Betsy McCall Courses for Spring 2012 Columbus State Community College Math 285 Differential Equations

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Columbus State Community College

Elementary Differential Equations , Math 255

Course Description (from the College): MATH 255 is a study of the basic concepts and methods of solving ordinary differential equations, first and second order, higher order linear equations, Laplace transform methods, series solutions, and numerical solutions of differential equations. Topics have applications to the physical sciences and engineering. MATH 255 meets general education requirements for the A.S. and A.A. degrees. Prerequisite: Math 254 with a grade of C or better.

*Files on this page are mostly in .docx format (though some are in .pdf). If you have difficulty downloading them, see instructions linked in the left margin.

Syllabus -- in Word format

Homework

Important Dates
Exam I -- Monday, July 9th exam key/study guide key
Exam II -- Monday, July 30th exam key/study guide key
Final Exam -- Wednesday, August 15th at 6:00 p.m. exam key/supplemental study guide key/Laplace formula sheet

more detailed schedule in the syllabus

Email List

via Blackboard

Grade Calculator -- javascript online grade calculator

Announcements:

Office: DH 431
My CSCC email: bmccall2@cscc.edu
Office hours: TBA, by appt; and come see me during tutoring hours M-R afternoons

Answer Keys

Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4 -- key
Quiz #5 -- key
Quiz #6 -- key
Quiz #7 -- key
Quiz #8 -- key
Quiz #9 -- key
Quiz #10 -- key
Quiz #11 -- key
Quiz #12 -- key

Homeworks to be Turned in

Problems posted to Blackboard:

Homework #1:

1.1 #1-10, 15, 18, 22, 23, 27, 31, 37

1.2 #1, 12, 18, 35-38

1.3 #1, 3, 10

2.1 #1-4

2.2 #3, 6, 10, 12, 20, 22

Homework #2:

2.3 #4, 17, 22, 25, 29

2.4 #4-6, 22, 32

2.5 #3, 7, 10, 19

2.6 #1, 3, 13

Homework #3:

3.1 #5, 11, 13, 21, 35

3.2 #3, 15

4.1 #2, 13, 15, 18, 29, 31

4.2 #1, 5, 11, 19

4.3 #3, 7, 14, 15, 18, 27, 36, 37

Homework #4:

4.4 #4, 8, 11, 15, 22, 24, 29, 38

4.6 #1, 6, 7, 13, 15, 20

4.7 #7, 15, 21, 28, 31

Homework #5:

5.1 #2, 5, 11, 17-20, 22, 27, 31, 33

6.1 #3, 6, 8, 10, 11, 13, 17, 20, 25

6.2 #1-4, 11, 13, 17, 25

Homework #6:

7.1 #3, 7, 13, 17, 21, 23, 30, 34, 37

7.2 #1, 4, 11, 16, 23, 31, 36

7.3 #3, 8, 11, 16, 22, 25, 31, 37, 41, 45

7.4 #1, 5, 6, 12, 21, 26, 38, 41, 51

Homework #1 key
Homework #2 key
Homework #3 key
Homework #4 key
Homework #5 key
Homework #6 key

Suggested Homework

Section

Suggested Problems (eoo=every other odd)

1.1

1-37 odd

1.2

1-29 odd, 35-38

1.3

1, 2, 3, 5, 9, 10, 13, 17, 19, 30, 31

2.1

1-4, 13, 14

2.2

1-31 odd, 35-38

2.3

1-33 odd

2.4

1-39 odd

2.5

1-29 odd

2.6

1-4

3.1

1-27 odd, 33, 35, 38

3.2

1-19 odd

4.1

1-35 odd

4.2

1-19 odd

4.3

1-39 odd, 43-48

4.4

1-39 odd, 43

4.6

1-23 odd

4.7

1-35 odd

5.1

1-11 odd, 17-20, 21-37 odd

6.1

1-4, 11, 13, 15-33 odd

6.2

1-9 odd, 15-29 odd

7.1

1-35 odd

7.2

1-41 odd

7.3

1-33 odd, 37-47 odd, 49-54, 55-71 odd

7.4

1-13 odd, 19-33 odd, 37-45 odd, 49-55 odd

Handouts

Undetermined Coefficients (worksheet)
Hyperbolic Trig Functions
Undetermined Coefficients
Characteristic Equations
Spring Problems
Bernoulli Equations
Laplace Formulas
Homogeneous (First Order) Equations
Laplace Transforms
Tank Problems
Series Solutions
Recognizing Types of Differential Equations

Proofs

Links:

Math 285 - Spring 2012
PDF Graph Paper
I Will Derive song
How to draw Greek
GraphCalc
Plotting Vector Fields
Direction Field Grapher
Complex Numbers in Polar Form