Calculus Volume 1 Textbook, Test Bank
By QuizOver.com
Calculus is designed for the everyday two- or three-semester basic calculus course, incorporating innovative options to boost pupil studying.
The e-book guides students by way of the core ideas of calculus and helps them perceive how those ideas apply to their lives and the world round them.
Due to the comprehensive nature of the fabric, we are providing the e-book in three volumes for flexibility and efficiency.
Volume 1 covers features, limits, derivatives, and integration.
* Complete Textbook by OpenStax
* Multiple Choices Questions (MCQ)
* Essay Questions Flash Cards
* Key-Terms Flash Cards
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1. Functions and Graphs
Introduction
1.1. Review of Functions
1.2. Basic Classes of Functions
1.3. Trigonometric Functions
1.4. Inverse Functions
1.5. Exponential and Logarithmic Functions
2. Limits
Introduction
2.1. A Preview of Calculus
2.2. The Limit of a Function
2.3. The Limit Laws
2.4. Continuity
2.5. The Precise Definition of a Limit
3. Derivatives
Introduction
3.1. Defining the Derivative
3.2. The Derivative as a Function
3.3. Differentiation Rules
3.4. Derivatives as Rates of Change
3.5. Derivatives of Trigonometric Functions
3.6. The Chain Rule
3.7. Derivatives of Inverse Functions
3.8. Implicit Differentiation
3.9. Derivatives of Exponential and Logarithmic Functions
4. Applications of Derivatives
Introduction
4.1. Related Rates
4.2. Linear Approximations and Differentials
4.3. Maxima and Minima
4.4. The Mean Value Theorem
4.5. Derivatives and the Shape of a Graph
4.6. Limits at Infinity and Asymptotes
4.7. Applied Optimization Problems
4.8. L’Hôpital’s Rule
4.9. Newton’s Method
4.10. Antiderivatives
5. Integration
Introduction
5.1. Approximating Areas
5.2. The Definite Integral
5.3. The Fundamental Theorem of Calculus
5.4. Integration Formulas and the Net Change Theorem
5.5. Substitution
5.6. Integrals Involving Exponential and Logarithmic Functions
5.7. Integrals Resulting in Inverse Trigonometric Functions
6. Applications of Integration
Introduction
6.1. Areas between Curves
6.2. Determining Volumes by Slicing
6.3. Volumes of Revolution: Cylindrical Shells
6.4. Arc Length of a Curve and Surface Area
6.5. Physical Applications
6.6. Moments and Centers of Mass
6.7. Integrals, Exponential Functions, and Logarithms
6.8. Exponential Growth and Decay
6.9. Calculus of the Hyperbolic Functions
Table of Integrals
Table of Derivatives
Review of Pre-Calculus
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