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How to use this page:
- Click the chapter we are working on.
- Review notes/examples as you do homework in an organized handwritten notebook.
- Use review sheets and ask questions, then try test preps to check understanding.
- Use exam review archive before tests working through several old exams.
Reference
Chapter 12 - Vectors and Geometry in 3D
Lecture Outlines and Old Notes:
- 12.1 - Three-Dimensional Coordinate Systems: Lecture Outline | Notes
- 12.2 - Vectors: Lecture Outline | Notes
- 12.3 - Dot Product and Projections: Lecture Outline | Notes
- 12.4 - Cross Product and Area: Lecture Outline | Notes
- 12.5 - Lines and Planes: Lecture Outline | Notes 1 | Notes 2
- 12.6 - Quadric Surfaces: Summary Notes
- TP - Calculus Skills - solns - video
- TP - 12.1 - solns - video
- TP - 12.2-12.4 - solns - video
- TP - 12.4 & 12.5 - solns - video
- TP - 12.5 & 12.6 - solns - video
- TP - Ch 12 - solns - video
Chapter 13 - Curves in 3D and Motion in Space
Lecture Outlines and Old Notes:
- 13.1 - Vector Functions and Space Curves: Lecture Outline | Notes
- 13.2 - Derivatives and Integrals of Vector Functions: Lecture Outline | Notes
- 13.3 - Arc Length and Curvature: Lecture Outline | Notes
- 13.4 - Motion in Space: Lecture Outline | Notes
Chapter 14 - Partial Derivatives and Optimization
Lecture Outlines and Old Notes:
- 14.1 / 14.3 - Functions of Several Variables, Surfaces, Level Curves, and Partial Derivatives: Lecture Outline | Notes
- 14.3 / 14.4 - Tangent Planes and Linear Approximation: Lecture Outline | Notes
- 14.4 / 14.7 - Critical Points and Local Extrema: Lecture Outline | Notes 1
- 14.7 - Global Extrema on Regions: Lecture Outline | Notes 2
Chapter 15 - Double Integrals and Polar Coordinates
Lecture Outlines and Old Notes:
- 15.1 - Double Integrals over Rectangles: Lecture Outline | Notes
- 15.2 - Double Integrals over General Regions: Lecture Outline | Notes
- Polar Coordinates Review: Lecture Outline | Notes
- 15.3 - Double Integrals in Polar Coordinates: Lecture Outline | Notes
- 15.4 - Center of Mass: Lecture Outline | Notes
Taylor Polynomials and Series
Lecture Outlines and Old Notes:
- TN 1 - Tangent Lines and Intro to Error Bounds: Lecture Outline | Notes
- TN 2-3 - Higher Order Taylor Polynomials and Taylor's Inequality: Lecture Outline | Notes
- TN 4 - Taylor Series: Lecture Outline | Notes
- TN 5 - Manipulating Taylor Series: Lecture Outline | Notes
- TP - TN 1-3 - solns - video
- TP - TN 4-5 - solns