Vectors

__Chapter 6__

Chapter 6.1 An Introduction to Vectors

Chapter 6.2 Vector Addition

Chapter 6.3 Multiplication of a Vector by a Scalar

Chapter 6.4 Properties of Vectors

Chapter 6.5 Vectors in R2 and R3

Chapter 6.6 and 6.7 Operations with Algebraic Vectors in R2 and R3

Chapter 6.8 Linear Combinations and Spanning Sets

__Chapter 7__

Chapter 7.1 Vectors as Forces

Chapter 7.2 Velocity

Chapter 7.3 The Dot Product of Two Geometric Vectors

Chapter 7.4 The Dot Product of Two Algebraic Vectors

Chapter 7.5 Scalar and Vector and Projections

Chapter 7.6 The Cross Product of Two Vectors

Chapter 7.7 Applications of the Dot Product and Cross Product

Chapter 8.1 Vectors and Parametric Equations of a Line in R2

Chapter 8.2 Cartesian Equation of a Line

Chapter 8.3 Vector, Parametric and Symmetric Equations of a line in R3

Chapter 8.4 Vector and Parametric Equations of a Plane

Chapter 8.5 The Cartesian Equation of a Plane

Chapter 8.6 Sketching Planes in R3

Chapter 9.1 The Introduction of a Line with a Plane and the Intersection of Two Lines

Chapter 9.2 Systems of Equations

Chapter 9.3 The Intersection of Two Planes

Chapter 9.4 The Intersection of Three Planes

Chapter 9.5 The Distance from a Point to a Line in R2 and R3

Chapter 9.6 The Distance from a Point to a Plane

Calculus

__Chapter 1__

* - Please note that we do Chapter 1 a little bit differently than your textbook, so there is not a direct link between handout numbers

and your text for the handouts related to Chapter 1.

Note on Algebraic Techniques for Evaluating Limits

Note on One-Sided Limits and Continuity

Note on Limits as x approaches Infinity

__Chapter 2__

Chapter 2.1 The Derivative Function

Chapter 2.2 The Derivatives of Polynomial Functions

Chapter 2.3 The Product Rule

Chapter 2.4 The Quotient Rule

Chapter 2.5 The Derivatives of Composite Functions

__Chapter 3__

Chapter 3.1 Higher Order Derivatives, Velocity and Acceleration

Chapter 3.2 Minimum and Maximum on an Interval (Extreme Values)

Chapter 3.3 and 3.4 Optimization Problems, including Optimization Problems in Economics and Science

__Chapter 4__

Chapter 4.1 Increasing and Decreasing Functions

Chapter 4.2 Critical Points, Local Maxima, and Local Minima

Chapter 4.3 Vertical and Horizontal Asymptotes

Chapter 4.4 Concavity and Points of Inflection

__Chapter 5__

Chapter 5.1, 5.2 and 5.3 Derivatives of Exponential Functions with Base e; Derivatives of Exponential Functions with More General Bases; Optimization Problems Involving Exponential Functions

__Appendices__

Appendix - Implicit Differentiation

Appendix - Related Rates

__Proofs__

Proof of Derivative of y = sin x

Proof of Derivatives of Exponential (and Related) Functions

__Handouts with Problems__

Logarithm Method of Solving Exponential Equations

__Exam Review__

Calculus and Vectors Exam Review