Concepts of Calculus with Applications Bank Test Questions

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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

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