Applied Calculus I

MTH 261-005N

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.



Chapter 1: Review
Section 1: Functions
page 15: 1, 3, 5, 7, 19, 25

Section 2: Operations on Functions
page 27: 1, 5, 9, 21, 27, 29, 33, 51

Section 3: Linear Functions
page 40: 1, 3, 13, 17, 29, 31

Section 4: Exponents
page 45: 1, 7, 13, 17, 23

Section 5: Quadratics
page 49: 1, 7, 11, 13

Section 6: Polynomials and Rational Functions
page 58: 1, 3, 13, 15, 19, 23, 27

Section 7: Exponential Functions
page 66: 1, 3, 5

Section 8: Logarithmic Functions
page 72: 1, 3, 5, 7, 9, 13, 21, 27, 31


Chapter 2: The Derivative
Precalculus Idea: Slope and Rate of Change

Section 1: Limits and Continuity
page 78: 1, 5, 7, 9

Section 2: The Derivative
page 92: 1, 5, 7, 11, 13, 15, 19, 21, 25

Section 3: Power and Sum Rules for Derivatives
page 105: 1, 3, 7, 9, 11, 12

Section 4: Product and Quotient Rules
page 112: 1, 4, 5, 7, 9, 10

Section 5: Chain Rule
page 121: 1, 3, 7, 9, 13

Section 6: Second Derivative and Concavity
page 126: 1, 5, 7, 9, 15 17, 21

Section 7: Optimization
page 139: 1, 3, 7, 9, 11, 12, 13, 15, 23
 
Section 8: Curve Sketching
page 146: 1, 11, 13

Section 9: Applied Optimization
page 154: 3, 4, 7, 17

Section 10: Other Applications
page 160:  1, 3, 5, 7

Section 11: Implicit Differentiation and Related Rates
page 165:  1, 3, 7, 11, 17, 21
  

Chapter 3: The Integral

PreCalculus Idea – The Area of a Rectangle

Section 1: The Definite Integral
page 177: 1, 3, 5, 7, 13, 17, 21, 23, 27, 29, 31

Section 2: The Fundamental Theorem and Antidifferentiation
page 189: 1, 3, 7, 9

Section 3: Antiderivatives of Formulas
page 196: 1, 5, 7, 9, 11, 15, 17, 21

Section 4: Substitution
page 202: 1, 3, 5, 7, 9, 11

Section 6: Area, Volume, and Average Value (Area only)
page 213: 1, 3, 5, 7, 11

Section 7: Applications to Business
page 220: 1, 3, 5, 9

Page revised 05/28/21

Contact Dr. Goral at dgoral@nvcc.edu

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