Calculus > eBook-PDF > Calculus & Its Applications, 14e Larry Goldstein, David Lay, David Schneider (eBook PDF) (All)
Calculus & Its Applications, 14e Larry Goldstein, David Lay, David Schneider (eBook PDF)
Document Content and Description Below
0. Functions 0.1 Functions and Their Graphs 0.2 Some Important Functions 0.3 The Algebra of Functions 0.4 Zeros of Functions - The Quadratic Formula and Factoring 0.5 Exponents and Powe... r Functions 0.6 Functions and Graphs in Applications 1. The Derivative 1.1 The Slope of a Straight Line 1.2 The Slope of a Curve at a Point 1.3 The Derivative and Limits 1.4 Limits and the Derivative 1.5 Differentiability and Continuity 1.6 Some Rules for Differentiation 1.7 More About Derivatives 1.8 The Derivative as a Rate of Change 2. Applications of the Derivative 2.1 Describing Graphs of Functions 2.2 The First and Second Derivative Rules 2.3 The First and Section Derivative Tests and Curve Sketching 2.4 Curve Sketching (Conclusion) 2.5 Optimization Problems 2.6 Further Optimization Problems 2.7 Applications of Derivatives to Business and Economics 3. Techniques of Differentiation 3.1 The Product and Quotient Rules 3.2 The Chain Rule 3.3 Implicit Differentiation and Related Rates 4. The Exponential and Natural Logarithm Functions 4.1 Exponential Functions 4.2 The Exponential Function ex 4.3 Differentiation of Exponential Functions 4.4 The Natural Logarithm Function 4.5 The Derivative of ln x 4.6 Properties of the Natural Logarithm Function 5. Applications of the Exponential and Natural Logarithm Functions 5.1 Exponential Growth and Decay 5.2 Compound Interest 5.3. Applications of the Natural Logarithm Function to Economics 5.4. Further Exponential Models 6. The Definite Integral 6.1 Antidifferentiation 6.2 The Definite Integral and Net Change of a Function 6.3 The Definite Integral and Area Under a Graph 6.4 Areas in the xy-Plane 6.5 Applications of the Definite Integral 7. Functions of Several Variables 7.1 Examples of Functions of Several Variables 7.2 Partial Derivatives 7.3 Maxima and Minima of Functions of Several Variables 7.4 Lagrange Multipliers and Constrained Optimization 7.5 The Method of Least Squares 7.6 Double Integrals 8. The Trigonometric Functions 8.1 Radian Measure of Angles 8.2 The Sine and the Cosine 8.3 Differentiation and Integration of sin t and cos t 8.4 The Tangent and Other Trigonometric Functions 9. Techniques of Integration 9.1 Integration by Substitution 9.2 Integration by Parts 9.3 Evaluation of Definite Integrals 9.4 Approximation of Definite Integrals 9.5 Some Applications of the Integral 9.6 Improper Integrals 10. Differential Equations 10.1 Solutions of Differential Equations 10.2 Separation of Variables 10.3 First-Order Linear Differential Equations 10.4 Applications of First-Order Linear Differential Equations 10.5 Graphing Solutions of Differential Equations 10.6 Applications of Differential Equations 10.7 Numerical Solution of Differential Equations 11. Taylor Polynomials and Infinite Series 11.1 Taylor Polynomials 11.2 The Newton-Raphson Algorithm 11.3 Infinite Series 11.4 Series with Positive Terms 11.5 Taylor Series 12. Probability and Calculus 12.1 Discrete Random Variables 12.2 Continuous Random Variables 12.3 Expected Value and Variance 12.4 Exponential and Normal Random Variables 12.5 Poisson and Geometric Random Variables [Show More]
Last updated: 2 years ago
Preview 1 out of 600 pages
Buy this document to get the full access instantly
Instant Download Access after purchase
Buy NowInstant download
We Accept:
Reviews( 0 )
$25.00
Can't find what you want? Try our AI powered Search
Document information
Connected school, study & course
About the document
Uploaded On
Dec 25, 2022
Number of pages
600
Written in
Additional information
This document has been written for:
Uploaded
Dec 25, 2022
Downloads
0
Views
104
