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 have posted the semester's homework from Corral. I may
supplement additional homework exercises from Guichard if we
need more practice.
Primary textbook
Elementary Calculus,
Michael Corral, 2020
Link to free PDF download
mecmath - Elementary
Calculus
The page numbers are what you enter in your
PDF reader.
Each printed page number is the given page minus 10.
Secondary textbook
Calculus: Early
Transcendentals-WebAssign Access
James Stewart, 9th edition, Cengage
see Canvas for details
Supplementary textbook
Single Variable Calculus: Early
Transcendentals, David
Guichard
Link to free PDF download
calculus.pdf
(whitman.edu)
1 The Derivative
1.1
Introduction
page 16: 2, 5
1.2 The Derivative: Limit
Approach
page 24: 1, 3, 5, 7, 9
1.3 The Derivatives:
Infinitesimal Approach
page 30: 1, 5, 6, 13
1.4 Derivatives of Sums,
Products and Quotients
page 36: 1, 5, 11, 13
1.5 The Chain Rule
page 40: 1, 5, 9, 17
1.6 Higher Order
Derivatives
page 45: 1, 3, 7, 9
2
Derivatives of Common Functions
2.1
Inverse Functions
page 50: 1, 3, 5
2.2 Trigonometric Functions
and Their Inverses
page 54: 1, 4, 5, 15
2.3 The Exponential and
Natural Logarithm Functions
page 62: 1, 5, 7, 9, 13, 17, 19
2.4 General Exponential and
Logarithmic Functions
page 65: 1, 3, 5, 7
3 Topics in
Differential Calculus
3.1 Tangent Lines
page 71: 1, 5, 11, 15, 23, 27
3.2 Limits: Formal
Definition
page 82: 1, 3, 5, 7, 13
3.3 Continuity
page 88: 1, 5, 15, 25, 29
3.4 Implicit Differentiation
page 91: 1, 7, 13, 14
3.5 Related Rates
page 93: 1, 3, 6, 10
3.6 Differentials
page 98: 1, 3, 5, 9
4
Applications of Derivatives
4.1 Optimization
page 108: 1, 3, 7, 13, 17
4.2 Curve Sketching
page 118: 1, 3, 9
4.4 The Mean Value Theorem
page 132: 1, 5, 7, 18
5 The
Integral
5.1 The Indefinite Integral
page 141: 1, 5, 9, 13, 17
5.2 The Definite Integral
page 149: 1, 3, 7
5.3 The Fundamental Theorem
of Calculus
page 155: 1, 4, 7, 11, 12, 13
5.4 Integration by
Substitution
page 160: 1, 3, 5, 15, 23, 27
7 Analytic
Geometry and Plain Curves
7.5 Hyperbolic Functions
page 246: 1 (for sinh (-x)), 12, 21, 27
8 Applications of
Integrals
8.1 Area Between Curves
page 266: 1, 5, 7, 9
8.2 Average Value of a
Function
page 271: 1, 4, 7, 10
Page revised 01/17/25
Contact Dr. Goral at dgoral@nvcc.edu