Elementary Differential Equations, MATH 240, Spring 2012

Instructor: Charles Moore                          
Office: CW 205  Office hours: Monday 10:30 am
Course information
Some practice exams    This includes both blank exams and solution keys from previous semesters when I have taught the course
Examinations: Semester examinations, Tuesdays, 7:15 -8:15 pm, February 7, March 6, April 10.   Final exam, Tuesday, May 8, 11:50 am to 1:40 pm.
Math Department exam archive- even more exams for practice                                              
Textbook
Exam solutions:   Exam1      Exam 2     Exam 3     Final exam   (these will appear after each exam)


  Exam room assignments:
Recitation instructor and time
Exam rooms
final exam rooms
Zheng Hao, 7:30 am, 12:30 pm
S 063
W 114
Dilum DeSilva, 8:30 am, 11:30 am
S 063
W 114
Xiaojing Zhang,  9:30 am, 10:30 am
  WB 123
CW 101
Dr. Santosh Ghimire, 1:30 pm
 WB 123
CW 101
Todd Moore, 3:30 pm
WB 123
CW 101

Schedule

Week of:


Due this week:             (Due dates and times in parentheses)
January 16
(Classes begin
Jan. 17)   
Tues. Jan. 17. Lab: introduction to the course
Wed. Jan. 18. Lecture: Introduction, Separable equations, Initial value problems
Thurs. Jan. 19.  Recitation:  discuss homework
Homework 1, #5, 6, 10, 12, 14, 16   (Fri. Jan. 20, 5 pm)         
On-line assign. - Separable eqns. (Sat. Jan. 21, midnight)                                   
January 23
Mon. Jan. 23. Lecture: Exact equations
Tues. Jan. 24. Lab: Geometric interpretation,
  Slope Fields Lab Applet
Wed. Jan. 25. Lecture: Linear equations
Thurs. Jan. 26. Recitation: discuss homework
Homework 2, #1, 4, 5, 8, 12, 20    (Fri. Jan. 27, 5 pm)
On-line assign. - Exact eqns. (Sat. Jan. 28, midnight)
On-line assign. - Linear eqns. (Sat. Jan. 28, midnight)

January 30
Mon. Jan. 30.  Lecture: Change of variables
Tues. Jan. 31.  Lab: Numerical methods lab
Wed. Feb. 1. Lecture: Picking a technique; theory of 1st order eqns.
Thurs. Feb. 2. Recitation: discuss homework
Geometric interpretation lab, #1-8 (Tues. Jan. 31, 5 pm)
Homework 3, #2, 4, 6, 8, 10, 12  (Fri. Feb. 3, 5 pm)
On-line assign.  - Bernoulli eqns. (Sat. Feb. 4, midnight)
On-line assign.- Homogeneous eqns. (Sat. Feb. 4, midnight)
February 6
Mon. Feb. 6. Lecture: Review for exam 1
Tues. Feb. 7. Lab: Review for exam 1
Exam 1, Tuesday, February 7, 7:15 p.m. - 8:15 p.m
Wed. Feb. 8. Lecture: Long-term behavior of solutions
Thurs. Feb. 9. Recitation: return and discuss exam 1
Numerical methods lab, #2, 3, 8, 9, 14, 15 (Tues. Feb. 7, 5 pm)

February 13

Mon. Feb. 13. Lecture: Population models
Tues. Feb. 14. Lab:
Autonomous equations lab
Wed. Feb. 15.  Lecture:  Complex variables, Geometry of complex numbers
Thurs. Feb.16. Recitation: discuss homework
Homework 3, #13, 14, 15, 16, 17, 18, 19, 20 (Fri. Feb. 17, 5 pm)
On-line assign.- Autonomous eqns, (Sat. Feb. 18, midnight)
On-line assign. - Complex arithmetic (Sat. Feb.18, midnight)
February 20
Mon. Feb. 20. Lecture: Theory of linear equations
Tues. Feb. 21. Lab: Complex graphs lab
Wed. Feb. 22. Lecture: Homogeneous equations
Thurs Feb. 23. Recitation:  discuss homework
Autonomous equations lab (Tues. Feb. 21, 5 pm)
Homework 4, #2, 4, 8, 12, 21, 22, 23 (Fri. Feb. 24, 5 pm)
On-line assign. - Complex variables  (Sat. Feb. 25, midnight)
February 27
Mon. Feb. 27. Lecture:  Inhomogeneous equations
Tues. Feb. 28. Lab: Numerical methods for higher-order eqns.
Wed. Feb. 29. Lecture: Free motion
Thurs. Mar. 1. Recitation: discuss homework
Complex graphs lab, #1-7 (Tues. Feb. 28, 5 pm.)
Homework 5, #2, 8, 14, 17, 18, 20, 22 (Fri. Mar. 2, 5 pm)
On-line assign - 2nd ord. homogen. eqns.(Sat. Mar. 3, midnight)
On-line assign.- 2nd ord. inhomogen. eqns.(Sat. Mar 3, midnight)
March 5
Mon. Mar. 5. Lecture:  Review for exam 2
Tues. Mar. 6. Lab: Review for exam 2
Exam 2, Tuesday, March 6 , 7:15 p.m. - 8:15 p.m.
Wed. Mar. 7. Lecture: Forced motion
Thurs. Mar. 8. Recitation: return and discuss exam 2
Numerical methods for higher-order equations lab, #1-6  (Tues. Mar. 6, 5 pm)
On-line assign. - Mass-spring systems (Sat. Mar. 10, midnight)
March 12
Mon. Mar. 12. Lecture: Variation of parameters
Tues. Mar. 13. Lab: Free and forced motion lab
Wed. Mar. 14. Lecture: Laplace transforms,   Solving diff. eqns. with Laplace transforms
Thurs. Mar. 15. Recitation:  discuss homework
Homework 6, #2, 6, 12, 14, 20, 22  (Fri. Mar. 16, 5 pm)
On-line assign. - Laplace transforms (Sat. Mar. 17, midnight)
On-line assign. - Inverse L.T.'s (Sat. Mar. 17, midnight)
March 19
Spring Break

March 26
Mon. Mar. 26. Lecture: Impulse functionsConvolutions
Tues. Mar. 27. Lab: Stability lab   Instructions
Wed. Mar. 28. Lecture: Systems of eqns., Non-linear systems
Thurs. Mar 29. Recitation: discuss homework
Free and forced motion lab, #1-6 (Tues. Mar. 27, 5 pm)
Homework 7, #2, 4, 6, 16, 18, 19 (Fri. Mar. 30, 5 pm)
On-line assign. - Impulse fcns. (Sat. Mar. 31, midnight)
April 2
Mon. Apr. 2  Lecture:  Geometric methods for 2-dim. systems
Tues. Apr. 3. Lab:  Systems lab,   Instructions
Wed. Apr. 4. Lecture: Power series, Series solutions
Thurs. Apr. 5. Recitation: discuss homework
Stability lab, #2-7 (Tues. Apr. 3, 5 pm)
Homework 8, #2, 4, 6, 10, 11, 12 (Fri. Apr. 6, 5 pm)
On-line assign. - First order linear systems (Sat. Apr. 7, midnight)
On-line assign. - Series solutions (Sat. Apr. 7, midnight)
April  9
Mon. Apr. 9. Lecture:  Review for exam 3
Tues. Apr.10. Lab: Review for exam 3
Exam 3, Tuesday, April 10, 7:15 p.m. - 8:15 p.m.
Wed. Apr. 11. Lecture: Radius of convergence
Thurs. Apr. 12. Recitation:  return and discuss exam 3
Systems lab, #2, 3, 4 (Tues. Apr. 10, 5 pm)
On-line assign. - Radius of convergence (Sat. Apr. 14, midnight)
April 16
Mon. Apr. 16. Lecture: Euler equations
Tues. Apr. 17. Lab: Radius of convergence lab,  Instructions
Wed. Apr. 18. Lecture: Regular singular points,  Series solutions about regular singular points,
Convergence of series solutions about regular singular points
Thurs. Apr. 19. Recitation:  discuss homework
Homework 9 , #2, 4, 8, 14, 15, 16, 17 (Fri. Apr. 20, 5 pm)
On-line assign. - Euler equations. (Sat. Apr. 21, midnight)

April 23
Mon. Apr. 23. Lecture: Where do variable coefficient problems come from?
Tues. Apr. 24. Lab: Boundary value probsBoundary values applet
Wed. Apr. 25. Lecture: Separation of variables,
  Boundary value problems
Thurs. Apr. 26. Recitation: discuss homework
Radius of convergence lab, #1-5 (Tues. Apr. 24, 5 pm)
Homework 10, #2, 8, 10, 14, 16, 26, 28, 29, 32 (Fri. Apr. 27, 5 pm)

April 30
Mon. Apr. 30. Lecture: review
Tues. May 1. Lab: review
Wed. May 2. Lecture: review
Thurs. May 3. Recitation: review
Boundary value problems lab (Tues. May 1, 5 pm)



Final Exam, Tuesday, May 8, 11:50 a.m. - 1:40 p.m.