Math 32 A – Multivariable Calculus – Fall 2018

Final: Monday, Dec 10th, 3:00pm-6:00pm, Location TBD

Lectures: MWF 10:00-10:50 in BROAD 2160E.

Instructor: Sylvester Eriksson-Bique, 6124 Math Sciences Building.

Office Hours: Thursday 2-3pm Mathsci 6221 (classroom, includes some review/summary), Wed 5:00pm–6:00pm in Boelter collaborative learning center CLC 8251 Boelter hall (collaborative)
and Friday 12–1pm in 6164 Math Sciences Building (standard office hours).


  • Bon-Soon: 1E Tuesday 10-10:50, 1F Thursday 10-10:50
  • Eric: 1C Tuesday 10am-10:50am, 1D Thursday 10-10:50
  • Tianqi: 1A Tuesday 10am-10:50, 1B Thursday 10-10:50

LAs: Yu (Sherry) Shi, Andy Shen, Christine Dai, Vedant Sahu and Jonathan Shi

Exams: Two in-class midterms: Wednesday Oct 24th and Friday, November 16th. Three-hour final: Monday, December 10th, 3pm–6pm.

Bring student ID to both midterms and the final. There will be no make-up exams.
No calculators, notes, or books will be permitted in any exam.

Homework: There will be weekly homework. It is due in the beginning of the class on Friday. The HW will be announced and posted on CCLE, Piazza and in the link before. You should
always have the HW visible a week before it is due. Further information is given below.

  • No late homework will be accepted.
  • 1-2 problems graded for correctness and with some comments and the remaining more for completeness.
  • Write your name, ID number, and TA section at the top of the first page.
  • Staple your pages! May submit online as pdf on CCLE.
  • Homework will be returned in TA section.
  • The weakest homework score will be omitted.

Discussion sections: Attendance of discussion sections is highly recommended and part of your grade. These discussion sections are collaborative, and will involve working together in groups to solve problems. There will be 9 discussion sessions.

  • You must attend 7 discussion sessions to receive full credit.
  • The sessions are meant to foster interaction; you should work as a team and help each other learn.
  • There will be undergraduate Learning assistants and Teaching assistants to support and help you with questions.
  • Graded by attendance. Must be present for at least half the time to receive credit; TA may use discretion in awarding attendance credit.

Online quizzes: Each week there will be small online quizzes to do before the discussion session. These questions will prepare the basic skills needed for discussion.

  • These should be quick, and ideally done the day before or the morning of. Remind yourself of the consepts.
  • These are graded, and the lowest two scores are dropped.

Extra credit opportunities

  • Participation on Piazza with mathematical contents, generally 1-3 % where each point corresponds to 5 posts/answers/questions. Given at end of class and visible on myUCLA.
  • 1% extra credit: You can at any time after the first Midterm come to either the Tuesday or the Friday office hours (or schedule an alternative time), and bring a topographical map of some place important
    to you (your home, Westwood, some great place to hike or ski etc). This map should include countour lines, and you should be able to tell me about the crucial features (hills, high and low points, critical points, slopes,
    how steep they are), and relate these features to the contour plot. I may also ask you some questions about the direction of the gradient etc.

Grading: Better of the two:

  • Discussion participation: 3 %; Online quizzes 5%; Homework, 12%; Each midterm 20%; Final 40%.
  • Discussion participation: 3 %; Online quizzes 5%; Homework, 12%; Better midterm 30%; Final 50%.

Final grade policies: I will not apply a curve, except to improve your grade if necessary. If you get 90% or higher, you should expect to get an A, if 80% or higher a B, and if more than 70 % a C. If too few students, despite good performance
get low scores (say because of a midterm), then the grade limits may be adjusted. Also, if one midterm is significantly harder than the other, these exams may be weighted slightly differently from above. Grades assigned only at the
end of the class. Scores and grades will not be adjusted unless a clear error is demonstrated.


Tentative course schedule

Lecture Date Section Topic
1 Fri Sept 28th 13.1 Vectors in the plane
2 Mon Oct 1st 13.2 Vectors in Three Dimensions
3 Wed Oct 3rd 13.3 Dot product
4 Fri Oct 5th 13.4 Cross product
5 Mon Oct 8th 13.5 Planes in Three-Space
6 Wed Oct 10th 12.1 Parametric equations
7 Fri Oct 12th 14.1 Vector-Valued Functions
8 Mon Oct 15th 14.2 Calculus of Vector-Valued Functions
9 Wed Oct 17th 14.3,4 Arc-Length and Speed; Curvature
10 Fri Oct 19th 14.5,6 Motion in Three-Space; review
11 Mon Oct 22nd 15.1 Functions of Two or More Variable
12 Wed Oct 24th Up to 8 1st Midterms
13 Fri Oct 26th 15.1 Surfaces, Graphs, Elevation plots, Vector fields
14 Mon Oct 29th 15.2 Limits and continuity
15 Wed Oct 31st 15.2 Limits and Continuity
16 Fri Nov 2nd 15.3 Partial Derivatives
17 Mon Nov 5th 15.3 Partial Derivatives
18 Wed Nov 7th 15.5 Gradient and Directional Derivatives
19 Fri Nov 9th 15.5 Gradient and Directional Detivatives
20 Mon Nov 12th NA Veterans day observance
21 Wed Nov 14th 15.4 Types of critical points and Differentiability and Tangent Planes
22 Fri Nov 16th Up to Partial Derivatives and gradients 2nd Midterm
23 Mon Nov 19th 15.4, 15.7 Types of critical points, Optimization
24 Wed Nov 21st 15.7 Optimization
25 Fri Nov 23rd NA Thanksgiving
26 Mon Nov 26th 15.7 Lagrange Multipliers
27 Wed Nov 28th 15.8 Lagrange Multipliers
28 Fri Nov 30th 15.4 Differentiability and Tangent Planes
29 Mon Dec 3rd 15.4 Chain Rule
30 Wed Dec 5th 15.4 Chain Rule
31 Fri Dec 7th 15.8 Last class: Lagrange multiplier and review
FINAL Mon Dec 10th Cumulative 3pm-6pm Location TBD

Additional policies

Additional Links

Notice about academic integrity

From the office of the Dean of Students:

“With its status as a world-class research institution, it is critical that the University uphold the highest
standards of integrity both inside and outside the classroom. As a student and member of the UCLA
community, you are expected to demonstrate integrity in all of your academic endeavors. Accordingly,
when accusations of academic dishonesty occur, The Office of the Dean of Students is charged with
investigating and adjudicating suspected violations. Academic dishonesty includes, but is not limited
to, cheating, fabrication, plagiarism, multiple submissions or facilitating academic misconduct.”

Students are expected to be aware of the University policy on academic integrity in the UCLA Student
Conduct Code:

Please note the sections on (1) cheating, (2) plagiarism, and (3) unauthorized study aids.
Violation of course policy involving plagiarism, cheating, or possession of course materials during
exams will be referred to the Dean of Students, who will be encouraged to take strong action. Do not
cheat! The penalties can be very harsh. Do not believe it if you hear that “everyone does it.” You
generally do not hear about the punishments because they are kept confidential. If you are found
responsible by the Dean of Students for violating course policy, cheating on any course materials, or
giving or receiving unauthorized help, a zero will be assigned for the entire assignment. No exceptions
will be made! Past examples of penalties also include loss of an entire term of credit and suspension for
several terms. If you plan to apply to graduate or professional school, such a negative mark on your
record may be a major obstacle to admission.

No cell phones are allowed during exams. They must be left in your bag and turned off, or submitted to
the designated TA/proctor. Students may not use a cell phone as a clock to keep time, nor as a
calculator. No hats are allowed in the testing room; they must be left in your bag.

Notice about sexual harassment, discrimination, and assault

Title IX prohibits gender discrimination, including sexual harassment, domestic and dating violence,
sexual assault, and stalking. Students who have experienced sexual harassment or sexual violence can
receive confidential support and advocacy from a CARE advocate:

The CARE Advocacy Office for Sexual and Gender-Based Violence

1st Floor, Wooden Center West

(310) 206-2465

You can also report sexual violence or sexual harassment directly to the University’s Title IX

Kathleen Salvaty

2241 Murphy Hall

(310) 206-3417

CAE brochure

My goal is to foster an inclusive, supportive and encouraging enviroment for you to learn. Many of us suffer from various degrees
of learning difficulties, exam stress etc. Please be aware that the university has many resources to help with challenges you might face
and that I as an instructor will do my best to assist and accomodate different learners. Please do not be afraid to reach out to a councelor,
me or your TA for contact information to various services. Also, please review the attached brochure.

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