September 4: Course info.

September 5: Coordinates in three-dimensional space.

September 6: Coordinates in three-dimensional space.

September 9: Vectors.

September 11: The dot product of two vectors.

September 12: The dot product (continued) and the cross product.

September 13: The triple product of two vectors.

September 16: Equations of lines and planes.

September 18: Equations of lines and planes (concluded).

September 19: Cylinders and quadric surfaces.

September 20: Cylinders and quadric surfaces (concluded).

September 23: Vector functions and space curves.

September 25: Vector functions and space curves (continued).

September 26: Arc length and curvature.

September 27: The normal vector. Velocity and acceleration.

September 30: Velocity and acceleration (concluded). Functions of more than one variable.

October 2: Functions of more than one variable (concluded).

October 3: True/False Quiz for chapter 10.

October 4: Multivariate limits.

October 7: Partial derivatives.

October 9: Clairaut's Theorem.

October 10: Tangent planes and linear approximation.

October 11: Chain rule and implicit function theorem.

October 16: Implicit function theorem. Directional derivatives.

October 17: The gradient vector.

October 18: Maximum and minimum values. First and second derivative tests.

October 21: Lagrange multipliers.

October 23: Lagrange multipliers, concluded.

October 24: True/False Quiz for chapter 11.

October 25: Double integrals over rectangles.

October 28: Double integrals over general regions.

October 30: Double integrals in polar coordinates.

October 31: Applications of double integrals.

November 1: MIDTERM

November 4: Triple integrals.

November 6: Cylindrical coordinates.

November 7: Spherical coordinates.

November 8: Change of variables.

November 13: Vector fields.

November 14: True/False Quiz for chapter 12.

November 15: Line integrals.

November 18: Line integrals (concluded). The fundamental theorem of line integrals.

November 20: The fundamental theorem of line integrals (concluded).

November 21: Green's theorem.

November 22: Curl and divergence.

November 25: Parametric surfaces and their areas.

November 27: Surface integrals.

December 2: Stokes' theorem.

December 4: The divergence theorem.

December 5: True/False Quiz for chapter 13, and a little bit more about the divergence theorem.

December 6: The divergence theorem (concluded).