#### Instructor Info

Name: Maria Angelica Cueto
Email: cueto.5@osu.edu
Office: Math Tower (MW) 620
Office Phone: 688 5773

#### Office Hours

M-W-F 12:30pm-13:30pm
in Math Tower (MW) 620

#### Time and Location

Lecture: M-W-F 11:30am-12:25pm
in Journalism Building (JR) 251.

Recitations: Thursdays
in Enarson Classroom Building (EC) 346.
Section 11: 9:10am-10:05am
Section 12: 10:20am-11:15am
Section 13: 11:30am-12.25pm

### 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.