MATH 427K: Advanced Calculus for Applications I

Spring 2008 (Section 58780)

General Information

Instructor: Maria Cristina Caputo (caputo@math.utexas.edu) 471-1167
Office hrs: RLM 11.164, Tu 3:20-4:30 pm, W 2-3 pm or by appointment

Teaching asst: Yingwu Zhao (yzhao@math.utexas.edu) 475-9146
Office hrs: RLM 10.134, M 12:00-3:00 pm, W 12:00-1:00 pm, Th 10-11 am

Text : Elementary Differential Equations and Boundary Value Problems, 8th Edition, by Boyce and DiPrima
Lecture : CPE 2.208, TuTh 2:00-3:30 pm
Discussion : PHR 2.108, MW 3-4 pm
Course webpage: http://www.ma.utexas.edu/users/caputo/M427K.html

Overview

This course will cover a number of elementary topics in the theory of ordinary differential equations: initial value problems, exact and approximate solution techniques, basic existence and uniqueness theorems, fundamental sets of solutions and linear independence, series expansions and Laplace transforms. Topics in boundary value problems, Fourier series and partial differential equations may also be covered as time permits. The course is directed at students in the engineering and physical sciences, and its objective is to expose students to the basic methods for solving differential equations that arise in applications.

Policies

Homeworks: There will be 10 assignments which will be collected during discussion section (see schedule below). You have the option to drop one assignment. The homework will be graded but you will be responsible for knowing the material in the homework, and for being able to apply this knowledge during exams. To determine how well you are doing on the homework, you are encouraged to attend discussion section and ask questions, take advantage of office hours, work in study groups and so on.
Please note, LATE homework will NOT be accepted.



Exams: There will be 3 exams in total. Two of them will be in-class exams. The third exam is comprehensive and will be held during the time and place scheduled by the University for the Final Examination. The tentative dates are

Exam #1 (Feb 19), Exam #2 (Apr 10), Exam #3 NEW!!!(Tuesday, May 13, 2-5PM, BEL 328) .


Exams #1 and #2 will be held during regular class hour. Please bring your valid UT ID card to all exams.


Course grade: Your overall course grade will be determined by your homework and exam grades in the following proportions

Homework (12%), Exam #1 (25%), Exam #2 (25%), Exam #3 (38%).


Grade scale: If necessary, exam grades will be curved to achieve a class average equivalent to 75/100 points or thereabouts. The overall course grade will be based on a standard grading scale (A=100-90%, B=89-80%, C=79-70%, D=69-60%, F=59-0%).


Make-up policy: There will not be make-up exams, except only in very compelling circumstances or when the University requires me to do so. If circumstances beyond your control cause you to miss an exam, please discuss the matter with me as soon as possible. Failure to contact me (by person, phone or email) within 24 hours of missing an exam will eliminate the possibility of any make-up.


Students with disabilities: The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-4641 TTY.


Drop dates: The last day to drop the course without possible academic penalty is February 11, 2008. The last day to drop the course for academic reasons is March 24, 2008. After this, students may go to the Dean's office to appeal for non-academic reasons.

Tentative Schedule

The following table is a tentative class schedule where numbers after the dates correspond to sections in the text. Please be aware that material may be deleted or added.

Tu 15 Jan, 1.1-1.3
Th 17 Jan, 2.1

Tu 22 Jan, 2.2, Assignment #1 due on W 23 Jan, Solutions
Th 24 Jan, 2.4

Tu 29 Jan, 2.6
Th 31 Jan, 2.5,2.7

Tu 05 Feb, 3.1, Assignment #2 due on M 4 Feb Solutions
Th 07 Feb, 3.2-3.3

Tu 12 Feb, 3.4, Assignment #3 due on W 13 Feb Solutions
Th 14 Feb, 3.5

Tu 19 Feb, Exam #1
Th 21 Feb, 3.6-3.7

Tu 26 Feb, 3.6-3.7, NEW!!! Assignment #4 due on M 25 Feb Solutions
Th 28 Feb, 4.1-4.2

Tu 04 Mar, 4.3, Assignment #5 due on W 5 Mar
Th 06 Mar, 5.1

Tu 11 Mar, break
Th 13 Mar, break

Tu 18 Mar, 5.2-5.3, Assignment #6 NEW DATE!!! due on W 19 Mar Solutions for Assign. 5 and Assign. 6
Th 20 Mar, 5.4-5.5

Tu 25 Mar, 5.6, Assignment #7 due on W 26 Mar Solutions for Assign. 7
Th 27 Mar, 6.1-6.2

Tu 01 Apr, 6.3
Th 03 Apr, 6.4-6.5

Tu 08 Apr, 6.6, Assignment #8 due on M 7 Apr Solutions for Assign. 8
Th 10 Apr, Exam #2

Tu 15 Apr,10.1, Assignment #9 due on M 21 Apr( new date!) Solutions for Assign. 9
Th 17 Apr, 10.2

Tu 22 Apr, 10.3
Th 24 Apr, 10.4

Tu 29 Apr, 10.5, Assignment #10 due on W 30 Apr Solutions for Assign. 10
Th 1 May, Review Practice homework