Welcome to the Webpage of Edward Burkard

Course Webpage for Math 307 - Differential Equations - Spring 2017

Important Information

  • Lecture Time and Location: TR 15:00-16:30 in Copley 200
  • Office Hours:
    • MWF 15:00-16:00
    • TR 10:30-11:30
    in Copley 234, or by appointment
  • E-mail: edwardburkard@rmc.edu
  • Course Syllabus

Handouts and Other Stuff

  • Homework Solutions
  • Link to the course page for a Calculus II course I taught in Spring 2015 at Notre Dame. You can find a complete set of lecture notes here, among other things.
  • Here is the Mathematica reference page where you can look up the function of various commands in Mathematica.
  • Notebook containing the types of things we talked about in class on February 9th.
  • Here is a Mathematica notebook which contains commands to run the numerical methods of Euler's Method, Improved Euler's Method, and Runge-Kutta as well as generate graphs of the approximate solutions.
  • Here is a Mathematica notebook which contains pictures of the various types of undamped harmonic motion.
  • Here is a Mathematica notebook which contains pictures of the varios types of damped harmonic motion as well as phase portraits of undamped and damped motion for springs and pendulums.
  • Here is a Mathematica notebook which contains a demonstration of how Fourier series converge to a square wave and Gibbs' Phenomenon.

Lecture Progress

Starred problems are the ones to turn in. Homework for February 7th comes from my book here: ODE Book Prototype.
Date Sections Covered Homework Quiz/Exam Solutions
Feb 7 Introduction, Calculus Review 0.2 # 1, 2, 3, 9
0.3 # 3, 5, 7, 8*, 10
0.6 # 1, 2, 4*, 5, 6, 7*		 N/A
Feb 9 1.2, 1.3 Read Section 1.1
1.2 # 1, 2aeg, 3aei, 4*bdi, 5a, 6a, 7
1.3 # 1*, 6, 7, 13*, 18, 20
(Print out the direction field in #1 and draw on that.
Draw the direction field in #13 with Mathematica and
print out the code and picture.)		 Quiz 1
Feb 14 2.2, 2.4 2.2 # 1, 4, 8, 12, 17*, 19, 26
2.4 # 17, 19*, 21, 24, 28, 33		 N/A
Feb 16 2.1, 2.4 2.1 # 6, 9, 16*, 10, 23, 37, 39, 48a
2.4 # 1, 7*		 Quiz 2
Feb 21 2.5, 2.6 2.5 # 1, 2, 4, 9*, 12, 13, 18, 21, 32
2.6 # 3, 4, 6, 11*, 20, 26		 N/A
Feb 23 2.3 2.3 # 1*, 2, 3, 17, 18, 19, 20
Handout # 4, 5*, 7		 Quiz 3
Feb 28 2.3, 3.1, 3.2, 3.3 3.1 # 14, 15*
3.2 # 14, 15*
3.3 # 14, 15*
In these exercises, don't bother with the similinear
methods, but do include graphs of the approximations.		 N/A
Mar 2 3.1, 3.2, 3.3, 4.5 4.5 # 25*, 26, 27, 28*, 32, 33, 34 Quiz 4
Mar 7 5.2 5.2 # 1*, 2, 3, 4, 5*, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17* Exam 1
Mar 9 5.1, 5.3 5.1 # 5ab*cd*, 6, 7, 8*, 9, 10, 13, 16, 28, 29, 33 Quiz 5
Mar 14 Cancelled N/A N/A
Mar 16 5.3, 5.4 5.3 # 1*, 2, 3, 4, 16*, 17, 33*, 34
5.4 # 1, 2, 3, 4, 15, 16, 20, 21*, 24, 25, 26, 30		 Quiz 6
Mar 21 5.5 5.5 # 2, 4, 5*, 6, 7, 11, 12, 22, 23*, 28, 29, 30, 31, 36, 37, 38 N/A
Mar 23 7.4, 5.6 7.4 # 1, 4, 7*, 10, 13, 16, 18, 20
5.6 # 1*, 2, 4, 5, 8, 9, 10, 17, 37, 38, 40		 Quiz 7
Apr 4 5.7 5.7 # 1*, 4, 7*, 8, 9, 11, 14, 19*, 23, 24, 30, 37 N/A
Apr 6 6.1 6.1 # 3*, 5, 6, 12, 13, 15*, 16, 17, 19, 20, 21 Quiz 8
Apr 11 6.2 6.2 # 8, 15, 16, 18, 20*, 21, 24, 25, 26 N/A
Apr 13 4.4, 6.3 4.4 # 21
6.3 # 1, 2, 6, 7		 Quiz 9
Apr 18 11.1 11.1 # 1, 2*, 3, 4, 5, 6*, 7, 8, 9, 10, 11, 17, 18, 19, 20, 21*, 22 Exam 2
Apr 20 11.1, 11.2 11.2 # 1, 2, 3* N/A
Apr 25 Handout Section 2 and 3 Homework is From Handout
Section 2 # 1-11, 15, 16*, 17, 21*, 25
Section 3 # 1, 2, 4, 11, 17* 		N/A
Apr 27 Handout Section 4 Handout Section 4 # 1-7, 9, 12*, 13*, 15, 16, 19, 21, 22, 23*, 31, 32, 33 Quiz 10
May 2 Handout Section 4 N/A N/A
May 4 12.1 12.1 # 8, 10, 13, 20, 43 (skip numerical stuff) Quiz 11
May 9 12.1* Schrodinger Handout # 1, 2 N/A
May 11 Review N/A N/A
May 19 FINAL N/A N/A