Class Notes List

These are given in reverse chronological order. I give no guarantees on their correctness! If you find any mistakes, feel free to email me with corrections.

These notes are based on notes I used for classes previously taught at Dartmouth which covered similar material, but these will be updated with typo corrections, changes in content, and will also be made more friendly for computer reading.

• Class 30, Nov 30 2011: Surface integrals of vector functions
• Class 29, Nov 28 2011: Surface integrals of scalar functions
• Class 28, Nov 21 2011: Green's Theorem
• Class 27, Nov 18 2011: The Fundamental Theorem of Calculus for line integrals
• Class 26, Nov 17 2011: Line integrals of vector fields
• Class 25, Nov 16 2011: Vector fields
• Class 24, Nov 14 2011: Line integrals of scalar functions
• Class 23, Nov 11 2011: The Jacobian
• Class 22, Nov 9 2011: Cylindrical coordinates
• Class 21, Nov 7 2011: Triple integration
• Class 20, Nov 4 2011: Integration using polar coordinates
• Class 19, Nov 2 2011: Double integrals over non-rectangular regions
• Class 18, Oct 31 2011: Iterated integrals, Fubini's Theorem
• Class 17, Oct 28 2011: Double integrals as Riemann sums
• Class 16, Oct 26 2011: The chain rule
• Class 15, Oct 24 2011: The definition of differentiability, introduction to linear transformations and matrices
• Class 14, Oct 21 2011: Lagrange multipliers
• Class 13, Oct 19 2011: Absolute maxima and minima
• Class 12, Oct 17 2011: Local extrema, the second derivative test
• Class 11, Oct 14 2011: Applications of gradients
• Class 10, Oct 12 2011: Directional derivatives and the gradient
• Class 9, Oct 10 2011: Tangent plane, linearization
• Class 8, Oct 7 2011: Partial derivatives
• Class 7, Oct 5 2011: Limits of functions of several variables
• Class 6, Oct 3 2011: Arc length
• Class 5, Sep 30 2011: Vector-valued functions (the typesetting of these notes is less than ideal, I will try to fix in the near future)
• Class 4, Sep 28 2011: Lines and planes in $$\mathbb{R}^{3}$$
• Class 3, Sep 26 2011: Cross product
• Class 2, Sep 23 2011: Dot product
• Class 1, Sep 21 2011: Vectors, lines, spheres
• Introductory presentation, Sep 21 2011