Contemporary Calculus -- Hoffman

Contemporary Calculus

Dale Hoffman -- L - 200L
dhoffman@bellevuecollege.edu
(425) 564 - 2791

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CONTEMPORARY CALCULUS
Differential Calculus: chapters 1 - 4
5.0 Introduction to Applications
5.1 Volumes
5.2 Length of a Curve
5.3 Work
5.4 Moments and Centers of Mass
5.5 Additional Applications
Chapter 5: Odd Answers
6.0 Introduction to Differential Equations
6.1 Differential Equation y'=f(x)
6.2 Separable Differential Equations
6.3 Growth, Decay and Cooling
Chapter 6: Odd Answers
7.0 Introduction
7.1 Inverse Functions
7.2 Inverse Trigonometric Functions
7.3 Calculus with Inverse Trigonometric Functions
Chapter 7: Odd Answers
8.0 Introduction
8.1 Improper Integrals
8.2 Finding Antiderivatives: A Review
8.3 Integration by Parts
8.4 Partial Fraction Decomposition
8.5 Trigonometric Substitution
Chapter 8: Odd Answers
9.1 Polar Coordinates
9.2 Calculus with Polar Coordinates
9.3 Parametric Equations
9.4 Calculus with Parametric Equations
9.5 Conic Sections
9.6 Properties of the Conic Sections
Chapter 9: Odd Answers
10.0 Introduction
10.1 Sequences
10.2 Infinite Series
10.3 Geometric Series & the Harmonic Series
10.4 Positive Term Series: Integral Test & P-Test
10.5 Positive Term Series: Comparison Tests
10.6 Alternating Sign Series
10.7 Absolute Convergence & Ratio Test
10.8 Power Series
10.9 Representing Functions as Power Series
10.10 Taylor and Maclaurin Series
10.11 Approximation Using Taylor Polynomials
Chapter 10: Odd Answers
11.0 Introduction: 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 in Three Dimensions
12.0 Introduction to Vector-Valued Functions
12.1 Vector-Valued Functions and Curves in Space
12.2 Derivatives & Antiderivatives of Vector-Valued Functions
12.3 Arc Length and Curvature of Space Curves
12.4 Cylindrical & Spherical Coordinate Systems in 3D
Chapter 12: Odd Answers
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
14.1 Double Integrals over Rectangular Domains
14.2 Double Integrals over General Domains
Stuff
How to Succeed in Calculus
Comments to Students

last modified September 6, 2008