Textbook

Sections of Text Covered:

• Chapter 1, First-Order Equations: Sections 1-5, 7-8
• Chapter 2, Linear Equations of Higher Order: Sections 1-6.
• Chapter 4, Laplace Transform Methods: Sections 1-6
• Chapter 6, Numerical Methods: Section 1.

Additional References

Objective

• a basic understanding the special language, notation, and point of view of ordinary differential equations (ODEs), and the importance of differential equations in the modeling of many physical laws and processes.
• the ability to solve basic differential equations
• a basic understanding of differential equations from contrasting but complementary points of view: algebraic, graphical, numerical, and procedural
• reinforcement of the concepts and techniques learned in calculus
• a basic understanding of some classical problems and processes, such as spring mass systems, and electrical circuits
• an improved ability to read, write, speak, and think in mathematical terms

• First order linear and non-linear differential equations with applications: slope fields, solution curves, numerical methods, separable equations, linear equations, exact equations. Applications include mixing problems, population dynamics, and Newtonian mechanics.
• Euler's numerical method
• Second order linear equations with applications: fundamental solutions of the homogeneous equations, linear independence, Wronskians, reduction of order, homogeneous equations with constant coefficients, nonhomomogeneous equations, undetermined coefficients, variation of parameters. Applications include mechanical vibrations and electrical circuits. Higher order linear equations.
• the Laplace transform as a tool for solving differential equations.

MA 172 and MA 201 (co-requisite)

Midterm examinations

There will be three 55 minute, in-class examinations during the semester. These are scheduled for February 12, March 13 and April 15.

Final examination

There will be a comprehensive final examination on April 29 from 3:00--5:30 a.m.

Quizzes

I will give quizes every Thursday and this average will count 20% of your grade. Your need to do all of the homework assignments on regular basis to be able to do well in this class. Quizzes that are not picked up in class the the day I return them will be kept in my office. Please stop by to pick up your old quizzes.

Homework

Homework will be assigned weekly in your lecture sessions, but not collected. .

Course grading

Each student's grade will be based on the individual grades from exams and assignments. The approximate percentage weights are as follows:

Grade Weights

Item	Approx. Weight
Three Mid-term Exam(s)	50%
Final Exam	30%
Quizzes	20%
Total	100%

Grading Scale

A	90.0 - 100%
B	80.0 - 89.9%
C	70.0 - 79.9%
D	60.0 - 69.9%
F	Below 60.0%

Week	Dates	Sections	Comments
1	1.1	....
2	1.2,1.3	.......
3	1.4,1.5	...
4	2.1	....
5	2.2,Review	Test I on Feb. 12
6	2.3,2.4	........
7	2.5
8	2.6	....
9	4.1, Review	Test II on March 13
10	4.2,4.3	....
11	4.4	....
12	4.5, 4.6	....
13	1.7,1.8	Test III on April 15
14	6.1	.....
15	Review	Final Exam: 3:00--5:30 p.m., April 29

Note: This is an approximate syllabus only and because of differences in weekly schedules, some variations are to be expected.

Section	Exercises
1.1	2,3,5,9,11,13,14,15,17,18, 19,20,23,26
1.2	3,5,7,11,12,13,15,17,21, 23, 24,26,28
1.3	1,3,5,7,9,11,12,13,15,17,19,20
1.4	5,7,9,13,15,19,23,26,29
1.5	2,5,7,9,11,13,14,16,17,18,19,21,23,27,29
2.1	7,9,11,13,15,17,20,24,27,29
2.2	1,3,7,9,12,15,19,21,25
2.3	5,7,9,11,15,19,21,24,29,31,33
2.4	3,4,13,14,15-23,34
2.5	3,7,9,13,19,23,28,30,33,34,38
2.6	3,4,7,9,10,13,14,16,17
4.1	3,5,7,9,11,13,15,17,19,21,23,25,27,29,31
4.2	4,7,9,11,13,15,17,19,21,24,28,30
4.3	3,7,10,15,19,23,27,29,33,35
4.4	3,5,7,9,11,15,19,22,25,27,36,38
4.5	1,3,5,7,9,11,13,15,17,19,21
4.6	1,3,5,7,9,11,13,17,19,21
6.1	3,5,7,9,11,15,17,19,21,23
1.7	5,7,9,10,11,12,13,15,16,18,21,23,24
1.8	2,4,6,8,9,10,11,12,13,15,17,19,20

Measurement Converter

Complex Numbers

Units of Measurement

Table of Laplace transforms

FINAL EXAM

Old Exams

Midterm Exam I

Midterm Exam II

Midterm Exam III

Final Exam

WANTED

The MCM (Mathematical Contest in Modeling) is a contest where teams of undergraduates use mathematical modeling to present their solutions to real world problems. The Interdisciplinary Contest in Modeling (ICM) is an extension of MCM designed to develop and advance interdisciplinary problem-solving skills as well as competence in written communication. To learn more about the contest click here. If you are interested in participating in this contest please contact me.