MATH 10C - Calculus III - Fall 2019

Lecture: MWF 11:00 am - 11:50 am at PCYNH 109
Instructor: Mareike Dressler
Office: AP&M 6444
Office Hours: M 3:00 pm - 4:00 pm at AP&M 6444
W 9:50 am - 10:50 am at AP&M 6444

Discussion: A01: Th 6:00 pm - 6:50 pm at AP&M 6402, Yanyi
A02: Th 7:00 pm - 7:50 pm at AP&M 6402, Yanyi
A03: Th 6:00 pm - 6:50 pm at CENTR 217A, Lucy
A04: Th 7:00 pm - 7:50 pm at CENTR 217A, Lucy
A05: Th 8:00 pm - 8:50 pm at CENTR 217A, Lucy
A06: Th 9:00 pm - 9:50 pm at CENTR 217A, Lucy
Teaching Assistant:     Lucy Shao
Office Hours: M & F 5:00 pm - 7:00 pm at AP&M 2313
Teaching Assistant:     Yanyi Wang
Office Hours: Th 4:00 pm - 5:00 pm, F 1:00 pm - 2:00 pm at AP&M 6436

Supplemental Instruction:     Monday 12:00p-12:50p at Center 316
Wednesday 12:00p-12:50p at TLC 1504
Thursday 10:00a-10:50a at Center 316
SI Leader: Azeez Aderounmu
Credit Hours:    4 (No credit given if taken after or concurrent with 20C.)
Prerequisites:    AP Calculus BC score of 3, 4, or 5, or MATH 10B, or MATH 20B.
Catalog description: Introduction to functions of more than one variable. Vector geometry, partial derivatives, velocity and acceleration vectors, optimization problems.
Textbook: James Stewart, "Calculus: Concepts and Contexts", 4th edition (Enhanced with Webassign), published by Brooks/Cole, 2010.
Subject Material:    We will cover parts of Chapters 9, 10, 11, and 12 of the text.
Syllabus:    This website acts as our syllabus.

Exams:  There will be three exams in the class:

There will be no make-up exams! I.e., you must take your midterms on the scheduled dates at the scheduled times; they will not be offered at an alternate time. It is your responsibility to ensure that you do not have a schedule conflict involving the final exam; you should not enroll in this class if you cannot sit for the final exam at its scheduled time.

⭢ You may use one 8.5 x 11 inch sheet of handwritten notes (which may be written on both sides, no photocopies!). No books, calculators, phones, or other aids may be used during exams.

Reading Assignements:  Reading and doing the examples in the sections of the textbook corresponding to our discussions in lecture will help you learn and understand the course material better. If you work through the relevant examples in the book before you start your homework problems, you will probably solve the homework problems more easily and perform better on your exams than if you do not do the reading. Your reading assignments are listed on the course calendar below; for example, "9.3 - The Dot Product" is written on October 2nd, so your assignment is to read section 9.3 before lecture that day.

Homework:  Homework will be assigned online through WebAssign (accessible via Canvas). Homework will be assigned weekly, and is due on Fridays at 11:00am, starting in Week 1. There will be ten (10) homework assignments in total. They will be graded and will count towards your final grade.
No homework grades will be dropped.

Homework philosophy and (late) homework policy:

Canvas:  We will use Canvas for class announcements and additional material uploaded for your convenience and help. You will be able to check your scores for the tests on Canvas and it will also be your portal to access WebAssign.

WebAssign:  This is the online homework system associated to the textbook, through which you will submit your homework. You can access WebAssign via your Canvas account (look for the link on the left hand navigation bar).

Gradescope:  Your midterm exams and final will be scanned and uploaded using an online tool called Gradescope and will be graded within it. As a consequence, exams will not be returned to the students. Instead, a digital version of your exams will be made available after the grading has been completed. An email will be sent from Gradescope when the exams are made available.

Piazza:  We will use Piazza for class discussions. Post on Piazza whenever you're confused about homework, the lecture, the textbook, course logistics, or anything relevant to the course. Do not let yourself be silenced by the fear of looking stupid. Your classmates, the TAs, and I will answer. You are strongly encouraged to post messages on Piazza instead of emailing me or the TAs directly. If you have any problems or feedback for the developers, email

Grading Information

There are two methods to determine your course grade. Your grade will be determined using both methods and then the best grade will be used.

After your weighted average is calculated, letter grades will be assigned based on the following grading scale:

A+ A A- B+ B B- C+ C C-

The scale may be adjusted to be more lenient (depending on the performance of the class). While the scale may be adjusted to be more lenient, the grade corresponding to a given percentage is guaranteed not to be lower than specified by the above scale.


Course Calendar

We will cover parts of Stewart's book. The following is a tentative plan and is subject to change or revision. Content covered will be added/updated below as the course progresses (numbers refer to sections in Stewart's book).

Week Monday Tuesday Wednesday Thursday Friday
Sep 23
  Sep 25
Sep 26
Sep 27
Introduction & 9.1
Three-Dimensional Coordinate Systems
Sep 30
  Oct 02
The Dot Product
Oct 03

Oct 04
The Dot Product
Homework 1 due
Oct 07
The Cross Product
  Oct 09
The Cross Product
Oct 10

Oct 11
Equations of Lines and Planes
Homework 2 due
Oct 14
Equations of Lines and Planes, Examples
Oct 15

Review Session
Oct 16

Midterm I
Oct 17

Oct 18
Vector Functions and Space Curves
Homework 3 due
Oct 21
Derivatives and Integrals of Vector Functions
  Oct 23
Functions of Several Variables
Oct 24

Oct 25
Partial Derivatives
Homework 4 due
Last Day to Drop w/o 'W'
Oct 28
2nd Partial Derivatives, Examples
  Oct 30
Tangent Planes and Linear Approximations
Oct 31

Nov 01
The Chain Rule
Homework 5 due
Nov 04
The Chain Rule
  Nov 06
Directional Derivatives the Gradient Vector
Nov 07

Nov 08
Catch-up / Review
Homework 6 due
Last Day to Drop w/o 'F'
Nov 11

Veterans Day (No class)
  Nov 13

Midterm II
Nov 14

Nov 15
Maximum and Minimum Values
Homework 7 due
Nov 18
Maximum and Minimum Values
  Nov 20
Examples for global Max/Min
Nov 21

Nov 22
Lagrange Multipliers
Homework 8 due
Nov 25
Double Integrals over Rectangles
  Nov 27
Double Integrals over Rectangles
Nov 28

Thanksgiving (No class)
Nov 29

Thanksgiving (No class)
Dec 02
Iterated Integrals
Homework 9 due
  Dec 04
Iterated Integrals
Dec 05

Dec 06
Catch-up / Review
11 Dec 09

Homework 10 due
Dec 10
Final Exam

Study Resources

Electronic Computing Devices:  Graphing calculators and computer programs (or online computing websites such as the above mentioned Wolfram|Alpha) can be very helpful when working through your homework.   However, a calculator/computer should be used as an aid in the learning concepts, not just as a means of computation.   You may use these devices when working on math problems at home, but always keep in mind that you will not be allowed access to any electronic computing devices during exams.   Of course, this also means that you will not be asked to solve problems on exams that require the aid of an electronic computing device. The use of electronic devices (of any sort) will not be permitted during exams.

Etiquette: Etiquette includes things like giving credit where credit is due, and treating your peers respectfully in class. In addition, here are a few of our expectations for etiquette in and out of class.

Academic Integrity:  Academic integrity is highly valued at UCSD and academic dishonesty is considered a serious offense. Students involved in an academic integrity violation will face an administrative sanction which may include suspension or, in very serious cases, expulsion from the university. Your integrity has great value: Cultivate and protect your academic integrity. Click here for more information on academic integrity and its value.
Academic Accomodations:  Students needing academic accommodations must register with the Office for Students with Disabilities (OSD). The student must provide the appropriate accommodation documentation to the instructor no later than the end of the first week of classes.