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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.
Syllabus -- in Word format
Homework
Important Dates
Exam I -- Wednesday, April 23rd study
guide/study guide key/exam key
Exam II -- Monday, May 12th study
guide/study guide key/exam key
Final Exam -- Monday, June 9th at 6:00 p.m.
study guide/exam
key
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 DH201, T Room DH109
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
Homeworks to be
Turned in 1. 5.1 #38; 5.2 Theorem 5.2 #4 (pg. 296) & 64;
5.3 #62; 5.4 #52, 104, 5.5 #104 Answer key/#62
Excel file
2. 5.6 #20, 34; 5.7 #14, 72; 5.8 #26, 40, 5.9 #54, 7.1 #38
Answer key
3. 7.2 #48; 7.3 #43; 7.4 #30, 52; 7.5 #20,23; 7.6 #12, 26; 8.1 #28; 8.2
#32, 66 Answer key
4. 8.3 #18, 36, 54; 8.4 #28, 40; 8.5 #10, 26, 46; 8.6 #38
Answer Key
5. 8.7 #46, 52; 8.8 #26, 46, 62; 6.2 #42, 6.3 #16, 36
Answer key
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 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)
PDF Graph Paper
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