| Anne
Arundel Community College
Calculus & Analytical Geometry II, Math 192
Course Description (from the College):
Learn numerical and analytical techniques for integration and apply these
techniques to solve problems involving definite integrals. Other topics
include solving separable differentiable equations, extending the concepts
of calculus to polar and parametric forms, using Taylor polynomials to
approximate functions, and determining the convergence or divergence of
improper integrals, infinite sequences and infinite series. Prerequisite:
MAT 191 or equivalent. Note: Also offered as MAT 192H; credit is not given
for both MAT 192 and MAT 192H. 4 credit hours. *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 A/B -- Tuesday, October 4th
study guide/study
guide key/exam key
Exam II -- Tuesday, October 25th
study guide/study
guide key/exam key
Exam III -- Tuesday, November 29th 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 Office: Mathematics 231J
My AACC voicemail: (410) 777-1264
My AACC email: bjmccall@aacc.edu
Office Hours: M 3:30-5, T 6-7, W 4-5, Th 4:30-7
Answer
Keys
Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4A/B --
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
Supplemental Homeworks
Homework #1
Homework #2
Homework #3
Homework #4 --
Table of Integrals
Homework #5
Homework #6
Homework #7 --
Polar Graph Paper
Homework #8
Homework #9
Homework
#10
Homework
#11
Homework
#12
Homework
#13
Homework #14
MatLab/Maple/Excel Labs
Lab #1 --
Code
Lab #2 --
Code
Lab #3 --
Code
Lab #4 -- Code
Lab #5 --
Code --
M-File
Lab #6 --
Code
Lab #7 --
Code
Lab
#8 --
Code
Lab #9 --
Code
Lab #10 --
Code
Lab Alternate --
Code
How to Access
MatLab
Projects
Solids of Revolution Project
In-class Group Work
Integration Practice Group Work
Series Group Work
#1
Series Group Work
#2
Series Group Work
#3
Series Group Work
#4
Work Group
Work
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
Calculus II at CSCC
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