Some Syllabus Options
for
Calculus Applied to the Real World
 | Table of Contents for Calculus
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Precalculus and Calculus (Traditional)
Algebra Review (Appendix A)
Functions and Graphs (Chapter 1)
Logarithmic and Exponential Functions (Chapter 2)
Introduction to the Derivative (Chapter 3)
Techniques of Differentiation (Chapter 4)
Applications of the Derivative (Chapter 5)
The Integral (Chapter 6)
Basic Applied Calculus (Traditional)
Functions and Graphs (Chapter 1; Last Section optional)
Logarithmic and Exponential Functions (Chapter 2; here or just before Chapter 4 Section 3)
Introduction to the Derivative (Chapter 3)
Techniques of Differentiation (Chapter 4)
Applications of the Derivative (Chapter 5)
The Integral (Chapter 6)
Further Integration Techniques and Applications of the Integral (Chapter 7)
Functions of Several Variables (Chapter 8)
Applied Calculus With a Focus on Graphing Technology
Algebra Review (Appendix A.1)
Functions and Graphs (Chapter 1)
. . . . .Self-Study or Lab: Appendix B Using a Graphing Calculator Sections 1, 2
Logarithmic and Exponential Functions (Chapter 2)
Introduction to the Derivative (Chapter 3)
. . . . . Self-Study or Lab: Appendix B Section 3
Techniques of Differentiation (Chapter 4)
Applications of the Derivative (Chapter 5)
The Integral (Chapter 6)
. . . . . Self-Study or Lab: Appendix B Section 4
Further Integration Techniques and Applications of the Integral (Chapter 7)
. . . . . Self-Study or Lab: Appendix B Section 5
Applied Calculus With a Focus on Modeling and Graphing Technology
(Reform Calculus)
Functions and Graphs; Using a graphing Calculator (1.1, 1.2, Appendix B)
. . . . . Self-Study or Lab: Appendix B Using a Graphing Calculator Section 1
Linear Functions and Models (1.3, 1.4)
. . . . . Self-Study or Lab: Appendix B Section 2
Quadratic Functions and Models (1.5)
Exponential and Logarithmic Functions and Models (2.1, 2.2, 2.3)
Logistic Models (Chapter 2, "You're the Expert" Section and Exercises)
The Derivative (Chapter 3, 4.1, 4.2, 4.3)
. . . . . Self-Study or Lab: Appendix B Section3
Applications of the derivative (Chapter 5.1, 5.2, 5.6)
. . . . . Self-Study or Lab: Appendix B Section 4
The Integral (6.1-6.6, 7.1, 7.3)
. . . . . Self-Study or Lab: Appendix B Section 5
Functions of Several Variables (8.1-8.5)
Last Updated: July, 1996
Copyright © 1995-1996 HarperCollins Publishers