Instructor: Dr. Isabel K. Darcy
Department of Mathematics and AMCS
University of Iowa
Office: online
Phone: 319335 0770
Email: isabeldarcy AT uiowa.edu
Office hours:
M 4:30  5:30pm and M 2:00  2:30pm, W 3:303:45pm, F 3:304:45pm
online
and by appointment.
Ways to get help:
Links to old courses including old exams
Integration Prerequisites:
The following free supplemental online book contains many nice examples and good explanations: Paul's Online Notes: Differential Equations
Note: Prerecorded videos are available on both ICON (login not required) and Youtube. Videos recorded during class are only available via ICON, and due to Ferpa, you must be logged in and you must be a student registered in this section (MATH 3600 section 0002). These videos are denoted as ICON videos.
TENTATIVE CLASS SCHEDULEALL DATES SUBJECT TO CHANGE (click on date/section for pdf file of corresponding class material):
Tentative Schedule  HW/Announcements  
Week 1  

8/24 
Prerecorded: Integration by parts (12:44 min video),
slides pptx (pdf),
annotated slides (pdf) In class: 1.1 Falling ball notes 
Start working on next weeks' assignments.

8/26 
Prerecorded: Linear algebra + partial fractions review (25:45 min video),
slides (pdf),
annotated slides (pdf) In class: 1.2 = 2.2 Falling ball, notes  
8/28 
Prerecorded: Slope fields (45:18 min video)
slides (pdf),
annotated slides (pdf) In class: ch 1 (pptx) (pdf),  
Week 2  
8/31  Prerecorded: Introduction to Proofs Part 1 (8:12 min video)
slides (pdf),
annotated slides (pdf) In class: annotated slides(pptx) (pdf), 2.1 Integrating Factor notes 
Icon
Quiz 1 over week 1 material (Due Thursday 9/3)
HW 1 (due Friday 9/4) 
9/2  Prerecorded: Introduction to Proofs Part 2 (10:18 min video)
slides (pdf),
annotated slides (pdf) In class: 2.1  2.3 notes  
9/4  Prerecorded: Review of solving first order LINEAR differential equation using an integrating factor
(15:46 min video)
slides (pdf),
annotated slides (pdf) In class: 2.3: Applications (pptx) (pdf), annotated slides (pdf) notes  
Week 3  
9/7  Holiday 
HW 2 (due Friday 9/11) 11, 2.1: 1c, 2c, 11, 12, 19 2.2: 1, 2, 11, 13, 25 2.3: 57, 12, (1619)a 
9/9 
Prerecorded: Bernoulli's equation (17:33 min video) In class: 2.4: Existence and Uniqueness slides (pdf), annotated slides (pdf)  
9/11  2.4: Existence and Uniqueness annotated slides (pdf)  
Week 4  
9/14  2.8 Approximating solutions (notes) 
HW 3 (due Friday 9/18) 2.4: 1, 4, 5, 6, 11, 12, 17  21, 23  25, read 26 p. 101: 28, 32, 35, 36, 37 Icon Quiz 2 (Due Thursday 9/17 ) 
9/16  2.8 Approximating solutions slides (pdf) annotated slides (pdf)  
9/18 
Prerecorded: Review slope field video from week 1: Slope fields (45:18 min video) In class: 2.5 Stability slides (pdf) annotated slides (pdf)  
Week 5  
9/21  Review + notes from office hours (pdf) 
HW 4 (due Thursday 9/24) A.) By giving a specific counterexample, prove that the following functions are not linear functions: i) f(x) = \sqrt{x}. ii) g(x) = 1/x B.) Prove that the following function is a linear function: h(x) = 4x 2.5: 2, 4, 7, 9 (also draw the direction field for 7 and 9), 15, 19, 21 2.8: 1, 2, [3, 4 a & c  Prove convergence]
Upload earlier for comments before exam.

9/23  Exam 1: Ch 1 and 2  
9/25  3.1, 3, 4  
Week 6  
9/28  2.8: induction 
HW 5 (due Friday 10/2)
2.8: 3 a Use induction to prove your formula for phi_n. 3.1: 2, 4, 6, 10, 12, 13, 21 3.3: 1, 6 3.4: 3 
9/30  3.1  3.4 (pdf) annotated (pdf)  
10/2  3.1  3.4 (pdf) annotated (pdf)  
Week 7  
10/5  3.4, 3.2 (pdf) annotated (pdf) 
HW 6 (due Friday 10/9) 2.8: 4 a  Use induction to prove your formula for phi_n. 3.2: 1, 2, 3, 7, 8, 10  13, 16, 20 3.3: 9, 12, 13 3.4: 10, 11 
10/7  linear fns, 3.2, 3.5 (annotated)  
10/9  3.5 (annotated)  
Week 8  
10/12  3.5 (annotated), 3.5 (annotated) 
HW 7 (due Friday 10/16) 4.1: 13, 14 4.2: 20 3.5: 1, 4, 8, 9, 11, 16a, 17a, 18a, 19a 
10/14  ch3and4 (annotated), ch 4 (pdf), annotated (pdf)  
10/16  Linearity (annotated), ch 4 (pdf), annotated (pdf)  
Week 9  
10/19  Abel, 7.3, 7.1 (pdf), annotated (pdf) 
HW 8 (due Sunday 10/25) 4.1: 1, 4, 5, 7, 16 4.2: 4, 13, 16 4.3: 2, 7, 10  13 7.3: 13, 14, 15 7.1 (use matrix form): 3, 4, 5, 6, 12 Quiz 3 (due Sunday 10/25) [3 points, unlimited attempts] 
10/21  ch 3, 4, 7 defns, 7.1, 7.4 (pdf), annotated (pdf)  
10/23  Review (pdf), annotated (pdf)  
Week 10  
10/26  Problem session 
HW 9 (due Friday 10/30) 7.2: 17, 19 7.5: 1b, 2b, 5b 
10/28  Exam 2  
10/30  ch 7 annotated  
Week 11  
11/2  7.5 graphing, annotated 
HW 10 (due Friday 11/7) 7.2: 4 7.4: 1, 7, 11 7.5: 1, 2, 5, 17, 18, 19 7.6: 8 For 7.5 graphs, you might consider using this pdf for your graphs 
11/4  7.5 graphing, annotated  
11/6  7.5 graphing, 7.6 , annotated  
Week 12  
11/9  7.6, 9.1 , annotated 
HW 11 (due Friday 11/14) 7.5: 13, 21 7.6: 4 9.1: 17, 18 
11/11  9.1, 7.7 , annotated  
11/13  7.7, 7.8 , annotated  
Week 13  
11/16  7.7, 9.2 , annotated 
Double HW 12 (due Monday 11/30 at 4:30pm) 7.7: 4, 8, 10, 12, 13 7.8: 6, 8 9.1: 15, 17, 18 9.2: 4, 14, 23 9.3: 4, 7, 9 5.1: 3, 6, 10, 11, 20, 23 
11/18  9.2, 9.3 , annotated  
11/20  9.3, 5.1 , annotated  
Week 14  
11/30  Review , annotated 
Note HW 12 is worth double and due Monday 11/30 at 4:30pm.

12/2  Review , annotated  
12/4  Exam 3 over ch 7, 9, and 5.1  
Week 15  
12/7  5.2, annotated 
Recommended, but not HW. 5.2: 3, 7 Note this is LONG HW problem. You must provide complete answers including induction proofs. a.) Find the recurrence relation for the power series solution about the given point x_0 b.) Find the first four terms in each of two solutions y_0, y_1 (unless series terminates sooner). c.) Find the general term, a_n, and prove it. For more on series solutions see Paul's Online Math Notes (for printing select pdf chapter notes)
Also see ICON announcement for more review problems.

12/9  ch5, annotated  
12/11  Review , annotated  
Final's week  
12/17 Thu 
Final Exam
3:00PM  5:00PM 12/17/2020 Thursday See ICON announcement for review problems. 
