Instructor: 
Monty (or William)
McGovern
Office: Padelford C450; TA office Padelford C115 Phone: 2065431149 Email: mcgovern@math.washington.edu Office Hours: MWF 12:30 and by appointment; TA office hours: Th 12:302:30 
Lectures: 
MondayFriday, 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. 
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 lettersized 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 threequarter 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 . 
Due:  Problems: 
Sep 27 
Exercises 1.2.79; 1.3.10,20,30; 1.4.65: review 1.24, read 11.1, in the text. 
Oct 4 
show that (n choose k) = (n1 choose k1) + (n1 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, 2.14, 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: 2.4.1113; 2.5.12,14,16,18; 2.6.29,30; 3.1.59; 3.5.2932: finish Chapter 3, omitting 3.4; midterm through 3.5 plus Inverse Function Theorem, Appendix B13 
Oct 25 
3.7.55,58; 4.1.14; 4.3.31,35: read 4.17, skim 4.8,9,11

Nov 1 
work out and prove by induction on n a formula for (fg)^(n), the nth derivative of the product of two functions f,g; 4.1.45; 4.12.11; 5.2.31; 5.3.21: read 5.13 
Nov 8 
5.2.16; 5.3.25,31; 5.7.20; 5.8.8,9: read 5.49,6.13 
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 9.13 
Nov 27

study problems, this week: 10.1.29; 10.3.29,31; 10.4.14,24: read 10.14 
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 10.14 