### Section 0121: 9:30A - 10:20A MWF in 210 MLH

Instructor:  Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: 25J MLH
Phone: 319-335- 0770
Email: isabel-darcy AT uiowa.edu

### Syllabus for Section 0092 and for Section 0121

Ways to get help:

Integration Pre-requisites:

The following free supplemental online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations

TENTATIVE CLASS SCHEDULE-ALL DATES and CONTENT SUBJECT TO CHANGE:

Week 1 Week 2 Week 3 Tentative Schedule Announcements html version of ICON page on partial fractions 1/19 1.1, 1.2 = 2.2 ,    notes 1/21 notes ,    ch 1 (pptx) ,    old notes for ch 1 and 2 (pdf) 1/24 2.2 + HW2 hints (pptx) ,    2.2 annotated slides (AM pptx),   (PM pptx) ,   2.1 Integrating Factor AM notes,   PM notes,    older notes Video: Review of 2.1: Solving first order LINEAR differential equation using an integrating factor (15:46 min) 1/26 2.2 example(pptx) ,     2.3 Application:   example from p. 9 of old notes for ch 1 and 2 (pdf) 1/28 Quiz 1 and HW hints. 1/31 2.4: Existence and Uniqueness slides,   annotated slides Video: Theorem 2.4.2/domain (28:41 min) 2/2 2.5 Stability slides, annotated slides 2.4&2.5AM    2.4&2.5PM 2/4 2/7 2.8 Approximating solutions (slides), annotated slides    2.5&2.8PM    AM,    PM Quiz 2: Thursday over HW 2 and 3 2/9 2.8, 2.7, 3.1), 2/11 3.1 - 3.4, annotated slides AM    PM 2/16 3.1 - 3.4, annotated slides AM    PM For HW 5, notice the behavior of the solutions. Some of these solutions will model mechanical/electrical vibration problems (section 3.7) Hint for problem 15: to use recommended substitution, note y' = dy/dt = (dy/dx)(dx/dt). Use chain rule to calculate y''. 2/16 3.1 - 3.2, annotated slides AM    PM       Linearity, 3.1 - 3.4, 3.5, annotated slides AM    PM 2/18 3.5, annotated slides PM,   3.5 worksheet,   answers with explanations. 2/21 3.5, 3.6, annotated slides AM,   PM Finish 3.5 problems in HW 6 BEFORE Monday's exam 1 3.5 worksheet (this is from Wednesday's 3/10 lecture, but redoing them yourself will help you make good guesses since you can check answers with explanations. 2/23 3.6, annotated slides AM,   PM 2/25 Review and quiz 3 2/28 Exam 1 Problem Session Exam 1: 6:30PM - 8:00PM Monday Feb 28 in LR1 VAN over Chapters 1 and 2 and 3.1-3.5 3/2 3.7, 3.8 , annotated slides AM,   PM 3/4 3.7, 3.8 , annotated slides AM,   PM 3.7, 3.8 review, 4.1, annotated slides AM,   PM 3/7 3.8, 4.1 , annotated slides AM,   PM For section 3.6 HW,use matrix form if you use a formula (this will make section 4.4 much easier). 3/9 3.8, 4.1, annotated slides AM,   PM ch 4, annotated slides AM,   PM 3/11 3.8, 4.1, 4.2 *****Spring Break March 13 - 20**** 3/21 4.3, 4.4 (will add update after class on Monday) (update) Mechanical Vibration review 3/23 4.4, 6.1 notes 3/25 6.1 - 6.3, in class quiz 4 3/28 6.2, 6.3, 6.6, 6.4 Some review problems including answers 3/30 6.3 4/1 6.4, 6.5, 4/4 6.3 4/6 6.4 example 4/8 Review and in class quiz 5 4/11 Exam 2 problem session Exam 2: 6:30PM - 8:00PM Monday April 11 in LR1 VAN over Chapters 3 and 4 and 6.1-6.4. 4/13 6.5, 6.6 4/15 7.1, 7.4, 7.5, annotated slides AM,   PM,   2022 notes 4/18 7.1, 7.4, 7.5, annotated slides AM,   PM, 7.5 graphing, 7.5 graphing, 7.6 For 7.5 graphs, you might consider using this pdf for your graphs 4/20 7.5, 7.6 4/22 7.6,   7.7,   2022 class notes for 7.7 4/25 9.1, 9.2 4/27 9.1, 9.2 , notes and sample quiz 4/29 9.1, 9.2 , and in class quiz 6 5/2 9.3 , annotated 5/4 Review 5/6 Thursday May 12 Final exam: 10:00AM - 12:00PM 05/12/2022 Thursday in LR1 VAN