M 427K: Advanced Calculus for Applications I (Fall 2012)

• Final Exam Announcements:
  • The exam will be Friday, December 14, 9:00 am-12:00 noon in room JGB 2.216 (the usual classroom).
  • You will be provided with the table of Laplace transforms on page 317 of the textbook.
  • In addition, you are permitted one two-sided sheet of notes (US Letter size paper: 8.5"x11"). The notes must be handwritten, and no photocopying is allowed. No other aids (books, calculators) are permitted.
  • Kenneth Taliaferro will have office hours Monday, Dec. 10, 2:00-4:00 pm and Thursday, Dec. 13, 12:00-2:00 pm.
  • James Pascaleff will have office hours Tuesday, Dec. 11, 2:00-4:00 pm and Wednesday, Dec. 12, 2:00-4:00 pm.
  • Here is a set of practice problems: Final Practice (Solutions). Please not that this set of problems is longer than the actual exam will be.
• The program used in lecture 23 to generate waveforms is called Pure Data (Pd), created by Miller Puckette. The package I used is called Pd-extended.
• There will be No Quiz on Wednesday, November 21.
• James Pascaleff will have extra office hours Friday, November 9, from 2:00-4:00 pm, in preparation for the second exam.
• Due to popular demand, a set of practice problems for the second midterm exam has been posted here: Exam 2 Practice (Solutions). Please note that this list of problems is longer than the exam will be, but the problems on this practice sheet are representative of the problems that will be on the exam.
• James Pascaleff will have extra office hours Monday, October 8 from 12:00-2:00 pm, in light of the exam on Tuesday, October 9.

Lecture

TTh 2:00-3:30 pm in JGB 2.216

Instructor: Dr. James Pascaleff

Email: jpascaleff@math.utexas.edu
JP's Office: RLM 11.166
JP's Office hours: Tuesdays 3:30-5:00 pm & Thursdays 11:00 am-12:30 pm

Problem session

MW 4:00-5:00 pm in PHR 2.108

Teaching Assistant: Kenneth Taliaferro

Email: ktaliaferro@math.utexas.edu
KT's Office: RLM 11.142
KT's Office hours: Mondays & Wednesdays 2:00-4:00 pm
KT's Webpage

Textbook

Elementary Differential Equations and Boundary Value Problems, 9th Edition by William E. Boyce and Richard C. DiPrima.
Note: The textbook is also available as an ebook.

Prerequisite

M 408D, 408L, or 408S with a grade of at least C-.

Homework & Quizzes

Homework problems will be assigned for each lecture.
Quizzes containing problems drawn from the homework will be given weekly in the Wednesday problem session.

Midterm Exams

Tuesday, October 9
Tuesday, November 13

Final Exam

Friday, December 14, 9:00 am-12:00 noon, room JGB 2.216

Grade Weights

Quizzes (lowest 2 dropped)	15%
Midterm Exam 1	25%
Midterm Exam 2	25%
Final Exam	35%

Grade Scale (where x is your score)

A	91 ≤ x < ∞
A-	87 ≤ x < 91
B+	83 ≤ x < 87
B	79 ≤ x < 83
B-	75 ≤ x < 79
C+	70 ≤ x < 75
C	66 ≤ x < 70
C-	62 ≤ x < 66
D+	58 ≤ x < 62
D	54 ≤ x < 58
D-	50 ≤ x < 54
F	-∞ < x < 50

M 427K is a basic course in ordinary and partial differential equations, with Fourier series. It should be taken before most other upper division, applied mathematics courses. The course meets twice a week for lecture and twice more for problem sessions. Geared to the audience primarily consisting of engineering and science students, the course aims to teach the basic techniques for solving differential equations which arise in applications.

The first part of the course is devoted mainly to first and second order ordinary differential equations, with some discussion of higher order equations. Although much of the course focuses on constant coefficient differential equations, power series solutions of equations with ordinary and regular singular points are also covered. The Laplace transform is introduced as a powerful tool for solving equations. The last part of the course covers first order systems (with a bit of linear algebra thrown in), as well as Fourier series and the basic partial differential equations of mathematical physics (heat, wave, Laplace).

We will cover chapters 1 through 7 and 10, in that order. As the semester progresses, changes may be made to this schedule. Also find here the lecture notes and homework problems that go with each lecture.

Homework problems will be assigned corresponding to each lecture. The purpose of these assignments is to learn the material and practice the problem solving techniques. The purpose is not assessment, which is to stay that the homework is not turned in and it is not graded. Please note that the solutions to the majority of the problems from the book are in the back of the book.

However, short quizzes will be given in the problem sessions on Wednesdays. The quiz problems will be drawn directly from the homework assigments from the previous week. If you have done the homework problems, the quiz problems will be ones you have seen before.

This webpage is the definitive source for the homework problems, which are also the possible quiz questions.

The quizzes contribute 15% to the final grade. The two lowest quiz scores are dropped when computing the final grade.

No make-up quizzes will be given, but because the two lowest scores are dropped, you can miss one or two quizzes without penalty.

The two midterm exams will be given in class, at the usual time and location. Each midterm exam is worth 25% of the final grade. The exams are cumulative, but each focuses on one portion of the course. The dates and topics of the exam are:

The final exam covers the entire course, and is worth 35% of the final grade.

• The primary textbook is Elementary Differential Equations and Boundary Value Problems, 9th Edition by William E. Boyce and Richard C. DiPrima. The textbook is also available as an ebook from various websites.
• The program used in lecture 23 to generate waveforms is called Pure Data (Pd), created by Miller Puckette. The package I used is called Pd-extended.
• The MIT Open Course Ware site contains a differential equations course (known at MIT as 18.03), including video lectures by Arthur Mattuck, who is a very talented teacher. The MIT course covers many of the same topics as our course.
• There is an undergraduate computer lab in RLM 7.122, and it is open to all students enrolled in Math courses. Students can sign up for an individual account themselves in the computer lab using their UT EID. These computers have most of the mainstream commercial math software: mathematica, maple, matlab, magma, and an asortment of open source programs.

• You can look at your grades on Quest.
• Quizzes contribute 15% to the final grade. The two lowest quiz scores are dropped.
• Each of the two midterm exams contributes 25%, and the final exam contributes 35%.
• Attendance, in and of itself, does not contribute to the final grade.
• At the discretion of the instructor, the exam scores may be curved to bring them into alignment with following grade scale, which will also be used to assign the final grades.

• 12th class day: Friday, September 14
• Q-drop deadline: Tuesday, November 6
• If you drop a class on or before September 14, the class will not show up on your transcript. If you drop a class after that date, the course will show up on the transcript with a grade of "Q". After Novermber 6, it is not possible to drop a course except for extenuating (usually non-academic) circumstances.

In accordance with UT Austin policy, please notify the instructor at least 14 days prior to the date of observance of a religious holiday. If you cannot complete a homework assignment in order to observe a religious holiday, you will be excused from the assignment. If the holiday conflicts with an exam, you will be allowed to write a make-up exam within a reasonable time.

Students with disabilities may request appropriate academic accommodations from the Division of Diversity and Community Engagement, Services for Students with Disabilities at 471-6259 (voice), 232-2937 (video), or http://www.utexas.edu/diversity/ddce/ssd.

Read the University's standard on academic integrity found on the Student Judicial Services website.