| Northern
Virginia Community College Calculus &
Analytical Geometry II, Math 174
Course Description (from the College):
Continues the study of analytic geometry and the calculus of algebraic and
transcendental functions including rectangular, polar and parametric
graphing, and definite integrals, methods of integration, and power
series, along with applications.
Lecture: 5 hours Prerequisite: MATH 173; 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 -- in Word format
Homework
Important Dates
Exam I a/b-- Tuesday, June 26th (deadline)
practice exam/key/exam key
Exam II -- Tuesday, July 10th (deadline)
practice exam/key/exam key
Exam III -- Tuesday, July 24th (deadline)
practice exam/key/exam key
Final Exam -- Tuesday, August 7th (deadline)
practice exam/key/exam key
more detailed schedule in the syllabus
Email List
via Blackboard
Grade
Calculator -- javascript online grade calculator
Announcements:
Math Office: AA 352
NOVA Math office: 703-845-6220
My NOVA email: bmccall@nvcc.edu
Office Hours: M 7-8 p.m., F 12-1 p.m.
MML Code:
mccall26572 or MCCALL26572
Answer
Keys
Suggested Homework
Homework
#1
Homework
#2
Homework
#3
Homework
#4
Homework
#5
Homework
#6
Homework
#6s
Homework
#7
Homework
#8
Homework
#9
Homework
#10
Homework
#11
Homework
#12
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
Projects
Solids of Revolution Project
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 2018 |
