Calculus II

MTH 264-040N

Annandale Campus

Northern Virginia Community College

Dr. Don Goral

Homework for the semester


I do not collect homework, but you must attempt each assigned problem if you hope to pass this course. The homework exercises provide the foundation for quizzes and exams.

I taught this course with the Guichard textbook, with the homework shown below.
I plan to make the Corral textbook as the primary textbook, and keep Guichard as the secondary textbook. Thus, I will update assigned reading and homework exercises accordingly.

Primary TEXTBOOK:
Elementary Calculus, Michael Corral, 2020

Link to free PDF download
mecmath - Elementary Calculus

Secondary TEXTBOOK:
Single Variable Calculus, Early Transcendentals
David Guichard,

https://www.whitman.edu/mathematics/calculus/calculus.pdf


Chapter 4  Transcendental Functions

4.10 Limits Revisited
page 98: 1, 2, 7, 31, 49

Chapter 8 Techniques of Integration

8.2 Powers of Sine and Cosine
page 170: 1, 2, 8, 9

8.3 Trigonometric Substitutions
page 174: 3, 4, 5

8.4 Integration by Parts
page 177: 1, 2, 6

8.5 Rational Functions
page 182: 1, 4, 6

8.6 Numerical Integration
page 187: 1, 6

Chapter 9 Applications of Integration

9.3 Volume
page 203: 3, 5, 6, 10

9.5 Work
page 210: 1, 3, 6

9.6 Center of Mass
page 216: 1, 5, 11

9.7 Kinetic Energy; Improper Integrals
page 220:  1, 2, 5, 6, 9, 13

9.9 Arc Length
page 232: 1, 3, 4, 7

9.10 Surface Area
page 236: 1, 4, 5,  6


Chapter 10  Polar Coordinates, Parametric Equations

10.1 Polar Coordinates
page 242: 2, 4, 9, 13, 19

10.2 Slopes in Polar Coordinates
page: 244: 1, 3

10.3 Areas in Polar Coordinates
page 247: 1, 5, 7 20

10.4 Parametric Equations
page 250: 1, 3, 5

10.5 Calculus with Parametric Equations
page 253: 1, 2, 9

Conic Forms in Polar Form

Supplement to textbook

https://courses.lumenlearning.com/precalctwo/chapter/conic-sections-in-polar-coordinates/


Section Exercises 17, 13, 19, 43




Chapter 11  Sequences and Series

11.1 Sequences
page 262: 1, 2,  3

11.2 Series
page 265: 1, 4, 7

11.3 The Integral Test
page 270: 1, 3, 6, 9

11.4 Alternating Series
page 273: 1, 3, 5 

11.5 Comparison Tests
page 275: 1, 4, 7

11.6 Absolute Convergence
page 277: 1, 2, 3

11.7 The Ratio and Root Tests
page 280: 5, 7, 8

11.8 Power Series
page 283: 1, 2, 5, 6 

11.9 Calculus with Power Series
page 284: 1, 2, 5

11.10 Taylor Series
page 288: 1, 2, 4

11.11 Taylor's Theorem
page 293: 1, 2


Page revised 01/05/21

Contact Dr. Goral at dgoral@nvcc.edu

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