### N.B.: This syllabus was written before classes were moved online.

### Course Information.

**Instructor**: Joshua Flynn

**Office Hours**: 8:45am-9:30am TuTh

**Office**: 322 Montieth

**Email**: Check your email. I will have emailed you before. (How’d you get here anyways?)

**Course Syllabus**: This webpage

**Textbook**: A First Course in Differential Equations with Modeling Applications 11E, Dennis G. Zill

### Course Schedule.

**Warning: this schedule will be modified throughout the semester. The same goes for some WebAssign due dates and possibly exam dates. **

**Week 1**:

Jan 19-Jan 25

Tasks:

1) Read sections 1.1, 1.2, by Friday

2) Review Calculus 1 and 2.

Suggested Problems 1.1: 5, 7, 10, 14, 15, 24, 37; 1.2: 1, 6, 9, 19, 25

**Week 2:
**Jan 26 – Feb 1

Tasks:

1) Read sections 2.2, 2.3 by Friday

2) Complete WebAssign 1.1, 1.2 by Wednesday

Suggested Problems: 2.2: 6, 23, 26; 2.3: 16, 25, 30

**Week 3**:

Feb 2 – Feb 8

Tasks:

1) Read sections 2.4, 2.5 by Friday

2) Complete WebAssign 2.2, 2.3 by Wednesday

Suggested Problems: 2.4: 8, 13, 24, 27; 2.5: 9, 13, 17, 20, 24, 25

Do problem 2.5.35 for fun–it will help you gain a more solid understanding of substitution methods.

**Week 4**:

Feb 9 – Feb 15

Reading: 2.1, 2.6

Tasks:

1) Read sections 2.1, 2.6 by Friday

2) Complete WebAssign 2.4, 2.5 by Wednesday

Suggested Problems: 2.1: 1, 3, 5, 6 (by hand); 2.6: 1, 2, 3

**Week 5**:

Feb 16 – Feb 22

Reading: ??

Exam 1 in class on Thursday

WebAssign 1.1 – 2.6 due: Feb 23 (Sunday)

Tasks:

1) Read section ?? by Wednesday

2) Complete WebAssign 2.1, 2.6 by Wednesday

Exam Material:

Practice Exam: practice_exam1

Practice Exam Key: practice_exam1_key

Review Notes: Spring 2019 Math 2410 Exam 1 Review

2019 Exam 1: exam1 (2)

**Week 6**:

Feb 23 – Feb 29

Reading: 4.1, 4.3

Tasks:

1) Read sections 4.1, 4.3 by Friday

Suggested Problems: 4.1: 2, 5, 6, 14, 16, 19, 35; 4.3: 5, 6, 9, 12, 13, 17, 25, 37, 57

Optional Problems:

a) Using the Wronskian, prove: if a,b,c are distinct real numbers, then exp(ax), exp(bx), and exp(cx) are linearly independent on (-oo,+oo).

b) 4.3.64

**Week 7**:

Mar 1 – Mar 7

Reading: 4.4, 4.6

Tasks:

1) Read sections 4.4, 4.6 by Friday

2) Complete WebAssign 4.1, 4.3 by Wednesday

Suggested Problems: 4.4: 7, 13, 24; 4.6: 11, 15, 21

Optional Problems:

a) 4.4: 41 and 42.

**Week 8**:

Mar 8 – Mar 14

Reading: 5.1

Tasks:

1) Read section 5.1 by Wednesday

2) Complete WebAssign 4.4, 4.6 by Wednesday

Suggested problem: 5.1: 3, 5, 21-24, 27, 35

Optional Problems: 39, 43

**Week 9**:

Mar 15 – Mar 21

Spring Break

**Week 10**:

Mar 22 – Mar 28

Exam 2 in class on Thursday

WebAssign 3.1 – 4.6, 5.1 due: Mar 29 (Sunday)

Reading: 3.1, 3.2, 3.3

Tasks:

1) Read sections 1.3, 3.1, 3.2, 3.3 by Wednesday

2) Complete WebAssign 5.1 by Wednesday

Suggested Problems: 3.1: 3, 15, 32; 3.2: WebAssign problems; 3.3: 9, WebAssign problems

Exam Material:

Practice Exam: practice_exam2

Practice Exam Key: practice_exam2_key

Review Notes: exam2handout

2019 Exam 2: solutions

**Week 11**:

Mar 29 – Apr 4

Reading: 7.1, 7.2

Tasks:

1) Read sections 7.1, 7.2 by Friday

Suggested Problems: 7.1: 23, 32; 7.2: 8, 18, 36, 42

Optional Problems: 7.1: 41, 42, 45 (These are really good problems–it shows how we sometimes go from an integer value identities to fractional analogues).

**Week 12**:

Apr 5 – Apr 11

Reading: 7.3, 7.4

Tasks:

1) Read sections 7.3, 7.4 by Friday

Suggested Problems: 7.3: 7, 9, 12, 23, 37, 40, 47, 63; 7.4: 6, 10, 22, 26, 29, 42, 57, 58

Optional Problems: 7.4: 65, 71

**Week 13**:

Apr 12 – Apr 18

Reading: Typed Notes 2.1-3.5

Tasks:

1) Read Typed Notes 2.1-3.5 by Friday

2) Complete all the Typed Notes’ Chapter 2 problem by Apr 22

Suggested Problems: Exercises from Typed Notes

**Week 14**:

Apr 19 – Apr 25

Reading: Typed Notes 3.6

Tasks:

1) Read Types Notes 3.6 by Wednesday

2) Complete all the Typed Notes’ Chapter 3 problems by Apr 29

Suggested Problems: Exercises from Typed Notes

**Week 15**:

Apr 26 – May 2

Exam 3 in class on Thursday

WebAssign 7.1-7.4 due: May 3 (Sunday)

Exam Material:

Practice Exam: practice_exam3 (Typo fixed on equation sheet for single eigenvalue case; this typo is not fixed on the key)

Practice Exam Key: practice_exam3_key (Typo fixed in prob 1)

Review Notes:

Exam 3:

### Lecture Notes.

Note: These lecture notes are not a substitute for the text. They are written for me to reference in class, but they may be useful in case you missed class. There also may be tpyos.

#### Chapter 1

Lecture Notes 1.3 & Supplemental (In Class Examples)

#### Chapter 2

#### Chapter 3

Lecture Notes 3.1 & Supplemental (In Class Examples)

Lecture Notes 3.2 & Supplemental (In Class Examples)

#### Chapter 4

#### Chapter 5

#### Chapter 7

Supplemental (Hyperbolic Trig)

Supplemental (Properties of Laplace Transforms)

#### Introduction to Systems of Differential Equations

#### The Wave Equation

### Homework Policy.

**WebAssign:**

*Assigned*: Weekly

*Due*: Sunday after respective exam

*Extension policy*: Through WebAssign, there is an automated 7 day extension request system. You must make an extension request before the assignment is due. There is a 15% penalty on the problems not completed by the due date.

**Textbook:**

*Assigned*: Weekly

*Due*: Optional

**Exams.**

* Late Policy*: There will (generally) be no make-up exams granted. If you have to miss an exam for a legitimate reason, other exams may be weighted differently. Other options may be discussed if necessary.

*: From the time your exam is returned, you have 48 hours to challenge your grade. After 48 hours, your exam grade will not be subject to change.*

**Challenging a Grade on Exams***: No calculators allowed during exams.*

**Calculators**### Grading.

*Breakdown*:

25%: WebAssign Assignments

25%: Exam 1 (Week 5)

25%: Exam 2 (Week 10)

25%: Exam 3 (Week 15)

Grade |
Letter Grade |
GPA |

93-100 | A | 4.0 |

90-92 | A- | 3.7 |

87-89 | B+ | 3.3 |

83-86 | B | 3.0 |

80-82 | B- | 2.7 |

77-79 | C+ | 2.3 |

73-76 | C | 2.0 |

70-72 | C- | 1.7 |

67-69 | D+ | 1.3 |

63-66 | D | 1.0 |

60-62 | D- | 0.7 |

<60 | F | 0.0 |

### Remaining Syllabus:

**Student Responsibilities and Resources:**

**Student Responsibilities and Resources:**

As a member of the University of Connecticut student community, you are held to certain standards and academic policies. In addition, there are numerous resources available to help you succeed in your academic work. Review these important standards, policies and resources, which include:

- The Student Code: Academic Integrity, Resources on Avoiding Cheating and

Plagiarism - Copyrighted Materials
- Netiquette and Communication
- Adding or Dropping a Course
- Academic Calendar
- Policy Against Discrimination, Harassment and Inappropriate Romantic Relationships
- Sexual Assault Reporting Policy

*Students with Disabilities:*

The University of Connecticut is committed to protecting the rights of individuals with disabilities and assuring that the learning environment is accessible. If you anticipate or experience physical or academic barriers based on disability or pregnancy, please let me know immediately so that we can discuss options. Students who require accommodations should contact the Center for Students with Disabilities, Wilbur Cross Building Room 204, (860) 486-2020 or http://csd.uconn.edu/.