Contemporary Calculus by Dale Ho

Contemporary Calculus by Dale Hoffman-- section by section

Chapter 0 -- Review and Preview

Chapter 1 -- Functions, Graphs, Limits and Continuity

Chapter 2 -- The Derivative

Chapter 3 -- Derivatives and Graphs

Chapter 3 Learning Outcomes
3.1 Introduction to Maximums & Minimums
3.2 Mean Value Theorem
3.3 f' and the Shape of f
3.4 f'' and the Shape of f
3.5 Applied Maximums & Minimums
3.6 Asymptotes
3.7 L'Hospital's Rule
Chapter 3 Odd Answers

Chapter 4 -- The Integral

Chapter 5 -- Applications of Definite Integrals

Chapter 6 -- Introduction to Differential Equations

Chapter 7 -- Inverse Trigonometric Functions

Chapter 8 -- Improper Integrals and Integration Techniques

Chapter 8 Learning Outcomes
8.0 Introduction Improper Integrals & Integration Techniques
8.1 Improper Integrals
8.2 Integration Review
8.3 Integration by Parts
8.4 Partial Fraction Decomposition
8.5 Trigonometric Substitution
8.6 Trigonometric Integrals
Chapter 8 Odd Answers

Chapter 9 -- Polar, Parametric & Conics

Chapter 9 Learning Outcomes
9.1 Polar Coordinates
9.2 Calculus with Polar Coordinates
9.3 Parametric Equations
9.4 Calculus with Parametric Equations
9.4.5 Bezier Curves
9.5 Conic Sections
9.6 Properties of the Conic Sections
Chapter 9 Odd Answers

Chapter 10 -- Infinite Series & Power Series

Chapter 10 Learning Outcomes
10.0 Introduction to Sequences & Series
10.1 Sequences
10.2 Infinite Series
10.3 Geometric and Harmonic Series
10.3.5 An Interlude and Introduction
10.4 Positive Term Series: Integral & P-Tests
10.5 Positive Term Series: Comparison Tests
10.6 Alternating Sign Series
10.7 Absolute Convergence and the Ratio Test
10.8 Power Series
10.9 RepresentingFunctions with Power Series
10.10 Taylor and Maclaurin Series
10.11 Approximation Using Taylor Polynomials
10.12 Fourier Series
Chapter 10 Odd Answers

Chapter 11 -- Vectors, Lines and Planes in 3D

Chapter 11 Learning Outcomes
11.0 Moving Beyond Two Dimensions
11.1 Vectors in the Plane
11.2 Rectangular Coordinates in Three Dimensions
11.3 Vectors in Three Dimensions
11.4 Dot Product
11.5 Cross Product
11.6 Lines and Planes inThree Dimensions
11.7 Vector Reflections
Appendix -- Sketching in 3D
Chapter 11 Odd Answers

Chapter 12 -- Vector-Valued Functions

Chapter 13 -- Functions of Several Variables

13.0 Introduction to Functions of Several Variables
13.1 Functions of Two or More Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
13.4 Tangent Planes and Differentials
13.5 Directional Derivatives and the Gradient
13.6 Maximums and Minimums
13.7 Lagrange Multiplier Method
13.8 Chain Rule
Chapter 13 Odd Answers

Chapter 14 -- Double and Triple Integrals

Chapter 15 -- Vector Calculus

15.0 Introduction to Vector Calculus
15.1 Vector Fields
15.2 Divergence, Curl and Del in 2D
15.3 Line Integrals
A Message
15.4 Fundamental Theorem of Line Integrals and Potential Functions
15.4.5 Theorems of Green, Stokes and Gauss: Discrete Introdutions
15.5 Green's Theorem
15.6 Divergence and Curl in 3D
15.7 Parametric Surfaces
15.8 Surface Integrals
15.9 Stokes' Theorem
15.10 Gauss/Divergence Theorem
Chapter 15 Odd Answers

Reference Facts: Trigonometry

Reference Facts: Derivatives and Integrals