Columbus
State Community College Calculus &
Analytical Geometry II, Math 152
Course Description (from the College):
Introduction to
integral calculus: antiderivatives, definite integral, area under a curve,
Fundamental Theorem of Calculus, integration of exponential, logarithmic,
trigonometric, inverse trigonometric and hyperbolic functions, volume and
surface area of solids of revolution, arclength, and methods of
integration. Also includes L’Hôpital’s
Rule and Improper Integrals. Applications to problems in
science and engineering.
Prerequisite: Math 151 with a grade of C or better. *Files
on this page are mostly in .docx format. If you have difficulty
downloading them, see instructions linked in the left margin.
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Monday, October 17th
study guide/study
guide key/exam key
Exam II -- Wednesday, November 9th
study guide/study
guide key/exam key
Exam III -- Monday, November 28th study
guide/study guide key/exam key even
odd (question
#1)
Final Exam -- Wednesday, March 16th at 2:00
p.m.
study guide/study
guide key/exam key even
odd
more detailed schedule in the syllabus
Email List
via Blackboard
Grade
Calculator -- javascript online grade calculator
Announcements:
Math Adjunct Office # DH 431
My CSCC email: bmccall2@cscc.edu
Calc & Stat Lab: M-Th 1-6 (roughly), MWTh Room is TBA (check the schedule
outside the algebra lab DH 313). Additional hours may be available
at other campuses, or in the algebra lab before or after calc lab hours
(check for tutors who also work the calc lab).
Answer
Keys
Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4 -- key
Quiz #5 -- key
Quiz #6 -- key
Quiz #7 -- key
Quiz #8 -- key
Quiz #9 -- key
Quiz #10 -- key
Homeworks to be
Turned in
Homework
#1
Homework #2
Homework
#3
Homework
#4
Homework
#5
Suggested Homework 5.1 #15-44
odd, 53
5.2 #7-22 odd, 67-72 odd
5.3 #3-8, 15-44 odd, 59, 61
5.4 #5-62 odd, 87-106 odd
5.5 #7-34 odd, 55-71 odd, 117-122 odd, 137-140
5.6 #1-20 odd, 27-38 odd
5.7 #1-24 odd, 29-38 odd, 49-62 odd
5.8 #1-46 odd
5.9 #1-32 odd, 39-56 odd
Application Exercises for
Chapter 5
7.1 #1-48 odd, 81, 82
7.2 #1-40 odd, 61
7.3 #1-3 odd, 5-41 odd
7.4 #3-24 odd, 39-44
7.5 #9-23 odd, 39-41
7.6 #9-30 odd
Application Exercises for
Chapter 7
8.1 #5-50 odd
8.2 #11-36 odd, 65-70
8.3 #5-18 odd, 25-42 odd, 51-64 odd
8.4 #5-46 odd
8.5 #7-28 odd, 41-46
8.6 #21-42 odd
8.7 #11-58 odd
8.8 #5-48 odd, 53-70 odd
Application Exercises for
Chapter 8
6.2 #1-14 odd, 21-24, 33-60 odd
6.3 #1-22 odd, 27-40 odd
Handouts
Definite Integrals
Riemann Sums Methods
answers/key
Partial Fractions
answers/key
Trigonometric Substitution
answers/key
By Parts
answers/key
How do I know when to use
what integration technique? answers/key
Work U-Substitution
Solids of Revolution
Proofs
Antiderivatives 5.1
Summation Formula 5.2.2
(by Mathematical Induction)
Fundamental Theorem of
Calculus (5.9)
Mean Value Theorem for
Integrals (5.10)
The Second Fundamental
Theorem of Calculus (5.11)
Integration of Even and
Odd Functions (5.15)
Integral of p(x) = Ax2
+ Bx + C
(5.17)
Trapezoidal Rule (5.16)
Simpson's Rule (5.18)
Hyperbolic Trig
Functions: Derivatives & Integrals (cosh(x)) (5.22)
Definition of Arc
Length (7.4)
Extended Mean Value
Theorem (8.3)
L'Hôpital's
Rule (8.4) Links:
Programs for Numerical
Methods - TI-83 (pdf) Integral Table
PDF Graph Paper
I Will Derive song How to
draw Greek Spring Quarter
2008 Spring Quarter 2010
Winter Quarter 2011 |