713 Evans Hall

University of California at Berkeley, CA 94720-3840

Tel: 510-642-3768, Email: "last name, lowercase" at "university name" dot edu

Office Hours: TTh 9:30-10:30am (first in front of 155 Dwinnelle right after lecture, then Evans 713), T 3:30-4:30pm in Evans 713.

Webpage: http://math.berkeley.edu/~stankova

GSIs finalized office hours will be revised here. Check them out and keep
them with you at all times. You are welcome to visit any GSI's office hours, along with the professor's office hours.
** **

Do NOT contact the instructor or the GSIs. We have no control over enrollment.
Contact instead **Thomas Brown, 965 Evans, 10:30am-12noon or 1-5 pm.** You need to see him in person (not by email!) to resolve enrollment questions. Students who wish to switch
sections with open spaces can use the "Switch Section" link in TeleBears. Thomas Brown cannot move students into sections that are full. However, he can often swap students between sections. If two students
are willing to swap sections, both students need to go to Thomas and he will try to switch them.

** HW1A. ** Read: 10.1. Curves defined by parametric equations. 10.5. Conic sections (concentrate on recognizing the type of conic section:
parabola, ellipse, or hyperbola, and sketching graphs)

** HW1B: ** Read: 10.2. Calculus with Parametric Curves: Tangents (in polar coordinates), Examples 1 and 2, pp. 650-651. 10.3. Polar Coordinates

** Notes from class 1/21/16 and office hours:**

** HW2A. ** Read: 10.2. Calculus with Parametric Curves (Review and finish). 10.4. Areas and Lengths in Polar Coordinates

** General notes on bonus HW problems:** Bonus HW problems will be included in the weekly HW solutions. Ordinarily, they won't be included in quiz for that week, but they may be included
in exams (or even later quizzes, if suitable), so you need to study their solutions carefully. Keep in mind that a "bonus" problem earlier in the semester may not look
as hard later on in the semester.

** HW2B. ** Read: 12.2.Vectors

** Note: ** Problem 10.2. #36(c) was assigned unintentionally. We will not be testing on exams about centroids of general figures. The only centroid for now that you should be
aware of and be able to solve problems with is the centroid of a triangle (as we did in class). The first video below ("Triangle has a Magic Highway") and its extra footage
will tell you more on that topic.

** HW3A. ** Read: 12.3. The Dot Product (including Ex.7 on work)

** HW3B. ** Read: 12.4. The Cross Product. 12.5. Equations of Lines and Planes (only the first section on Lines, including Example 3 on p. 826)

** HW4A. ** Read: 12.5. Equations of Lines and Planes (finish, concentrating on Planes and Distances, pp. 827-830). 12.6. Cylinders and Quadric Surfaces

** HW4B. ** Read: 13.1. Vector Functions and Space Curves. 13.2. Derivatives and Integrals of Vector Functions

** General note on HW problems:** Ordinarily, only even-numbered problems are assigned, unless an odd-numbered problem is explicitly included in HW. Thus,
for example, #2-12 means #2,4,6,8,10.

** HW5A. ** Read: 13.3. Arc Length and Curvature (up to Normal and Binormal Vectors (non-inclusive)).

** HW5B. ** Read: 13.3. Normal and Binormal Vectors (finish). 13.4. Motion in Space: Velocity and Acceleration (up to Kepler's
Laws, non-inclusive). 14.1. Functions of Several Variables (up to Level Curves, non-inclusive)

** HW6. ** Read: 14.1. Functions of Several Variables (finish; concentrate on graphs,level curves, and 3-variable functions).
14.2. Limits and Continuity

** HW7A. ** Read: 14.3. Partial Derivatives (read on your own the example associated with Table 1 on p.912; read everything else except Partial DE on p.920
and Cobb-Douglas Production Function on p. 922 -- these are optional); 14.4. Tangent Planes and Linear Approximations

** HW7B. ** Read: 14.4. Tangent Planes and Linear Approximations (finish; concentrate on differentiable functions: Definition 7 and Theorem 8; read also about Differentials for your general understanding);
14.5. Chain Rule. 14.6 Directional Derivatives(concentrate on directional derivatives up to Example 2, inclusive)

** HW8A. ** Read: 14.6. Directional Derivatives (starting from the Gradient Vector); 14.7. Maximum and Minimum Values (concentrate on critical points
and how to find them using the gradient, and on Second Derivatives Test)

** HW8B. ** Read: 14.7. Maximum and Minimum Values (finish; concentrate on finding global min/max). 14.8. Lagrange Multipliers
(up to Two Constraints, non-inclusive)

** HW9A. ** Read: 15.1. Double Integrals over Rectangles. 14.8. Lagrange Multipliers (finish; Bonus: Two Constraints)

** HW9B. ** Read: 15.2. Double Integrals over General Regions (may skip for now Example 4 and all exercises on volumes in 15.2).
15.3. Double Integrals in Polar Coordinates (concentrate only on notes from lecture, i.e., writing Cartesian regions in polar coordinates)

** HW10A. ** Read: 15.2. Double Integrals over General Regions
(finish, concentrate on Example 4 and exercises on volumes in 15.2). 15.3. Double Integrals in Polar Coordinates (finish, read all examples).
15.4. (Optional) Applications of Double Integrals (concentrate only on Probability and Expected Values)

** HW10B. ** Read: 15.5. Surface Area. 15.6. Triple Integrals

** HW11. ** Read: 15.8. Triple Integrals in Spherical Coordinates. 15.9. Change of Variables in Multiple Integrals. 16.1. Vector Fields
(start reading as far as you can go in 16.1)

** HW12A. ** Read: 16.1. Vector Fields. 16.2. Line Integrals, Part I (up to Line Integrals in Space, non-inclusive)

** Notes on Lecture, 4/12/2016:**

** HW12B. ** Read: 16.2. Line Integrals, Part II (finish). 16.3. Fundamental Theorem for Line Integrals (pp. 1087-1088)

** HW13A. ** Read: 16.3. Fundamental Theorem for Line Integrals (up to p. 1091, non-inclusive; optional: read section on "Conservation of Energy").
16.4. Green's Theorem

** HW13B. ** Read: 16.4. Green's Theorem (finish; especially the proof of GT). 16.3. Fundamental Theorem for Line Integrals (finish; Theorem 6 and pp. 1091-1093; Conservation
of energy is optional). 16.5. Curl and Divergence (up to Example 5, inclusive)

** HW14A. ** Read: 16.5. Curl and Divergence (finish; may skip for now Vector Forms of GT). 16.6. Parametric Surfaces and Their Areas
(may skip "Surfaces of Revolution"). 16.7. Surface Integrals (of scalar functions; up to "Oriented Surfaces", non-inclusive).

** HW14B. ** Read: 16.7. Surface Integrals (of vector fields; finish). 16.8. Stokes' Theorem (may skip for now "Proof of a special case of ST" and
"Meaning of curl F).

** HW15A (Optional). ** Read: 16.8 Stokes' Theorem (concentrate on Proof of ST in a special case, and Examples 1 and 2);
16.9. Divergence Theorem (Theorem Statement and Examples 1 and 2; may skip proof of DT)

** HW15B (Optional). ** Read: 16.10. Summary.