`                   Elementary Differential Equations  MATH 146C, Spring 2006 `
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`Syllabus.pdf `
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 Text Book Elementary Differential Equations and Boundary Value Problems, by W.E. Boyce and R. C. DiPrima, 8th Edition Professor Dimiter Vassilev Office Surge 219 Email Phone (951)  951- 4610 Web Page Office Hours Monday and Friday 10 -11am,  Wednseday 3-4pm or by appointment. You can also stop by whenever  you have a quick question. Lectures MWF 4:10pm-5pm WAT 2240 Discussion, TA Scot Childress T 5:10pm-6pm SPR 2360 TA Office Hours
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`Prerequisites: MATH010A AND MATH010B AND MATH046 AND MATH146A AND MATH146B `
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CATALOG DESCRIPTION:
MATH 146C Ordinary and Partial Differential Equations 4 Lecture, 3 hours; discussion, 1 hour. Prerequisite(s): MATH 010A, MATH 010B, MATH 046, MATH 146A, MATH 146B. Explores boundary value problems for partial differential equations, orthogonal expansions, and separation of variables.

Note: ID required to take an exam

Daily Information

 Class Sections Homework ( * problems due Wednesday following class) M 4/3 10.1 Eigenvalue Problems 10.1/8 W 10.2 Fourier series - definition 10.2/8*, 16*, 18 F 10.3 Fourier series - convergence 10.3/2*, 8* M 4/10 10.4 Fourier series and BVPs 10.3/16* 10.4/18*, 36* W 10.5-6 Heat Eqn for a Rod - ends with constant zero temperature; Eigenfunction Expansion/Separation of Variables 10.5/8* F 10.5- 6 Heat Eqn for a Rod - ends with constant temperature, insulated ends 10.6/2*,13* M 4/17 10.5-10.6 Heat Eqn - convergence issues 10.6/15*, 23* W 10.5-10.6 Heat Eqn - uniqueness, backward equation, external source 10.6/22* F 10.7 Wave equation - d'Alembert's formula 10.7/2*, 6* M 4/24 10.7 Wave equation - Fourier series solutions W 10.7 Wave eq. - Conservation of Energy,Well Posedness, Dispersive Waves 10.7/23* F 10.7 Dispersive Eqs - Dispersion relation, series solutions 10.7/24  2. Find the dispersion relation for the KdV and Boussinesq equations M 5/1 10.8 The Laplace Equation 10.8/2* W 10.8 The Laplace Equation 10.8/11* F 10.8 The Laplace Equation M 5/8 Q&A W Midterm Exam F Solution of Midterm 10.4/39* M 5/15 11.1 & 11.2 Sturm-Liouville BVP 11.2/2*, 6*, 20* W 11.2  Sturm-Liouville BVP 11.2/12*, 16* F 11.3 Non-homogeneous Sturm-Liouville  Pbs 11.3/4* M 5/22 11.3 Nonhomogeneous heat conduction problems 11.3/18*, 20* W 5 Regular singular points -  Euler eqns, Series Solutions 5.4/6*  5.5/4* 5.6/4* F 5.7 & 5.8 Series Solutions near Regular singular points (Bessels's equation) 5.6/13*, Derive Y_o (see 5.8) M 5/29 Memorial Day W 5.8 & 11.5 Bessel's equation and Bessel series expansion 5.6/16*(hint,see 5.8)  5.8/14* F 11.4 Singular Sturm-Liouville Problems M 6/5 11.4 11.4/2* W 11.6 Mean Convergence 11.6/4, 10 F 6/9 Review Practice Problems for Final Exam:   5.5/ 8    5.6/ 4, 6   5.8/2   10.1/4   10.3/4, 6    10.4/15, 16   10.5/8      10.6/12,15,23     10.7/8,9,23     10.8/2,11,14      11.2/4, 16     11.3/2,6,10,19     11.4/4      11.5/7  11.6/5,9 ID required to take the exam

Calendar

 Midterm 05/10/2006 ID required to take the exam Final Exam 06/15/2006 7 to 10 p.m. ID required to take the exam

Attendance

Monday, Wednesday and Friday 4:10pm-5pm WAT 2240. 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.

 Midterm 200 Final exam 400 Total 600 + Bonus  ( more than one letter grade if you work for it! ) HW and Quizzes max of 90 You will have at least A, B, C, D or F if you have correspondingly  > 90%,  80-89%, 65-79 %, 50-64 %  or <  50% out of 600 points.   This scale allows for a curve.  However, the following department policy will be followed. 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).