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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.

*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

 

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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

 

 
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Last updated: 2011 September 16th