1.1 Rationalizing Denominators

1.2 Slope of a Tangent

1.3 Rates of Change

1.4 Limits of a Function

1.5 Properties of a Limit

1.6 Continuity

2.1 Derivative of a Function

2.2 Derivatives of Polynomial Functions

2.3 The Product Rule

2.4 The Quotient Rule

2.5 The Chain Rule

3.1 Higher Order Derivatives

3.2 Maxima and Minima on an Interval

3.3 Optimization

4.1 Increasing and Decreasing Functions

4.2 Critical Points and Local Extrema

4.3 Horizontal and Vertical Asymptotes

4.4 Points of Inflection

4.5 Curve Sketching

5.1 Derivatives of Sine and Cosine Functions

5.2 Derivative of Tan Functions and Application Problems

5.3 Derivative of the Natural Exponent

5.4 Derivative of the General Exponent

5.5 Implicit Differentiation

5.6 Integration

6.1 Introduction to Vectors

6.2 Addition of Vectors

6.3 Multiplication of a Vector by a Scalar

6.4 Vector Components and Application Problems

7.1 Cartesian Vectors in 2D

7.2 Cartesian Vectors in 3D

7.3 Geometric Dot Product

7.4 Algebraic Dot Product

7.5 Scalar and Vector Projections

7.6 The Cross Product

7.7 Applications of the Dot and Cross Products

8.1 Vector and Parametric Equations of a Line

8.2 Cartesian Equation of a Line

8.3 Vector and Parametric Equations of a Plane

8.4 Cartesian Equation of a Plane

8.5 Sketching Planes

9.1 Intersection of Lines

9.2 Intersection of Planes

9.3 Intersection of Lines and Planes

9.4 Distance from a Point to a Line

9.5 Distance from a Point to a Plane