M 427K. Advanced Calculus for Applications I.
Unique #55975, Fall 2012

Instructor

Prof. Todd Arbogast
E-Mail: arbogast@math.utexas.edu
Office: RLM 11.162, Phone: 471-0166
Office hours: WF 11:00-12:20 p.m.

Teaching Assistant

Mr. Jim Delfeld
E-mail: jdelfeld@math.utexas.edu
Office: RLM 10.146, Phone: 475-9149
Office hours: TTh 3:30-5:00

Miscellaneous

Software

Java-based tool for a direction field and phase plot
Matlab code (Copyright (c) 2003 John C. Polking, Rice University):
    dfield8.m       pplane8.m       odesolve.m
Matlab code example of Euler's method
    exForwardEuler.m       forwardEuler.m       f.m
Matlab fs1.m and fs2.m examples of Fourier Series
Octave o_fs1.m and o_fs2.m examples of Fourier Series
Matlab heat1.m and heat2.m examples of heat equation solutions
Matlab wave.m example of the wave equation

Putnam Competition

The Putnam is a nationwide mathematics competition open to all undergraduates. You can win a graduate fellowship to Harvard University! The questions are very fun -- but very challenging. Here is a sample:
How many primes are there whose usual base-10 representation is a strictly alternating sequence of 1's and 0's? (Example: 101)
We will have practice sessions for the Putnam exam every Thursday this semester, 5:30-7:00 p.m. in RLM 10.176, starting Thursday, September 13. We will provide a steak dinner for everyone. Just kidding! But we do provide pizza for sustenance. The contest itself will be December 1. For more information or to register for the competition, please see Dave Rusin, RLM 9.140.


Overhead Pages from Lectures

Aug29.pdf   Aug31.pdf   Sep5.pdf    Sep7.pdf    Sep10.pdf   Sep12.pdf   Sep17.pdf   Sep19.pdf   Sep21.pdf   Sep24.pdf   Sep26.pdf  
Oct1.pdf    Oct3.pdf    Oct5.pdf    Oct8.pdf    Oct10.pdf   Oct12.pdf   Oct15.pdf   Oct17.pdf   Oct19.pdf   Oct22.pdf   Oct24.pdf   Oct29.pdf   Oct31.pdf
Nov2.pdf    Nov5.pdf    Nov7.pdf    Nov9.pdf    Nov12.pdf   Nov14.pdf   Nov19.pdf   Nov21.pdf   Nov26.pdf   Nov28.pdf   Nov30.pdf   Dec3.pdf    Dec5.pdf    Dec7.pdf


Homework Exercises, Quizzes, and Exams

Instructor office hours 11:00-12:00 on F 12/7.

Final Exam. Wednesday, December 12, 9:00-12:00 noon in UTC 2.102A. Comprehensive coverage of the entire course. You may use a single page of notes on this exam (both sides). A table of Laplace transforms will be available (no calculators allowed).
Instructor office hours 9:00-11:00 on M 12/10 and 1:30-3:30 on Tu 12/11.


Problem Set 11, Thursday 12/6.
Practice: §10.5 # 1, 22, 23;    §10.6 # 2, 4, 15;    §10.7 # 4(a), 7, 9, 10(a), 15;    §10.8 # 1(a,b), 5, 6, 10
Due: §10.5 # 4, 10;    §10.6 # 12(a,b);    §10.7 # 9

Problem Set 10, Thursday 11/29.
Practice: §7.5 # 15, 16, 18, 19, 20, 29, 31;    §7.6 # 3, 15, 22, 25;    §10.1 # 2, 5, 10;    §10.2 # 1, 3, 10, 15, 20;    §10.3 # 1, 13, 14;    §10.4 # 2, 5, 6, 10, 17, 31
Due: §7.5 # 4;    §7.6 # 9;    §10.1 # 8;    §10.3 # 2;    §10.4 # 16

Problem Set 9, Tuesday 11/20.
Practice: §7.1 # 4, 5;    §7.2 # 24;    §7.3 # 13, 16, 19;    §7.4 # 5
Due: §7.2 # 22;    §7.3 # 21

Exam 3. F 11/16 Covering §5.3 to §5.5 and §6.1 to §6.6. A table of Laplace transforms will be available (no calculators allowed).
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 79.7     St. Dev. 17.0     Median 84

Problem Set 8, Th 11/8.
Practice: §6.3 # 9, 14, 17, 19;    §6.4 # 8, 11;    §6.5 # 2, 10, 16;    §6.6 # 1, 3, 7, 8, 15, 19, 22;    §7.2 # 1;    §7.3 # 1, 3, 7
Due: §6.4 # 2(a);    §6.5 # 4(a);    §6.6 # 9, 14

Problem Set 7, Th 11/1.
Practice: §5.3 # 10;    §5.4 # 4, 6, 17;    §5.5 # 1, 2, 8, 13;    §6.1 # 1, 6, 11;    §6.2 # 1, 7, 14, 17, 24
Due: §5.3 # 12;    §5.4 # 11;    §5.5 # 16;    §6.1 # 5;    §6.2 # 16

Exam 2.
Friday October 26 in class, covering the material of §3.1 to §5.2 (but skipping §3.8 and §4.3). There will be no questions specifically on §3.7. Calculators are not allowed on this exam.
    A-     84
    B-     72
    C-     60
    D-     48
    Mean 73.1     St. Dev. 18.8     Median 73

Problem Set 6, Th 10/18.
Practice: §4.4 # 2, 7, 17;    §5.1 # 2, 7;    §5.2 # 8, 14, 19;    §5.3 # 3, 6, 11
Due: §4.2 # 20;    §4.4 # 1;    §5.1 # 23;    §5.2 # 6

Problem Set 5, Th 10/11.
Practice: §3.5 # 13, 28;    §3.6 # 2, 14, 28;    §3.7 # 2;    §4.1 # 2, 7, 8, 18;    §4.2 # 2, 11, 15, 17, 37
Due: §3.5 # 3;    §3.6 # 9, 29;    §3.7 # 7

Problem Set 4, Th 10/4.
Practice: §3.1 # 28;    §3.2 # 4, 8, 9, 14, 22, 25, 28;    §3.3 # 1, 6, 11, 21, 29;    §3.4 # 4, 13, 16, 19, 23;    §3.5 # 4, 6, 13
Due: §3.1 # 4;    §3.2 # 2;    §3.3 # 19;    §3.4 # 6, 26

Exam 1.
Friday, September 28 in class, covering material up to and including §2.7. Calculators are not allowed on this exam.
    A-     90
    B-     80
    C-     70
    D-     60
    Mean 87.7     St. Dev. 11.9     Median 91.5

Problem Set 3, Th 9/20.
Practice: §2.5 # 7;    §2.6 # 3, 8, 17, 18, 19, 23, 24, 27;    §3.1 # 5, 13, 10, 12, 20, 27
Due: §2.5 # 11;    §2.6 # 10, 26;    §2.7 # 1(a)

Problem Set 2, Th 9/13.
Practice: §2.2 # 3, 6, 12, 17, 23, 30;    §2.4 # 2, 8, 11, 18, 27;    §2.5 # 3, 14, 16, 17
Due: §2.1 # 21;    §2.2 # 4;    §2.4 # 5, 22

Problem Set 1, Th 9/6.
Practice: §1.2 # 1, 4, 5, 8, 17;    §1.3 # 2, 5, 14, 25;    §2.1 # 4, 14, 24, 31, 32
Due: §1.2 # 13;    §1.3 # 10;    §2.1 # 19, 30

Problem Set 0, Th 8/30.
Practice: §1.1 # 4, 9, 14, 15, 20, 23
Due: None