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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
I Will Derive song

 

 
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Last updated: 2008 May 30