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MATH 225-04 [4363], Spring 2019
Introduction to Differential Equations

Course information

Course:	MATH 225-04 [4363]: Introduction to Differential Equations
Time/Place:	TuTh 5:30pm-6:45pm, MP 104
Instructor:	Dr.  Jacob Kogan	Grader:	Scott Dusek
Office:	MP 426
Phone:	410-455-3297
Email:	kogan at math.umbc.edu		scott22@umbc.edu
Office hours:	TuTh 4:45 PM-5:30 PM, and by appointment

Textbook

Fundamentals of Differential Equations and Boundary Value Problems, 8/e by Nagle, Saff & Snider, Pearson, 2012
(you may want to consult valorebooks and free download)
Additional Ordinary Differential Equations textbook you may want to consult:

• Elementary Differential Equations by William E. Boyce, Richard C. DiPrima
  [as of January 14, 2015 copies of the text are available at UMBC library, the call number is QA371.B77 1997]

Course Description

The subject of this is course is an introduction to ordinary differential equations and their applications. It's pretty much a natural continuation of calculus. Calculus II (Math 152) is a prerequisite. A knowledge of Linear Algebra (Math 221) is a great asset, but it's not a prerequisite.

We will try to cover the following material: Chapters 2, 4, 5-7.
We may cover these topics in a different order. Depending on time we may cover more (or delete) topics.

Learning Goals

• understand the key ideas, concept, definitions, and results,
• be able to apply theoretical results and computational algorithms to material realted problems.

• preview each section before it is covered in class,
• actively participate in each class,
• form and participate in a study group,
• to work out each problem, discuss it in study group if needed;
• do and hand in each assignment on time.

Helpful Material

• partial fractions
• first order differential equations
• second order differential equations
• Laplace Transform Table Boyd
• Laplace Transform Table Boyce, DiPrima

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  Homework, Quizzes, Tests, and Grading

  Homework
  • Weekly homework will be assigned on Thursday and collected the following Thursday.
  • Please staple your homework, and present the problems in the order assigned, if you want credit.
  • No late homework will be accepted.
  Quizzes, Tests, and Grading

  The final grade will be based on four quizzes (25 pt each), and the comprehensive final (100 pt).

  Date	Points	Topic	Solutions
  Tuesday, February 26	25 pt	Sec. 2.2-2.4, 2.6	solutions
  Tuesday, March 12	25 pt	Sec. 4.2-4.4, 4.6	solutions
  Tuesday, April 9	25 pt	Sec. 7.2-7.5	solutions
  Tuesday, May 7	25 pt	Sec. 7.6, 7.8	solutions
  Thursday, May 16	100 pt	material covered by 4 quizzes and Sec. 7.7

  
  Final exam is scheduled for Thursday, May 16 from 6:00 pm through 8:00 pm in class. There will be no make up quizzes or tests. Letter grade cutoffs are expected to be the following:

  Percentage	≥ 90%	89% ≥ and ≥ 80%	79% ≥ and ≥ 70%	69% ≥ and ≥ 60%	59% ≥
  Letter Grade	A	B	C	D	F

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  Remember: Mathematics is NOT a spectator sport.
  Read through the relevant section of the text (and look over all the assigned problems) before each lecture.

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  OLD QUIZZES m225 Spring 08 and m225 Spring 12 and m225 Fall 17

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  Homework assignments

  • Homework Assignment due February 14, 2019 solutions
    1. Section 2.3, page 51: 8, 14, 18, 22, 28, 29
    2. Section 2.2, page 43: 7, 10, 16, 25, 27(a)
    3. Section 2.4, page 61: 10, 15, 21, 25, 27(b), 33(a)
  • Homework Assignment due February 21, 2019 solutions
    1. Section 2.6, page 74: 1, 3, 11, 13, 21, 28.
  • Homework Assignment due February 28, 2019 solutions
    1. Section 2.6, page 74: 4, 29, 31, 32, 42
  • Homework Assignment due March 7, 2019 solutions
    1. Section 4.2, page 165: 7, 10, 13, 15, 20, 28, 34
  • Homework Assignment due March 14, 2019 solutions
    1. Section 4.3, page 173: 3, 8, 24, 31(a)
    2. Section 4.4, page 182: 9, 11, 20, 23, 26
    3. Section 4.5, page 187: 1, 3, 5, 8, 19, 20, 29, 41
    4. Section 4.6, page 193: 1, 4, 7, 12, 17, 18
  • Homework Assignment due March 28, 2019 solutions
    1. Section 7.2, page 360: 2, 3, 12, 13, 17, 30
  • Homework Assignment due April 4, 2019
    1. Section 7.3, page 365: 4, 9, 21, 22, 27, 31
    2. Section 7.4, page 374: 4, 10, 22, 27, 31, 33
    3. Section 7.5, page 382: 3, 8, 15, 21, 23, 29, 34
  • Homework Assignment due April 18, 2019
    1. Section 7.6, page 393: 1, 4, 5, 7, 9, 13, 19
  • Homework Assignment due April 25, 2019
    1. Section 7.6, page 393: 21, 26, 30, 35, 39
  • Homework Assignment due May 2, 2019
    1. Section 7.7, page 403: 4, 9, 13, 31, 32
    2. Section 7.8, page 410: 1, 6, 11, 15

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    Future Homework Assignments

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    The Official UMBC Honors Code

    By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal.

    To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, the UMBC Integrity webpage www.umbc.edu/integrity, or the Graduate School website http://www.umbc.edu/gradschool/procedures/integrity.html.

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