| Columbus
State Community College Calculus &
Analytical Geometry II, Math 1152
Course Description (from the College):
This course continues the introduction to integral calculus. Topics
covered include integration of exponential, logarithmic, trigonometric,
inverse trigonometric functions, volume and surface area of solids of
revolution, arc length, and methods of integration. Course also presents
L’Hopital’s Rule and Improper Integrals. Students will learn to analyze
plane curves given parametrically or in polar coordinates, and their
differential and integral calculus. Students will learn about infinite
sequences and series, their sum and/or convergence, conic sections,
vectors in the plane and in space. Applications to problems in science and
engineering are noted. Not open to students with credit for MATH 1157 and
above.
Lecture: 5 hours Prerequisite: MATH
1151 or MATH 152; minimum grade of “C” *Files
on this page are mostly in .docx format. If you have difficulty
downloading them, see instructions linked in the left margin.
Syllabus (MWF) -- in Word format
Syllabus (TR) -- in Word format
Homework
Important Dates
Exam I (2) -- Monday, February 10th/Tuesday, February 11th
study guide/study
guide key/exam key
Exam II -- Friday, March 7th/Thursday, March 6th
study guide/study
guide key/exam key
Exam III -- Friay, April 18th/Tuesday, April 15th study
guide/study guide key/exam key
Final Exam -- Monday, May 5th at 10:00
a.m./Thursday, May 8th at noon
study guide/study
guide key/exam key
more detailed schedule in the syllabus
Email List
via Blackboard
Grade
Calculator -- javascript online grade calculator
Announcements:
Math Adjunct Office # DH 4
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).
Required MML codes are in the syllabus.
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
Quiz #11 -- key
Quiz #12 -- key
Quiz #13 -- key
Quiz #14 -- key
Quiz #15 -- key
Quiz #16 -- key
Supplemental Homeworks
Homework #2
Homework
#3
Homework
#4
-- from Math 152 (chapters 6-8, some 5)
Homework
#5
Homework
#1
Homework
#2
Homework
#3
Homework
#4
-- from Math 153 (chapters 9-11)
Homework
#5
Homework
#6
Suggested Homework
Application Exercises for
Chapter 7
Application Exercises for
Chapter 8
Chapter 9 Application Problems --
key
Chapter 10 Application Problems --
key
Chapter 11 Application Problems --
key
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
Sequences --
key
Series -- key
Taylor Polynomials
-- key
Taylor Polynomials II --
key
Derivative Tables
Power
Series -- key
Conic
Sections -- key
Polar Coordinates --
key
Homogeneous (First Order) Equations
-- key
Tank/Concentration Problems
-- key
Hyperbolic
Trig Functions -- key
Deriving the Arc Length Formula --
key
Euler's Method --
key
Direction (Slope) Fields --key
Proofs
(the numbers on these proofs are from a previous text)
Definition of Arc
Length (7.4)
Extended Mean Value
Theorem (8.3)
Bounded Monotonic Sequences Converge (9.5)
Convergence of a Geometric
Sequence (9.6)
Limit of the nth Term of a Convergent Sequence/Divergent Sequence (9.8/9.9)
Integral Test (9.10)
P-Series (9.11)
Direct Comparison Test/Limit Comparison (9.12/9.13)
Alternating
Series Test/Alternating Series Remainder (9.14/9.15)
Absolute
Convergence (9.16)
Ratio Test/Root Test (9.17/9.18)
Taylor's
Theorem (9.19)
Convergence of a Power Series (9.20)
Convergent Power
Series (9.22)
Convergence of Taylor Series (9.23)
Parametric Form of
the Derivative (10.7)
Polar Equations of Conics (10.17)
Properties
of Vector Equations (11.1-11.3)
Properties of the Dot Product
(11.4/11.5)
Properties of the Cross Product (11.7/11.8)
Triple
Scalar Product (11.9/11.10)
Distance Between and Point and a Line in
Space (11.14) Links:
Programs for Numerical
Methods - TI-83 (pdf)
Integral Table
PDF Graph Paper
I Will Derive song
How to
draw Greek
Graphing 3D
Parametric Curves
Slope Fields
Spring Quarter
2008 (Math 152)
Spring Quarter 2010
(Math 152)
Winter Quarter 2011 (Math
152)
Fall 2011 (Math 152)
Summer 2010
(Math 153)
Winter 2011
(Math 153) |
