1.1 Radical Expressions Rationalizing Denominators

1.2 The Slope of a Tangent

1.3 Rates of Change

Mid Chapter Review Rates of Change

1.4 Limit of a Function

1.5 Properties of Limits

1.6 Continuity

Chapter Review Limits and Continuity

Chapter Test

2.1 The Derivative Function

2.2 The Derivatives of Polynomial Functions

2.3 The Product rule

2.4 The Quotient Rule

2.5 Derivative of Composite Functions

Chapter Review Derivative Rules

Chapter Test

3.1 High Order Derivatives, Velocities, and Acceleration

3.2 Max and Min on a Interval

3.3 Optimization Problems

3.4 Optimization in Economics and Science

Chapter Review Optimization

Chapter Test on Optimization

4.1 Increasing and Decreasing Functions

4.2 Critical Points, Local Maxima, Local Minima

4.3 Vertical and Horizontal Asymptotes

Graphing Mid Chapter Review

4.4 Concavity and Points of Inflection

4.5 An Algorithm for Curve Sketching

Chapter Review Curve Sketching

Chapter Test Graphing

5.1 Derivatives of Exponential Functions, y=e^x

5.2 Derivative of y =b^x

5.3 Optimization Problems Involving Exponential Functions

5.4 The Derivatives of sinx and cosx

5.5 Derivative of tan(x)

5.6 Chapter Review Log and Trig Functions

Chapter Test on Logs and Trig Derivatives

Cumulative Calculus Review

6.0 Chapter Pre Req. Review of Trig

6.1 An Introduction to Vectors

6.2 Vector Addition

6.3 Multiplication of a Vector by a Scalar

6.4 Properties of Vectors

6.5 Vectors in 2D and 3D

6.6 Operations with Algebraic Vectors in 2D

6.7 Operation with Vectors in 3D

6.8 Linear Combination and Spanning Sets

Introduction to Vectors Chapter Review

7.1 Vectors as Forces

7.2 Vectors as Velocity

7.3 The Dot Product of Two Geometric Vectors

7.4 The Dot Product of Algebraic Vectors

Mid Chapter Review

7.5 Scalar and Vector Projections

7.6 The Cross Product of Two Vectors

7.7 Applications of Dot and Cross Product

Applications of Vectors Chapter Review

8.1 Vector and Parametric Equations of a Line in 2D

8.2 Cartesian equation of a Line

8.3 Vector, Parametric and Symmetric Equations of a line in 3D

8.4 Vector and Parametric Equations as Plane

8.5 The Cartesian Equation of a Plane

8.6 Sketching Planes in 3D

8.7 Mid Chapter Review

Chapter Review

Chapter Test

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

9.2 System of Equations

9.3 The Intersection of Two Planes

9.4 The Intersection of Three Planes

9.5 The Distance from a Point to a Line in R2

9.6 The Distance from a Point to a Plane

Relations between Points, Lines and Planes Chapter Review

Relations between Points, Lines and Planes Test

Vectors Cumulative Review

10.1 Implicit Differentiation

10.2 Related Rates

10.3 Derivative of Natural Logs

10.4 Derivative of Log Functions

10.5 Derivative of Log or Exponent that Requires Implicit