Most material will be provided in the form of lecture notes (slideshows) and handouts. Copies of the textbook will be provided for in-class use and for overnight sign-out. Additional resources may be found online at the following sites:

- Paul Dawkin’s Online Calculus Notes
- University of British Columbia Calculus Notes
- UofW Online Courseware
- Differential Calculus on Khan Academy

### Topics Covered

- Geometric and Algebraic Vectors
- Unit Outline
- Prerequisite Skills
- Vector Basics
- Adding and Subtracting Vectors
- Multiplying Vectors By Scalars
- Forces as Vectors
- Velocities as Vectors
- Resolving Vectors Into Components
- Algebraic Vectors In Two- and Three-Space
- Magnitudes and Direction Angles
- Operations with Algebraic Vectors
- Dot Product
- Cross Product
- Geometric Applications of Dot/Cross Products
- Work and Torque

- Equations and Intersections of Lines and Planes
- Parametric and Vector Equations of Lines in 2-Space | Video Lesson (not mine)
- Symmetric and Scalar Equations of Lines in 2-Space | Video Lesson (not mine)
- Equations of Lines in 3-Space | Video Lesson (not mine)
- Vector and Parametric Equations of Planes | Video Lesson (not mine)
- Scalar Equation of a Plane | Video Lesson (not mine)
- Sketching Planes
- Intersections of Lines in 2-Space
- Intersections of Lines in 3-Space | Video Lesson (not mine)
- Intersections of Lines and Planes | Video Lesson (not mine)
- Solving Linear Systems with 3 Variables
- Solving Linear Systems Using Matrices | Video Lesson (not mine)
- Intersections of Two Planes | Video Lesson (not mine)
- Intersections of Three Planes | Video Lesson (not mine)
- Distance From a Point To a Line/Plane | Video Lesson (not mine)

- Rates of Change and Limits
- Derivative Rules
- Basic Derivative Rules
- Product Rule
- Chain Rule | (Proof)
- Quotient Rule
- Implicit Differentiation
- Higher-Order Derivatives
- Derivatives of Sinusoidal Functions
- Derivatives of Other Trigonometric Functions
- Derivative of the Exponential Function, y=e
^{x} - Derivative of the Natural Logarithmic Function, y=ln(x)
- Derivative of General Exponential and Logarithmic Functions
- Logarithmic Differentiation

- Curve Sketching and Applications of Derivatives