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 5.3 #2, 50; 6.1 #4, 15, 40
Integration handout B #1, 3, 6, 7, 8, 9, 10
(download from the supplements page)
Reading: S: 5.1-5.5 and 6.1 (Omit Ex. 4 and areas enclosed by parametric curves) ; G: 27.1
July 1 Solutions
#2 Stewart: 6.2 #2, 13, 14, 27, 46 (set-up only for 46)
6.3: #1, 3; 6.4 # 4, 12
Integration Handout B: # 4, 5, 12, 13, 14, 15, 18
July 5 Solutions
#3 Stewart 6.5 #6, 10, 12, 16, 18
5.5 #10, 14, 30, 32, 33, 40, 47, 57, 64;
5.6 #9, 20, 23, 28, 32
July 8 Solutions
#4 Integration Handout B : #17, 20, 21, 23, 26 (Extra credit #25)
Stewart: 5.7 #16, 18, 20, 24, 26, 29
5.10 #2, 8, 14, 16, 24, 29 (Extra credit #50)
July 12 Solutions
#5 Series Handout (download from Supplements page) #1, 2, 3, 4, 7
Stewart: 8.1 #1a, 12, 16, 18, 35
8.2 #2, 14, 18, 20, 26, 36, 44a (ignore sentence in parentheses; it is a type - it belongs with part (b)!) 50
with #43 as extra credit for those economists in the class.
July 18 Solutions
#6 Series Handout: #8, 10, 11
Read 30.1 from the supplement (It is on the supplements page now)) and do
p. 931-932 # 1, 2, 4, 8, 13 (use your work from 2), 15, 20
Plus, compute the Taylor series generated by cos x about x=0.
July 19 Solutions
#7 Series Handout #9, 13, 14, 15, 18
Stewart 8.3 #2, 5, 14, 20, 24, 26, 37, 39 (use direct comparison)
8.4 # 8, 12, 14, 20, 24, 33
July 22 Solutions
#8 Series handout #17, 18, 20, 21, 22, 23a-d, 25
8.4# 34, 35;
8.5 #10, 14, 16, 20, 28
8.6 #6, 11, 24
July 26 Solutions
#9 8.6: #9, 12, 28;
8.7#2, 16, 18, 24, 34, 37, 42, 49, 52;
8.8#4, 6, ; 8/9 #24
Start trying some practice exams and review problems!
July 29 Solutions
#10 stewart: 7.1 #4, 5, 12; 7.2 #3,4,5,6
Differential Equations handout (see supplements page) #1, 4, 5, 7
August 3
Wed. due to the exam on Monday
Solutions
#11 Differential Equations Handout # 8, 9, 10, 11, 12
Stewart: 7.3 # 7, 12, 14, 34, 38
7.3 #14, 16 (see p. 529)
Supplement 31.3 # 1b, 2, 3, 6, 16, 22.
August 5 Solutions
#12 Differential Equations Handout #13, 14, 15, 17, 18
Stewart: 7.6 #2
August 9 Solutions
#13 Differential Equations Handout #21, 22, 23, 26, 27, 28
Supplement p. 1050 #12, 14, 16, 17
August 12 Solutions
#14 Study for the final Solutions




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