Harvard University,FAS
Summer 2006

Mathematics Math1b
Summer 2006

Introduction to Functions and Calculus II
and Differential equations

Course Head: Robin Gottlieb

Office: SciCtr 430
Email: gottlieb@math.harvard.edu
Mainpage Syllabus Calendar Homework Exams Supplements Links

Homework

HW Assignment Due Solutions
#1 Stewart 7.1 #1, 4, 6, 16, 27, 32, 34
Integration handout B #1, 3, 6, 7, 8, 9, 10
(download from the supplements page)
Reading: S: 5.1-5.5 and 7.1 (Ignore the part of Ex. 3 that refers to Simpson's Rule.) Read the supplement Gottlieb 27.1 which is available on the supplements page.
June 30 Solutions
#2 Stewart: 7.2 #4, 9, 12, 27 (careful with constants versus variables!), 32, 48
7.3: #1, 22
Stewart 5.5 #10, 14, 24, 30, 32, 33, 34, 36, 49, 62
Integration Handout B: # 4, 5, 13, 14, 19
July 6 Solutions
#3 Stewart 6.1 ( At least one of these won't require parts!)# 8, 10, 13, 17 (many altermatives), 20, 22, 25, 34
6.2 #6
6.3 # 1, 2, 12, 18, 31, 35, 39.
Integration Handout #20, 21, 22
Stewart 7.5 #10.
For the reading in 7.5 read 384-387, no further.
July 12 Solutions
#4 Integration Handout B : #15, 17, 18, 26
Stewart: 7.5 #6, 12(you can eliminate time), 14, 17
7.4 #1, 6, 16
6.6 #2, 8, 9, 22, 41, 42, 44
July 14
#5 Series Handout (download from Supplements page) #1, 2, 3, 4, 5, 6
Stewart: 8.1 #2, 10, 26, 28, 29
8.2 #1, 2, 6, 18, 27, 40
with 8.2 #33 as extra credit for those economists in the class and 8.1 #40 as a challenge problem for those who wish.
July 19
#6 Series Handout: #r7, 10
Read 30.1 from the supplement (It is on the supplements page ) and do
p. 931-932 # 1, 2, 4, 8, 13 (use your work from 2)
Stewart 8.2 #19, 30
July 21
#7
Stewart 8.3 #2, 5, 12, 14, 16, 24, 29, 30, 35, 37 (hint: compare the values of a_n to those of sin(a_n)), 41
8.4 # 5, 6, 8, 9, 20, 22, 39ab
Series Handout #9, 15, 18, 25
July 25




Maths 1b, Summer, 2006, maths1b@fas.harvard.edu, Department of Mathematics, Faculty of Art and Sciences, Summer School, Harvard University