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Table of Contents
Unit 0: Function Review
Topic 1: Linear and Absolute Value Functions
Topic 2: Non linear Functions
Topic 3: Rational and Piece wise Defined Functions
Topic 4: Regression and Modeling
Unit 0 Review and Test
Unit 1: Limits and Derivatives
Topic 5: Introduction to Limits
Topic 6: Continuity
Topic 7: Rates of Change and Slope
Topic 8: Introduction to the Derivative
Topic 9: Derivatives of Algebraic Functions
Topic 10: Product, Quotient, and Chain Rules
Topic 11: Higher-Order Derivatives
Topic 12: Exponential and Logarithmic Functions
Topic 13: Derivatives of Exponential and Logarithmic Functions
Unit 1 Review and Test
Unit 2: Applications of the Derivative
Topic 14: First Derivative Test and Graphs of Functions
Topic 15: Second Derivative Test and Graphs of Functions
Topic 16: Absolute Extrema
Topic 17: Optimization
Topic 18: Business Applications
Topic 19: Implicit Differentiation and Related Rates
Unit 2 Review and Test
Unit 3: The Integral and its Applications
Topic 20: Anti derivatives and Integrals
Topic 21: More Rules for Integration
Topic 22: Substitution Techniques for Integration
Topic 23: Definite Integrals
Topic 24: Areas and Definite Integrals
Topic 25: Applications of Definite Integrals
Topic 26: Other Methods of Integration
Topic 27: Differential Equations
Unit 3 Review and Test
Unit 4: Multivariable Calculus
Topic 28: Introduction to Functions of More than One Variable
Topic 29: Partial Derivatives
Topic 30: Optimization and LaGrange Multipliers
Topic 31: Double Integrals
Unit 4 Review and Test
APPENDIX
Appendix A: Geometry Formulas
Appendix B: A Brief Table of Integrals
Appendix C: Glossary of Important Terms
Glossary of Important Terms
Answers to Odd-Numbered Topic Exercises
Index
Get Concepts of Calculus with Applications by Martha Goshaw, Seminole Community College
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