**Instructor: ** Dr. Isabel K. Darcy

Department of Mathematics and AMCS

University of Iowa

**Office:** online

**Phone:** 319-335- 0770

**Email**: isabel-darcy AT uiowa.edu

Ways to get help:

- Get help during class. Please ask questions.
- Get help during office hours.
- Make an appointment outside of office hours (held after each class).
- E-mail me questions. You can also take a picture with your phone, computer, etc to show me your work.

Integration Pre-requisites:

- Integration by substitution
- Integration by parts
- Integration by partial fractions Note: Partial fractions are also used in ch 6 for a different application.

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

Note: While most lectures will be synchronous, some lectures will be asynchronous. Pre-recorded asynchronous videos are available on ICON (login not required). 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. These videos are denoted as ICON videos.

TENTATIVE CLASS SCHEDULE-ALL DATES SUBJECT TO CHANGE (click on date/section for file of corresponding class material):

Tentative Schedule | HW/Announcements | |

Week 1 | ||
---|---|---|

1/25 | 1.1 Springing ball am notes, pm notes |
Start working on next weeks' assignments and listen to 2 pre-recorded lectures: Pre-recorded: Integration by parts (12:44 min video), slides pptx, annotated slides Pre-recorded: Linear algebra + partial fractions review (25:45 min video), slides , annotated slides |

1/27 | 1.2 = 2.2 Springing ball, am notes, pm notes | |

1/29 | ch 1 (pptx) , annotated slides:AM , annotated slides:PM | |

Week 2 | ||

2/1 |
Pre-recorded: Slope fields (45:18 min video)
slides,
annotated slides plus listen to first 7:02 minutes of video in Discussion HW 0 Videos: Mechanical (and electrical) vibrations. |
HW 1 (due Wednesday 2/3) 1.1: 1,2, 6, 10 - 16 all, 21, 23; 1.2: 1, 5, 8, 13; 1.3: 2, 3, 9, 12, 19 Feb 1 notes: 1_3: 19 and 1_2: 1a, 1_2: 1, 13, and 1_1: slopeFields |

2/3 |
2.2 annotated slides (AM pptx),
(PM pptx) , 2.1 Integrating Factor AM notes, PM notes | |

2/5 | 2.3: Applications (pptx) , annotated slides AM PM | |

Week 3 | ||

2/8 |
Pre-recorded: Review of solving first order LINEAR differential equation using an integrating factor
(15:46 min video)
slides ,
annotated slides Pre-recorded: Bernoulli's equation (17:33 min video) slides , annotated slides |
HW 2 (due Wednesday 2/10) 2.1: 5, 8, 11, 12, 17 2.2: 1, 2, 13, 18, 20 2.3: 2, 3, 8, 11, 16 Use software for 2.1: 5a, 8a, part of 17. Feb 8 notes: 2.3: 3, 2.2: 13, 2.2: 18; 2.1: 17, 8ab; 2.3: 3c, 11; 2.1: 11 |

2/10 | 2.4: Existence and Uniqueness slides, annotated slides | |

2/12 | 2.5 Stability slides, annotated slides AM PM | |

Week 4 | ||

2/15 |
Pre-recorded: Theorem 2.4.2/domain (28:41 min video)
slides ,
annotated slides Pre-recorded: 2.7: Euler's method for approximating a function using tangent lines (27:00 min video) slides, annotated slides |
HW 3 (due Wednesday 2/17) 2.4: 2, 3, 6, 10, 17, 18b, 21, 23 - 25 2.5: 4, 7, 9, 15, 19 Review Slope fields (45:18 min video) from week 2. Feb 15 notes: 2.5: 4, 2_4: 8b, 10, 17, |

2/17 | 2.8 Approximating solutions (slides), annotated slides AM PM | |

2/19 | 2.8 Approximating solutions (slides), annotated slides AM PM | |

Week 5 | ||

2/22 | Review + notes from office hours, AM |
HW 4 (due Friday 2/26) 2.7: 1ad, 3ad 2.8: 3, 5, 6 and ch 2 review 12, 19, 24 |

2/24 | Exam 1 (during class) | |

2/26 | 3.1 - 3.4, annotated slides AM PM | |

Week 6 | ||

3/1 | 3.1 - 3.4, annotated slides AM PM |
HW 5 (due Wednesday 3/3)
3.1: 2, 5, 9, 10 3.3: 1, 3, 8, 11, 12 3.4: 2 Use graphing calculator/software for graphs. |

3/3 | 3.1 - 3.2, annotated slides AM PM | |

3/5 | Linearity, 3.1 - 3.4, 3.5, annotated slides AM PM | |

Week 7 | ||

3/8 | 3.5, annotated slides PM, 3.5 worksheet, answers with explanations. |
HW 6 (due Wednesday 3/10) 3.1: 12, 15, 17 3.2: 2, 5, 9, 10, 11, 13, 14, 16, 17, 24 3.3: 15, 16, 18 3.4: 6, 8, 10, 11, 14 Use graphing calculator/software for graphs. |

3/10 | 3.5, 3.6, annotated slides AM, PM | |

3/12 | 3.6, annotated slides AM, PM | |

Week 8 | ||

3/15 | 3.7, 3.8 , annotated slides AM, PM |
HW 7 (due Wednesday 3/17) For 12 points, do the 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. 3.5: 4, 8, 9, 13, 15, 16a, 17a, 18a, 19a 3.6: 3, 7, 8, 10 |

3/17 | 3.7, 3.8 , annotated slides AM, PM | |

3/19 | 3.8, 4.1 , annotated slides AM, PM | |

Week 9 | ||

3/22 | 3.7, 3.8 review, 4.1, annotated slides AM, PM |
HW 8 (due Wednesday 3/24) 3.7: 1, 3, 4, 6, 9 3.8: 4, 5, 7, 8 3.7 worksheet 3.7 worksheet ANSWERS
Strongly recommended, but not HW: |

3/24 | 4.1, annotated slides AM, PM | |

3/26 | ch 4, annotated slides AM, PM | |

Week 10 | ||

3/29 | Review, annotated slides AM, PM |
HW 9 (due Sunday 4/4- but knowledge due 3/31) 4.1: 1, 4, 6, 9, 11, 16 4.2: 4, 7, 9, 11, 13, 16, 17, 21 4.3: 1, 6, 8, 11, 13 4.4: 2 AND Some review problems including answers |

3/31 | Exam 2 | |

4/2 | 7.1, 7.4, 7.5, annotated slides AM, PM | |

Week 11 | ||

4/5 | 7.1, 7.4, 7.5, annotated slides AM, AM |
HW 10 (due Wednesday 4/7) 7.1: 1, 4, 7, 9, 12 7.5: 2 |

4/7 | 7.5 graphing | |

4/9 | 7.5 graphing, 7.6 | |

Week 12 | ||

4/12 | 7.6 |
HW 11 (due Friday 4/16) 7.5: 5, 10, 17, 18, 19 7.6: 1, 2, 7, 21 9.1: 17, 18 (first draft for these 2 problems) For 7.5 graphs, you might consider using this pdf for your graphs. Note this is not required, but shows one way I could break a problem into smaller problem(s) on an exam. |

4/14 | Break | |

4/16 | 9.1, 9.2, 6.1 | |

Week 13 | ||

4/19 | Discussion (am notes , pm notes) |
Finishing taking all the Ch 6 SV quizzes due Tuesday 4/20 at 11:59pm (firm deadline).
HW 12 (due Wednesday 4/21) |

4/21 | 6.1, 6.3 | |

4/23 | 6.3 | |

Week 14 | ||

4/26 | 6.3, 6.6, 6.4 |
HW 13 (due Friday 4/30) 6.1: 2, 4, 8, 11, 17 6.3: 1, 5, 9, 12, 13, 14 |

4/28 | Review | |

4/30 | Exam 3 over ch 6.1 - 6.3, 7.1, 7.5, 7.6, 9.1, 9.2 | |

Week 15 | ||

5/3 | 6.4, 6.5, 7.8 |
HW 14 (due Friday 5/7 -- will be modified) 6.4: 2, 8
Extra Credit (2 pts each) |

5/5 | 7.7 | |

5/7 | Review AM, PM | |

Final's week | ||

5/12 | Final exam: 12:30PM - 2:30PM 05/12/2021 Wed | |