Math 134A: Honors Accelerated Calculus

Professor Monty (William) McGovern;  TA Julie Zhang
Fall 2019


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Instructor:
Monty (or William) McGovern
Office: Padelford C-450; TA office Padelford C-115
Phone: 206-543-1149
Email: mcgovern@math.washington.edu
Office Hours: MWF 12:30 and by appointment; TA office hours: Th 12:30-2:30
Lectures:
Monday-Friday, 11:30 a.m.-12:20 p.m.,
Required Texts:

Calculus: One and Several Variables by Salas and Hille (10th ed., Wiley, 2007)

Prerequisites:

5 on AP Calculus Exam or the equivalent.

Exams:

1st Midterm: Friday, October 19, in class.
2nd Midterm: Friday, November 15, in class.
Final: Wednesday, December 11, 2:30 p.m. (Note: this is three hours later than our normal starting time.)

Grading:
Your course grade will be based on homework (30%), two midterms (40%), and a final (30%). Assignments will be given weekly (see the schedule below), and all problems turned in will be graded this term. All problems are due at the beginning of class on Friday. If you must miss a test due to illness or emergency, I would very much appreciate advance notice. In all tests you may use two letter-sized pages (one sheet front and back of notes in your own handwriting).
Incompletes and Drops:
The grade of Incomplete will be given ONLY if a student has been doing satisfactory work until the end of the quarter and then misses the final exam for a documented illness, religious reason, or family emergency.
What to Expect:
This is a three-quarter calculus course meant for students who have already studied calculus, at least to the point of being adept at using the fomrulas for computing derivatives and integrals. Because it is an accelerated course and an honors course, it is appropriate only for students with strong enthusiasm and aptitude for mathematics. It is ordinarily open only to students with a score of 5 on the AP Calculus exam, or excellent grades in Math 124 and Math 125. This quarter, we will complete the subject matter of Math 124 and 125, but with a much more theoretical approach. See this link for useful guidelines on homework; also see this link .

             Homework

Due:
Problems:
Sep 27
Exercises 1.2.79; 1.3.10,20,30; 1.4.65: review 1.2-4, read 11.1, in the text.
Oct 4
show that (n choose k) = (n-1 choose k-1) + (n-1 choose k) for all natural numbers n,k; use this to prove the binomial theorem by induction on n; Exercises 1.8.9 (n>1 only); 2.1.22,25: read 1.8, 2.1-4, start 2.5
Oct 11
2.4.52,55; 2.6.25,29; 3.1.46: finish Chapter 2, read Appendix B.1,2, 3.1,2
Oct 18
study problems, first midterm: 2.4.11-13; 2.5.12,14,16,18; 2.6.29,30; 3.1.59; 3.5.29-32: finish Chapter 3, omitting 3.4; midterm through 3.5 plus Inverse Function Theorem, Appendix B-1-3
Oct 25
3.7.55,58; 4.1.14; 4.3.31,35: read 4.1-7, skim 4.8,9,11
Nov 1
work out and prove by induction on n a formula for (fg)^(n), the n-th derivative of the product of two functions f,g; 4.1.45; 4.12.11; 5.2.31; 5.3.21: read 5.1-3
Nov 8
5.2.16; 5.3.25,31; 5.7.20; 5.8.8,9: read 5.4-9,6.1-3
Nov 15
study problems, second midterm: 4.1.20,28; 4.3.40; 5.2.17,25; 5.3.18,27; 5.8.21,23; 7.2.24,25: read 7.1,2, 8.5,6; midterm through Chapter 5
Nov 22
8.5.9,10; 9.1.29,44; 9.2.24: read 9.1-3
Nov 27
study problems, this week: 10.1.29; 10.3.29,31; 10.4.14,24: read 10.1-4
Dec 6
study problems, final: 2.6.18,19; 3.2.51; 4.2.50,51; 5.7.82; 7.3.65; 9.2.15,23; 10.1.31; 10.4.31: review 10.1-4


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