• 3/16
  • Topic: Review and bad jokes and puns.
  • Class Notes for the day.
  • Prepare For: The final exam. Find your old exams and look at them. Here is some information about the final and my office hours finals week.
• 3/14
  • Topic: Miscellaneous - no notes saved because of a technical problem.
  • Prepare For: The final exam. Find your old exams and look at them. Here is some information about the final.
• 3/13
  • Exam 3
• 3/12
  • Topic: Review, Laplace transform intro.
  • Class Notes for the day.
  • Prepare For: Exam 3 on Tuesday, March 13th.
  • Assignment 19 Solutions   Assignment 20 Solutions
  • Exam Prep Exercises: 1.7: 5, 6   5.3: 1 - 5   4.2: 1 - 4   5.1: all   5.2: 1, 2, 3, 4a, 5, 6a
• 3/9
  • Topic: More buckling of slender columns, more reduction of order.
  • Class Notes for the day.
  • Class Exercises
  • Prepare For: Exam 3 on Tuesday, March 13th.
  • Exam Prep Exercises: 1.7: 5, 6   5.3: 1 - 5   4.2: 1 - 4   5.1: all   5.2: 1, 2, 3, 4a, 5, 6a
• 3/7
  • Topic: More buckling of slender columns.
  • Class Notes for the day.
  • Read: Section 5.3 Starting at Deflection of Vertical Columns (page 153).
  • Turn In: 5.3: 3, 4   Show the boundary value problem, then solve as asked..
  • Suggested: If you did poorly on the quiz, go back and do 1.7: 5 and 5.2: 5, 3, looking at the relevant examples if you need help.
• 3/6
  • Topic: Buckling of slender columns.
  • Class Notes for the day.
  • Read: Section 5.3 Starting at Deflection of Vertical Columns (page 153).
  • Turn In: 5.3: 2   Show the boundary value problem, then solve as asked..
• 3/5
  • Topic: Eigenfunction problems.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 5.3 only up to Deflection of Vertical Columns.
  • Turn In: 5.3: 1a,b,c   Show work!.
• 3/2
  • Topic: Eigenfunction problems.
  • Class Notes for the day.
  • Read: Section 5.3 only up to Deflection of Vertical Columns.
  • Suggested: 1.7: 5,   5.2: 5, 3 in that order
  • Turn In: 5.3: 1a,b,c   Show work!.
  • Prepare For: Quiz Monday on the suggested exercises listed above.
• 2/28
  • Topic: Eigenfunctions and eigenvalues.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 5.2.
  • Suggested: 1.7: 5,   5.2: 5, 3 in that order
  • Turn In: 4.2: 1a,b and the BVP on the last page of these class notes. due Friday.
• 2/27
  • Topic: Cramer's Rule and miscellaneous.
  • Class Notes for the day.
  • Read: Pages 111 and 112 of this.
  • Suggested: 1.7: 6 all
  • Turn In: 5.1: 5 and 2.3: 4a using an integrating factor, 8 as described due Wednesday
  • Turn In: 4.2: 1a,b and the BVP on the last page of the class notes. due Friday.
• 2/26
  • Topic: Horizontal beams and fourth-order boundary value problems, integrating factor review.
  • Class Notes for the day.
  • Read: Section 5.1
  • Suggested: Section 5.1:
  • Turn In: 5.1: 5 and 2.3: 4a using an integrating factor, 8 as described
• 2/23
  • Topic: Reduction of order, fourth-order boundary value problems.
  • Class Notes for the day.
  • Read: Section 4.2 and Section 5.1
  • Turn In: Section 4.1 1a,b and the BVP on the last page of the class notes. See class notes and/or Example 5.1(a).
• 2/21
  • Topic: Independent functions, reduction of order.
  • Class Notes for the day.
  • Read: Sections 4.1 and Section 4.2
• 2/20
  • Exam 2
• 2/19
  • Topic: Review/Overview.
  • Class Notes for the day.
  • Class Multiple Choice Exercises answers are on the last page
  • Read (Highly Suggested!): Section 3.7 and Section 4.5
  • Prepare For: Exam 2 on Tuesday, February 20^th with any of the suggested below. Those in bold are top priority.
  • Suggested: 3.1: 1, 2, 4   3.2: 5   3.3: 4, 5   3.4: 1, 2, 3, 4   3.5: 1, 4   3.6: 2, 3, 4   4.3: all   4.4: 3   4.5: all
  • Suggested: 2nd Order IVP Practice Worksheet 1, 2, 3, 4
• 2/16
  • Topic: Review/Overview.
  • Class Notes for the day.
  • Class Exercises   Answers
  • Read (Highly Suggested!): Section 3.7 and Section 4.5
  • Suggested: 4.5: all
  • Turn In: 4.3: 1(e)
  • Prepare For: Exam 2 on Tuesday, February 20^th with any of the suggested below. Those in bold are top priority.
  • Suggested: 3.1: 1, 2, 4   3.2: 5   3.3: 4, 5   3.4: 1, 2, 3, 4   3.5: 1, 4   3.6: 2, 3, 4   4.3: all   4.4: 3   4.5: all
  • Suggested: 2nd Order IVP Practice Worksheet 1, 2, 3, 4
• 2/14
  • Topic: Undamped systems, resonance and beats.
  • Class Notes for the day.
  • Read (Highly Suggested!): Section 3.7 and Section 4.5
  • Suggested: 4.4: 1, 2 if you weren't in class today
  • Turn In: 4.4: 3 Work this one in decimal, rounding all numbers to three significant figures.
• 2/13
  • Topic: Differential operators, second order, linear, constant coefficient IVPs.
  • Class Notes for the day.
  • Read: Section 4.3 only to the end of Example 4.3(e)
  • Suggested: 3.5: 1 all if you didn't do already
  • Turn In: 4.3: 1(c) and 2nd Order IVP Practice Worksheet Exercise 4 Work this one in decimal, rounding all numbers to three significant figures.
• 2/12
  • Topic: Differential operators, second order, linear, constant coefficient IVPs.
  • Class Notes for the day.
  • Read: Section 3.5
  • Suggested: 3.5: 1 all
  • Turn In: 3.1: 1(b)   2nd Order IVP Practice Worksheet Exercise 3 Due at the start of class Tuesday.
• 2/7
  • Topic: Second order, linear, constant coefficient IVPs.
  • Class Notes for the day.
  • Read: Section 3.6 and Section 3.7
  • Suggested: 2nd Order IVP Practice Worksheet 1, 2, 3, 4
  • Suggested: 3.6: any/all
  • Turn In: 3.4: 2a,b,c   Was due Wednesday, turn in next to my office door by 2:00 Thursday.
  • Turn In: 2nd Order IVP Practice Worksheet Exercise 1 Show all work in a neat, organized manner. Turn in next to my office door by 1:00 Friday.
  • Turn In: 2nd Order IVP Practice Worksheet Exercise 2 Show all work in a neat, organized manner. Due at class time Monday.
• 2/6
  • Topic: Damping, particular solutions to second order, linear, constant coefficient ODEs.
  • Class Notes for the day.
  • Read: Section 3.4
  • Suggested: 3.4: 1a,b,c
  • Turn In: 3.4: 2a,b,c   Show work, of course. Use the answers to 1a,b,c and the examples to help you.
• 2/5
  • Topic: Euler equations and second order, linear, homogeneous, constant coefficient ODEs.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 3.1 and Section 3.3
  • Suggested: 3.1: 1  : You were working on this in class - finish it.
  • Turn In: 3.1: 1(a)   Show work, of course.
• 2/2
  • Topic: Second order, linear, homogeneous, constant coefficient ODEs.
  • Class Notes for the day.
  • Read: Section 3.2
  • Suggested: 3.2: 1, 2, 3 these don't take much time - do them!
  • Turn In: 3.2: 4, 5
• 1/31
  • Topic: Second order, linear, homogeneous, constant coefficient ODEs.
  • Class Notes for the day.
  • Read: Section 3.1 Read the first paragraph, then skip to the end of Example 3.1(a).
  • Suggested: 3.1: All of Exercise 2 or, at a bare minimum, 2a,b,c,h
  • Prepare For: Quiz on Friday, February 2nd by reading and doing the above.
• 1/30
  • Exam 1
• 1/29
  • Topic: Review.
  • Prepare For: Exam 1 on Tuesday, January 30th by looking here.
• 1/26
  • Topic: Applications of first Order ODEs, Transient and Steady-State Solutions, Review.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 2.5
  • Prepare For: Exam 1 on Tuesday, January 30th by looking here.
• 1/24
  • Topic: Phase Portraits and Equilibrium Solutions.
  • Class Notes for the day.
  • Read: Section 2.4
  • Suggested: 2.4: 1, 2 at a bare minimum, do 3 and 4 as well if you can get to them.
  • Prepare For: Quiz Friday on Section 2.4. Prepare by doing the suggested exercises.
  • Turn In: 2.5: 3a,b,c, 4a,b You can solve the ODEs for 3 and 4a by separation, or you can solve all of them with an integrating factor.
• 1/23
  • Topic: Solving with Integrating Factors.
  • Class Notes for the day.
  • Read: Section 2.3
  • Turn In: 2.3: 2, 4   show work, as always, and check your answers in the back
• 1/22
  • Topic: Solution Curves and Direction Fields.
  • Class Notes for the day.
  • Read: Section 2.2
  • Suggested: 2.2: 8, 9, 10
  • Prepare For: Quiz Tuesday on Section 2.2. Prepare by doing the suggested and checking your answers in the back.
• 1/19
  • Topic: More Separation of Variables.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 2.1 and Examples 2.5(b),(c),(d)
  • Turn In: Section 2.1: 1a,d, 3a,b,d solve for y in 1d even though it says not to.
  • 1d and some of 3a,b,d are like what we did in class today - show all steps of solving for y, as shown in class and Example 2.1(b)
• 1/17
  • Topic: Separation of Variables.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 2.1
  • Turn In: Section 2.1: 1e,f, 2b,c,d   show all work neatly! Due at the start of class on Friday.
  • Check answers in the back when done, correct errors. If you will be gone Friday, turn in next to my office by class time.
• 1/16
  • Topic: Classifications of differential equations.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 1.6   and, if you want to get ahead, Section 2.1
  • Suggested: 1.6: all
  • Prepare For: Quiz Wednesday on Chapter 1 - it will focus on terminology, so all sections but 1.5 and 1.7.
  • Turn In: Section 1.7: 4a,b,c, 5a (originally due Tuesday)   show all work neatly! Due at the start of class on Wednesday.
• 1/12
  • Topic: Solutions to initial value problems and boundary value problems.
  • Class Notes for the day.
  • Class Exercises ignore the last one!
  • Read: Section 1.7   and, if you want to get ahead, Section 1.6
  • Suggested: 1.7: 3 all, 6a,c,d
  • Turn In: Section 1.7: 4a,b,c, 5a   show all work neatly! Due at the start of class on Tuesday.
• 1/10
  • Topic: Solutions to differential equations.
  • Class Notes for the day.
  • Class Exercises
  • Read: Section 1.4   and, as needed for the assignment, Section 1.5
  • Turn In: Section 1.5: 6a, 8a, 9a,b (See Example 1.5(e))   Section B.3: 5a,b (see Example B.3(c))   show all work neatly!
  • The assignment is due at the start of class on Friday. Turn it in at my office before then if you will be gone.
• 1/9
  • Topic: Derivatives in applied situations.
  • Class Notes for the day.
  • Class Exercises These are the exercises that we worked on in class, answers in the class notes.
  • Read: Section 1.3 and, if you want to review what we did in class, Section 1.2 from Example 1.2(c) on.
  • Suggested: Section 1.3: all
• 1/8
  • Topic: Review of derivatives, functions and variables.
  • Class Notes for the day.
  • Class Exercises These are the exercises that we worked on in class, answers in the class notes.
  • Read: Section 1.1 and Section 1.2 up through Example 1.2(b)
  • Suggested: Section 1.1: 1 - 4, 6, 7   and   Section 1.2: 3 - 6
  • Suggested: Review derivatives using Appendix B.1 as needed.
  • Prepare For: Quiz on the reading material from Sections 1.1 and 1.2, and what we did in class today, on Tuesday 1/9.