35.00$
Table of Contents
1. Functions
1.1 Review of functions
1.2 Representing functions
1.3 Trigonometric functions and their inverses
Review
2. Limits
2.1 The idea of limits
2.2 Definitions of limits
2.3 Techniques for computing limits
2.4 Infinite limits
2.5 Limits at infinity
2.6 Continuity
2.7 Precise definitions of limits
Review
3. Derivatives
3.1 Introducing the derivative
3.2 Rules of differentiation
3.3 The product and quotient rules
3.4 Derivatives of trigonometric functions
3.5 Derivatives as rates of change
3.6 The Chain Rule
3.7 Implicit differentiation
3.8 Derivatives of inverse trigonometric functions
3.9 Related rates
Review
4. Applications of the Derivative
4.1 Maxima and minima
4.2 What derivatives tell us
4.3 Graphing functions
4.4 Optimization problems
4.5 Linear approximation and differentials
4.6 Mean Value Theorem
4.7 L'Hôpital's Rule
4.8 Newton's method
4.9 Antiderivatives
Review
5. Integration
5.1 Approximating areas under curves
5.2 Definite integrals
5.3 Fundamental Theorem of Calculus
5.4 Working with integrals
5.5 Substitution rule
Review
6. Applications of Integration
6.1 Velocity and net change
6.2 Regions between curves
6.3 Volume by slicing
6.4 Volume by shells
6.5 Length of curves
6.6 Surface area
6.7 Physical applications
6.8 Hyperbolic functions
Review
7. Logarithmic and Exponential Functions
7.1 Inverse functions
7.2 The natural logarithm and exponential functions
7.3 Logarithmic and exponential functions with general bases
7.4 Exponential models
7.5 Inverse trigonometric functions
7.6 L'Hôpital's rule and growth rates of functions
Review
8. Integration Techniques
8.1 Basic approaches
8.2 Integration by parts
8.3 Trigonometric integrals
8.4 Trigonometric substitutions
8.5 Partial fractions
8.6 Other integration strategies
8.7 Numerical integration
8.8 Improper integrals
Review
9. Differential Equations
9.1 Basic ideas
9.2 Direction fields and Euler's method
9.3 Separable differential equations
9.4 Special first-order differential equations
9.5 Modeling with differential equations
Review
10. Sequences and Infinite Series
10.1 An overview
10.2 Sequences
10.3 Infinite series
10.4 The Divergence and Integral Tests
10.5 The Ratio, Root, and Comparison Tests
10.6 Alternating series
Review
11. Power Series
11.1 Approximating functions with polynomials
11.2 Properties of power series
11.3 Taylor series
11.4 Working with Taylor series
Review
12. Parametric and Polar Curves
12.1 Parametric equations
12.2 Polar coordinates
12.3 Calculus in polar coordinates
12.4 Conic sections
Review
Category : Higher Education
Instalant Download Calculus for Scientists and Engineers, Single Variable by William L. Briggs, University of Colorado, Denver Lyle Cochran, Whitworth University Bernard Gillett, University of Colorado, Boulder with Paypal
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