Handouts
- Calendar (updated)
- Syllabus
- Generic course info
- Book buying guide
Exams
- Midterm 1: Friday, February 19, 2016 (in class) - Review for midterm 1, Practice midterm 1, Solutions for practice midterm 1, Solutions for midterm 1.
- Midterm 2: Friday, April 1, 2016 (in class) - Review for midterm 2, Practice midterm 2 - Solutions for practice midterm 2, Solutions for midterm 2.
- Final exam (CUMULATIVE): Friday April 29, 2016, 12:00pm-1:45pm (location: JR 251 (usual lecture room)) - Review for final (includes material not covered for the previus two midterms. For those topics, see the previous two reviews).
Quizzes
- Quiz 1: Thursday, January 21, 2016 (in class). Topics: § 12.1 - 12.3. Solutions.
- Quiz 2: Thursday, February 4, 2016 (in class). Topics: § 12.4 - 12.8. Solutions.
- Quiz 3: Thursday, March 10, 2016 (in class). Topics: § 13.4 - 14.1. Solutions.
- Quiz 4: Thursday, April 14, 2016 (in class). Topics: § 14.6 - 15.2. Solutions.
Lectures
- Lecture 1 (§ 12.1: Vectors in the plane), January 11, 2016.
- Lecture 2 (§ 12.2: Vectors in three dimension), January 13, 2016.
- Lecture 3 (§ 12.3: Dot products), January 15, 2016.
- Lecture 4 (§ 12.4: Cross products), January 20, 2016.
- Lecture 5 (§ 12.5: Lines and curves in space), January 22, 2016.
- Lecture 6 (§ 12.6: Calculus of vector-valued functions), January 25, 2016.
- Lecture 7 (§ 12.7: Motion in space), January 27, 2016.
- Lecture 8 (§ 12.7: Motion in space (cont.)), January 29, 2016.
- Lecture 9 (§ 12.8: Length of curves), February 1, 2016.
- Lecture 10 (§ 12.9: Curvature and normal vectors), February 3, 2016.
- Lecture 11 (§ 12.9 (cont.): The Binomial Vector and Torsion, and § 13.1: Planes and Surfaces), February 5, 2016.
- Lecture 12 (§ 13.1 (cont.): Cylinders and traces, and quadratic surfaces), February 8, 2016.
- Lecture 13 (§ 13.2: Graphs and level curves), and § 13.3: Limits and continuity), February 10, 2016.
- Lecture 14 (§ 13.3 (cont.): Limits at boundary points and continuity, and § 13.4: Partial derivatives), February 12, 2016.
- Lecture 15 (§ 13.4 (cont.): Partial derivatives), February 15, 2016.
- Review Midterm 1 (§ 12.1-13.3), February 17, 2016.
- Lecture 16 (§ 13.4 (cont.): Differentiation, and § 13.5: The chain rule), February 22, 2016.
- Lecture 17 (§ 13.5 (cont.): Implicit differentiation, and § 13.6: Directional derivatives and the gradient), February 24, 2016.
- Lecture 18 (§ 13.6 (cont.): Gradient and level curves, and § 13.7: Tangent planes and linear approximation), February 26, 2016.
- Lecture 19 (§ 13.8: Maximum/minimum problems), February 29, 2016.
- Lecture 20 (§ 13.8 (cont.): Absolute maximum/minimum, and § 13.9: Lagrange multipliers), March 2, 2016.
- Lecture 21 (§ 14.1: Double integrals over rectangular regions), March 4, 2016.
- Lecture 22 (§ 14.2: Double integrals over general regions), March 7, 2016.
- Lecture 23 (§ 14.3: Double integrals in polar coordinates), March 9, 2016.
- Lecture 24 (§ 14.4: Triple integrals), March 11, 2016.
- Lecture 25 (§ 14.5: Triple integrals in cylindrical and spherical coordinates), March 21, 2016.
- Lecture 26 (§ 14.6: Integrals for mass calculations), March 23, 2016.
- Lecture 27 (§ 14.7: Changes of variables in multiple integral), March 25, 2016.
- Lecture 28 (§ 15.1: Vector fields), March 28, 2016.
- Review Midterm 2 (§ 13.4-14.5), March 30, 2016.
- Lecture 29 (§ 15.2: Line integrals), April 4, 2016.
- Lecture 30 (§ 15.3: Conservative vector fields), April 6, 2016.
- Lecture 31 (§ 15.4: Green's Theorem), April 8, 2016.
- Lecture 32 (§ 15.5: Divergence and curl), April 11, 2016.
- Lecture 33 (§ 15.6: Surface integrals), April 13, 2016.
- Lecture 34 (§ 15.7: Stokes' Theorem), April 15, 2016.
- Lecture 35 (§ 15.5-15.7 (recap.): general rotational vector fields, curl and Stokes' Theorem), April 18, 2016.
- Lecture 36 (§ 15.8: Divergence Theorem), April 20, 2016.
- Review Final, April 22, 2016.
Recitations
- Recitation 1, January 14, 2016. Solutions.
- Recitation 2, January 21, 2016. Solutions.
- Recitation 3, January 28, 2016. Solutions.
- Recitation 4, February 4, 2016. Solutions.
- Recitation 5, February 11, 2016. Solutions.
- Recitation 6, February 25, 2016. Solutions.
- Recitation 7, March 3, 2016. Solutions.
- Recitation 8, March 10, 2016. Solutions.
- Recitation 9, March 24, 2016. Solutions.
- Recitation 10, April 7, 2016. Solutions.
- Recitation 11, April 14, 2016. Solutions.
- Recitation 12, April 21, 2016. Solutions.