Math 302:  Ordinary Differential Equations

Fall 2015 Course Page

Instructor:  Dr. Richard Brown

Sections: 

TA-run section meetings

Section 1:  Shengwen Wang, Tuesdays at 1:30pm, Shaffer 304

Section 2:  Shengwen Wang, Tuesdays at 3:00pm, Maryland 110

Section 3:  Chenyang Su, Thursdays at 3:00pm, Olin 305

Section 4:  Chenyang Su, Thursdays at 4:30pm, Krieger 308

Section 5:  Dan Ginsberg, Tuesdays at 4:30pm, Maryland 217

Section 6:  Bowei Zhao, Thursdays at 1:30pm, Shaffer 304

Section 7:  Bowei Zhao, Thursdays at 3:00pm, Shaffer 100

Section 8:  Dan Ginsberg, Tuesdays at 3:00pm, Olin 305

Section 9:  Nicholas Mehrle, Thursdays at 3:00pm, Maryland 201

Text:

Elementary Differential Equations, 10th Edition Boyce, William E. and DiPrima, Richard C. New Jersey: Wiley, October 2012 ISBN-10: 0470458321 | ISBN-13: 978-0470458327

 

Course Syllabus and Homework Assignment Schedule

 

There are Java Applets that are quite useful in understanding the nature of Ordinary Differential Equations.  They can be found here: 

 

JAVA Applets for ODEs

Special Note for Java:  To use this app, do the following:  (1) install Java:  go to java.com/en and download and load. (2) configure Java:  find a way to get to the configuration window (In Windows7, it is under Java in the Programs section of the Start Button.)  Launch the Configuration window and go to Security.  Edit the Exception Site List.  Add the site:  http://math.jhu.edu/mathcourses/302/jode/.  Note, you must explicitly type in the "http://" prefix.  Click the okay buttons to save.  (3) Close your browser and restart it.  Navigate over to the JODE page again.  Special Note:  As of September 1, 2015, Chrome won't allow Java to run.  Oh well....  Use something else.

 

For now, pay attention to the Slope Field Calculators, particularly this framed version, which will load in a separate window.  I suggest you play with these applets.

 

FINAL Exam Information

    Wednesday, December 9, 2015 Exam times and places:

• Sections 1, 2, 3, 4, 9:  Bloomberg 272

• Sections 5, 6, 7, 8:  Mudd 26

Exam 2 Information

    Wednesday, December 3, 2015 Exam times and places:

• Sections 1, 2, 3, 4, 9:  12:00pm - 12:50pm, Bloomberg 272

• Sections 5, 8:  1:30pm - 2:20pm, Krieger 205

• Sections 6, 7:  1:30pm - 2:20pm, Remsen 1

Sections covered:  The last midterm covered up to Section 3.4.  For this midterm, Everything we covered since then, up to but not including the Laplace Transform stuff.

Exam 1 Information

    Monday, October 12, 2015 Exam times and places:

• Sections 1, 2, 3, 4, 9:  12:00pm - 12:50pm, Bloomberg 272

• Sections 5, 8:  1:30pm - 2:20pm, Krieger 205

• Sections 6, 7:  1:30pm - 2:20pm, Remsen 1

Documents of interest:

• Notes from class:

  • Upcoming Lecture:  Friday, November 20

• Previous Lectures:

  • Monday, August 31

  • Wednesday, September 2, Mathematica

  • Friday, September 4

  • Monday, September 7 (Labor Day:  no class)

  • Wednesday, September 9

  • Friday, September 11

  • Monday, September 14

  • Wednesday, September 16

  • Friday, September 18

  • Monday, September 21

  • Wednesday, September 23

  • Friday, September 25

  • Monday, September 28

  • Wednesday, September 30

  • Friday, October 2

  • Monday, October 5

  • Wednesday, October 7

  • Friday, October 9

  • Monday, October 12 (Midterm 1;  No notes)

  • Wednesday, October 14

  • Thursday, October 15

  • Monday, October 19

  • Wednesday, October 21

  • Friday, October 23

  • Monday, October 26

  • Wednesday, October 28

  • Friday, October 30

  • Monday, November 2

  • Wednesday, November 4

  • Friday, November 6

  • Monday, November 9

  • Wednesday, November 11

  • Friday, November 13

  • Monday, November 16

  • Wednesday, November 18

  • Friday, November 20

  • Monday, November 30

• My Teaching Philosophy -- This is not really a part of the course.  I thought I would give you a sense for what my motivations are for teaching.  This will give you a sense for who I am. 

• Homework Problem Sets:

  • Problem Set 1 (Due September 11):

    • Section 1.1: 4,6,12,15-20,26

    • Section 1.2: 3,12,16

    • Section 1.3: 1-6,8,12,18,20

    • Section 2.1: 12,14,20,24,28,30,36

  • Problem Set 2 (Due September 18):

    • Section 2.2: 2,6,14,22,30

    • Section 2.4: 2,6,8,9,16,22,23

  • Problem Set 3 (Due September 25):

    • Section 2.5:  2,3,11,12,13,14,16,17,22,27,28,Fish Problem

  • Problem Set 4 (Due October 2):

    • Section 2.6:  4,6,10,14,15,18

    • Section 3.1:  2,6,8,10,12,18,20,22

  • Problem Set 5 (Due October 9):

    • Section 3.2:  4,6,8,12,14,26,28,32

    • Section 3.3:  4,6,10,14,32

    • Section 3.4:  10,12,18,24,28

  • Problem Set 6 (Due October 15):

    • Section 3.5:  4,6,12,14,16,18,30

    • Section 3.6:  4,8,10,16,21,28,30

  • Problem Set 7 (Due October 23):

    • Section 4.1:  3,5,8,14,18,19

    • Section 4.2:  12,14,32

    • Section 4.3:  1,2, Resonance

    • Section 7.1:  2,3,6,8,15

  • Problem Set 8 (Due October 30):

    • Section 7.2:  2,10,22,24

    • Section 7.3:  2,7,8,16,17,18

    • Section 7.4:  4,6

    • Section 7.5:  1,4,8,15,16

  • Problem Set 9 (Due November 6):

    • Section 7.5:  24,25,26,27,29,31

    • Section 7.6:  2,6,10,13,28 (By Monday, you will be able to do this.  See lecture notes for 10/30)

  • Problem Set 10 (Due November 13)

    • Section 7.7:  3,4,6,7,12

    • Section 7.8:  3,9,15

    • Section 9.1:  1,4,6,7,17,18

  • Problem Set 11 (Due November 20)

    • Section 9.2:  5,7,17,23

    • Section 9.3:  1,3,11,20,27

    • Section 9.4:  3,17

    • Section 9.5:  2,11

  • Problem Set 12 (Due November 30)

    • Section 9.7:  2,4,9,16

    • Section 8.1:  1a,2a,3a.  Also, solve 1 and 3 and graph both the numerical and analytical solutions together.

• Example Problems:

  • Section 2.1:  Linear First-order ODE

  • Section 2.1:  Homework Problem 2.1.28

  • Section 2.2:  Separable First-order ODE

  • Section 2.2:  Homework Problem 2.2.30

  • Section 2.6:  Exact ODE

  • Section 2.2 and 2.6:  Separable AND Exact ODE

  • Section 2.6:  Another Exact ODE

  • Section 2.6:  Problem 2.6.16

  • Section 3.2:  Wronskian Example.

  • Section 3.6:  Problem 3.6.6

  • Section 3.6:  Problem 3.6.17

  • Section 4.4:  Problem 4.4.3

  • Section 9.3:  The Pendulum

  • Section 9.4:  Competing Species, a bifurcation analysis

• Lecture Questions (Clickers):

  • Wednesday, September 23

  • Friday, October 23

• Challenge Problem Sets:  These sets are nothing but extra problems that I find interesting and useful.  They are not to be considered homework or material I expect you to be able to do.  They are just extra stuff for those who would like to see extra stuff.

  • Challenge set 1:  Week 5: Sections 2.6, 2.8 and 3.1.

  • Challenge set 2:  Week 6: Sections 3.2, 3.3 and 3.4.

  • Challenge set 3:  Week 7: Sections 3.5 and 3.6.

  • Challenge set 4:  Week 8: Sections 4.1, 4.2, 4.3 and 4.4.

• Other documents of interest:

  • A short article from the Mathematical Association of America on good mathematics writing.  Read this!

  • Existence and Uniqueness for first-order ODEs worksheet.  It will pay to work through this!

  • A Mathematica notebook of a pitchfork bifurcation.

  • Something about the Wronskian:  Abel's Theorem.

  • Fish Problem Solution.

  • Resonance Solution.

Notes after the lecture:

This page will be updated regularly when new information about the course arises.  General information about course structure, requirements, as well as specific information related to your lecture or section, will be posted here and updated as needed. 
 

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