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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, January 26th study guide/study guide key/exam key
Exam II -- Wednesday, February 16th  study guide/study guide key/exam key
Final Exam --  Wednesday, March 16th at 2:00 p.m. study guide/exam key

more detailed schedule in the syllabus

 

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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

+3 Online Quizzes
 

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
Partial Fractions
Trigonometric Substitution
By Parts
How do I know when to use what integration technique?

 

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
How to draw Greek
Math 152 Spring 2008
Spring Quarter 2010

 

 
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Last updated: 2011 January 1