### Course Information.

** Instructor**: Joshua Flynn

**: M: 08:00-09:00, WF: 09:00-10:00 (or by appointment)**

*Office Hours***: 322 Montieth**

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

**: This webpage**

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

*Textbook*### 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 20 – Jan 26

Tasks:

1) Read sections 1.1, 1.2, 1.3 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; 1.3: the sections: Population Dynamics, Newton’s Law of Cooling, Mixtures, Additional Mathematical Models.

** Week 2:
**Jan 27 – Feb 2

Tasks:

1) Read sections 2.1, 2.2 by Friday

2) Complete WebAssign 1.1, 1.2, 1.3 by Wednesday

Suggested Problems: 2.1: 1, 3, 5, 6 (by hand); 2.2: 6, 23, 26.

* Week 3*:

Feb 3 – Feb 9

Tasks:

1) Read sections 2.3, 2.4 by Friday

2) Complete WebAssign 2.1, 2.2 by Wednesday

Suggested Problems: 2.3: 16, 25, 30; 2.4: 8, 13, 24, 27

* Week 4*:

Feb 10 – Feb 16

Reading: 2.5

Tasks:

1) Read section 2.5 by Friday

2) Complete WebAssign 2.3, 2.4 by Wednesday

Suggested Problems: 2.5: 9, 13, 17, 20, 24, 25.

Do problem 35 for fun–it will help you gain a more solid understanding of substitution methods.

* Week 5*:

Feb 17 – Feb 23

Reading: 2.6

Exam 1 in class on Friday

WebAssign 1.1 – 2.6 due: Feb 24 (Sunday)

Tasks:

1) Read section 2.6 by Wednesday

2) Complete WebAssign 2.6 by Wednesday

Suggested Problems: 2.6: 1, 2, 3

Exam Material:

Practice Exam: practice_exam1

Practice Exam Key: practice_exam1_key

Review Notes: Spring 2019 Math 2410 Exam 1 Review

Exam 1: solutions

* Week 6*:

Feb 24 – Mar 2

Reading: 3.1, 3.2, 3.3

Tasks:

1) Read sections 3.1, 3.2, 3.3 by Friday

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

* Week 7*:

Mar 3 – Mar 9

Reading: 4.1, 4.3

Tasks:

1) Read sections 4.1, 4.3 by Friday

2) Complete WebAssign 3.1, 3.2, 3.3 by Wednesday

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 8*:

Mar 10 – Mar 16

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 9*:

Mar 17 – Mar 23

Spring Break

* Week 10*:

Mar 24 – Mar 30

Reading: 5.1

Exam 2 in class on Friday

WebAssign 3.1 – 4.6, 5.1 due: Mar 31 Sunday

Tasks:

1) Read section 5.1 by Wednesday

2) Complete WebAssign 5.1 by Wednesday

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

Optional Problems: 39, 43

Exam Material:

Practice Exam: practice_exam2

Practice Exam Key: practice_exam2_key

Review Notes: exam2handout

Exam 2: solutions

* Week 11*:

Mar 31 – Apr 6

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 7 – Apr 13

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 14 – Apr 20

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 21 – Apr 27

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 28 – May 4

Exam 3 in class on Friday

WebAssign 7.1-7.4 due: May 5

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 2:

### 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/.