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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

 

 
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Last updated: 2017 November 19