Elementary Differential Equations  MATH 046, Fall 2005 
 
Syllabus.pdf 
 
 

Text Book

Elementary Differential Equations, by W. F. Trench

Professor

Dimiter Vassilev

 

Office

Surge 219

 

 

Email

dvassilev @ math.ucr.edu

 

 

Phone 

(951)  951- 4610

 

Web Page

math.ucr.edu/~dvassilev/DiffEq.htm

Office Hours

Monday 9 -10, Wednesday 1pm- 2:30pm or by appointment. You can also stop by anytime you have a quick question.

 

 

TA, Section  T 2:10pm, PHY 2111

Hwa Young Lee

TA, Section  T 9:10pm, HMNSS 1406

Hwa Young Lee

TA Office Hours

Monday from 12:00 to 1:30 and  Friday 12:00 to 2:00

 
Prerequisites: MATH009C with a grade of "C-" or better OR MATH09HC with a grade of "C-" or better
 

CATALOG DESCRIPTION:
MATH 046 Introduction to Ordinary Differential Equations 4 Lecture, 3 hours; discussion, 1 hour. Prerequisites): MATH 009C with a grade of "C-" or better or MATH 09HC with a grade of "C-" or better or equivalent. Introduction to first-order equations, linear second-order equations, series solutions, and Laplace transforms, with applications to the physical and biological sciences.

 Note: ID required to take an exam

Daily Information

Class

Sections

Homework ( * problems due Wednesday following class)

F    9/30/05

1.1, 1.2

1.2/1b*, 2c*, 4e*

M  10/3/05

1.3 -Direction fields   2.1 – linear homogeneous eqs of 1st order

1.3/ 12*, 20  2.1/2*, 4*, 6*

W  10/5/05

2.1 - Linear non-homog eqs of 1st order; existence and uniqueness thrm

2.1/ 6, 8*, 14, 16*, 30, 44

F   10/7/05

2.2 - Separable Variables

2.2/ 2,8,12*,28*,36*

M 10/10/05

2.4 – Bernoulli’s equation, homogeneous equations

Read 2.3; 2.4/2*, 8*, 16, 22

W 10/12/05

2.5 - Exact equations

2.5/ 2, 6*, 19*, 28, 35

F  10/14/05

2.6 - Integrating Factor

2.6/1, 4*, 6*, 22

M 10/17/05

3.1 - Euler's method

3.1/ 14* (only h=.1)

W 10/19/05 4.1 - Exponential decay/growth 4.1/ 2*, 10*, 16*, 18
F 10/21/05 4.2 - Cooling and Mixing 4.1/18*   4.2/4*, 12*
M 10/24/05 4.3 - Applications to Mechanics 4.3/8*, 10*
W 10/26/05 4.3 - Escape velocity  4.5-orthogonal trajectories 4.3/6*, 18*    4.5/26*
F 10/28/05 5.1 - Second order liner homogeneous equations 5.1/2*,5e,6*,26*,29
M 10/31 5.2 - Constant coefficients homogeneous equations 5.2/2*,4*,24*,28*
W 11/02/05 5.2 - Complex Numbers, Exponential solutions 5.2/6*,22*, 26*
F 11/04/05 5.3 - Second order linear non-homogeneous equations 5.3/4*,10*,24*,36*
M 11/07/05
W 11/09/05 Midterm Exam 1.2/3c  1.3/15  2.1/4, 11,31 2.2/17, 29 ,35 2.3/1,19 2.4/1,3  2.5/1,3  2.6/5  3.1/1  4.1/15   4.2/5  4.3/1,11  4.5/27  5.1/5b,7,30  5.2/1,7,13,25,29  5.3/1,3,25,27 ID required to take the exam
M 11/14/05 5.4 - The  method of undetermined coefficients 5.4/4*,12*,20*,36*
W 11/16/05 5.5 - The  method of undetermined coefficients (trig fns) 5.5./ 8*.12*, 24*
F 11/18/05 5.6 - Reduction of Order 5.6/ 4*, 18 &, 32*
M 11/21/05 5.7 - Variation of Parameters 5.7/ 2*, 8*, 30*
W 11/23/05 6.1 - Simple Harmonic Motion read 6.1
M 11/28/05 6.1 - Harmonic motion 6.1/6*,10*,18*
W 11/30/05 6.2 - Spring problems II 6.2/4*,6*,18*
F 8.1, 8.2 Show L[t^n]=n/s L[t^(n-1)]; find L[ sin wt]
M 8.2. 8.3 8.2/1d*, 1b*,2*  8.3/2
W 8.3
F Review
T 12/13/05 Final Exam 3pm- 6pm    Practice Problems ID required to take the exam

Calendar

Midterm

 11/9/2005

 ID required to take the exam

Final Exam

12/13/2005 3 to 6 p.m.    Practice Problems

 ID required to take the exam

 

 

Attendance

Monday, Wednesday and Friday 8:10 – 9  in SPR 2355. The Department expects students to attend, and to participate in, all lectures and discussion sections of the Math 9ABC class in which they are enrolled. Classes cannot be missed except for certified reasons (such as a medical emergency with a doctor certificate). 

Homework and Quizzes

Every class, I will assign a group of problems for you to work on to master the material presented in class.

*   Every homework will have a few * problems that you will have to turn in.

*   The homework assigned on Friday, Monday and Wednesday is due on the first Wednesday after it was assigned.

*   All collected homework will be returned in your discussion section the week following the one it was collected.

*   The homework sheets have to be stapled with the problems written in order they were assigned.

*   Your name and discussion section time should be written in the top right corner of the stapled homework (do not fold it!).

*    Please follow this requirement at all times as otherwise the homework will not be collected or graded.

There will be 10 to 15 minute long quizzes.  The quizzes will be given every week in the discussion sections.  The problems will be from or very close to the homework.  You are expected to reasonably explain (in writing) the steps of the solutions.

Unsubstantiated answers will not be given credit.

All quizzes and  homework points are bonus points. 

Your TA and Reader  will decide the part and the amount of problems from your homework or quizzes that will be graded each week.

You should always write your own solutions of all the homework problems. It is your responsibility to follow this advice. This will be very helpful when you review later in the quarter. Many times people tend to believe they can do certain problems until they have to write down the actual solutions. 

Exams

There will be one Midterm exam and a Final Exam.  The homework will inform you about the tests, but you should not expect that most test questions will come without modification from the homework or any mock test

Getting Help

I strongly recommend that you come and see me whenever you have difficulties.  Please do not postpone your questions for a later time.

Grading

Midterm

200

Final exam

400

Total 

600

+ Bonus HW and Quizzes max of

90

A (at least 90%), B (80-89%), C (65-79 %), D (50-64 %), F  ( <  50%)

Mathematics Department Policy: grant grades of C- or higher only to students who demonstrate adequate preparation for the next course in the sequence or program. For example, a student who is not competent to solve very elementary word problems does not meet this standard.

 

Make ups

No make-up quizzes or exams are allowed, except for a certified reason (such as a Doctor certificate).

Academic Honesty

Students are encouraged to review UC Riverside's policies on academic integrity, available on the web at http://www.conduct.ucr.edu/ In particular, students are expected to submit their own work for exams and homework assignments