Exams
- Winter 2010 Exam 1
- Fall 2012 Exam 1
- Fall 2015 Exam 1
- Winter 2010 Exam 2
- Fall 2012 Exam 2
- Fall 2015 Exam 2
- Winter 2010 Exam 3
- Fall 2012 Exam 3
- Fall 2015 Exam 3
- Practice Final
- Winter 2010 Final
- Fall 2012 Final
- Fall 2015 Final
Quizzes
-
Coming Soon!...maybe
Assignments
The majority of the assignments from Fall 2012 and 2015 were online using WeBWork.
- Winter 2010 Assignment 2
- Fall 2015 Assignment 2 Supplement
- Winter 2010 Assignment 3
- Fall 2012 Assignment 3 Supplement
- Fall 2015 Assignment 3 Supplement
- Winter 2010 Assignment 4
- Fall 2015 Assignment 4 Supplement
- Winter 2010 Assignment 5
- Fall 2012 Assignment 6 Supplement
Notes
These notes are from my iPad using Goodnotes.
- Lines and Planes
- Normal Vectors and Lines; Parallel and Intersecting Planes; Cylinders and Quadric Surfaces
- Vector Functions: Limits, Continuity, Derivatives, and Tangent Lines
- Vector Functions: Integration and Arc Length
- Limits for Multivariate Functions; The Squeeze Theorem
- Continuity and The Chain Rule for Multivariate Functions
- Implicit Differentiation Revisited; Tangent Planes and the Gradient
- Clairault's Theorem and Mixed Partials; Optimization
- Directional Derivatives and the Gradient
- Local Maxima and Minima; The Second (Partial) Derivative Test; Absolute Maxima and Minima
- More on Absolute Maxima and Minima; Differentiability; Extreme Value Theorem
- Lagrange Multipliers; Integration over Rectangles; Fubini's Theorem
- Integration Over More General Two-Dimensional Regions
- Application: The Normal Distribution
- Volume; Transformations and the Jacobian
- More on Jacobians: Polar Coordinates; Integration Over Boxes
- Fubini's Theorem Revisited; Integration Over More General Three-Dimensional Regions; Cylindrical and Spherical Coordinates
- A Note on Notation; Application to Physical Chemistry
- Line Integrals in 2 Dimensions and the Fundamental Theorem; Examples; Orientation
- Parameterizing a Line Segment; Line Integrals in 2 Dimensions; Vector Fields; Line Integrals and Vector Fields: Fundamental Theorem
- Conservative Vector Fields; Application: The Silo Problem; Green's Theorem
- Green's Theorem Examples; Area; Divergence and Curl
- Parametric Surfaces; Integration Over Parametric Surfaces; FLUX
- Stokes' Theorem; Solid Regions and the Divergence Theorem; Physical Interpretations
