

4.5 note p3 ﬁgure 3.4 in text (page 92) reproduced in color

4.6 note p4 added 2/15/17 animations of the solutions to ODE from lecture 2/9/17 for small parameter

4.7 note p5 added 2/15/17 animation ﬁgure 9.5 in text page 434

4.8 note p7 added 2/15/17, boundary layer problem solved in details

4.9 note p9. added 2/24/17, asking question about problem in book

4.10 note p11. added 3/7/17, Showing that scaling for normalization is same for any \(n\)

4.11 note p12. added 3/8/17, comparing exact solution to WKB solution using Mathematica

4.12 Convert ODE to Liouville form

4.13 note p13. added 3/15/17, solving \(\epsilon ^2 y''(x)=(a+x+x^2)y(x)\) in Maple

5 Exams

5.1 Exam 1

5.2 Exam 2