Lecture:  MWF 11:00 am  11:50 am at PCYNH 109 
Instructor:  Mareike Dressler 
eMail:  mdressler@ucsd.edu 
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 
eMail:  l6shao@ucsd.edu 
Office Hours:  M & F 5:00 pm  7:00 pm at AP&M 2313 
Teaching Assistant:  Yanyi Wang 
eMail:  yaw019@ucsd.edu 
Office Hours:  Th 4:00 pm  5:00 pm, F 1:00 pm  2:00 pm at AP&M 6436 
Supplemental Instruction: 
Monday 12:00p12:50p at Center 316 Wednesday 12:00p12:50p at TLC 1504 Thursday 10:00a10:50a at Center 316 
SI Leader:  Azeez Aderounmu 
eMail:  aaaderou@ucsd.edu 
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:
⭢ 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.
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.
A+  A  A  B+  B  B  C+  C  C 

97  93  90  87  83  80  77  73  70 
Notes
Week  Monday  Tuesday  Wednesday  Thursday  Friday 

0 
Sep 23  Sep 25  Sep 26  Sep 27
Introduction & 9.1
ThreeDimensional Coordinate Systems


1 
Sep 30
9.2
Vectors

Oct 02
9.3
The Dot Product

Oct 03
Discussion 
Oct 04
9.3
The Dot Product
Homework 1 due


2 
Oct 07
9.4
The Cross Product

Oct 09
9.4
The Cross Product

Oct 10
Discussion 
Oct 11
9.5
Equations of Lines and Planes
Homework 2 due


3 
Oct 14
9.5
Equations of Lines and Planes, Examples

Oct 15
Review Session 
Oct 16
Midterm I 
Oct 17
Discussion 
Oct 18
10.1
Vector Functions and Space Curves
Homework 3 due

4 
Oct 21
10.2
Derivatives and Integrals of Vector Functions

Oct 23
11.1
Functions of Several Variables

Oct 24
Discussion 
Oct 25
11.3
Partial Derivatives
Homework 4 due
Last Day to Drop w/o 'W'


5 
Oct 28
11.3
2nd Partial Derivatives, Examples

Oct 30
11.4
Tangent Planes and Linear Approximations

Oct 31
Discussion 
Nov 01
11.5
The Chain Rule
Homework 5 due


6 
Nov 04
11.5
The Chain Rule

Nov 06
11.6
Directional Derivatives the Gradient Vector

Nov 07
Discussion 
Nov 08
Catchup / Review
Homework 6 due
Last Day to Drop w/o 'F'


7 
Nov 11
Veterans Day (No class) 
Nov 13
Midterm II 
Nov 14
Discussion 
Nov 15
11.7
Maximum and Minimum Values
Homework 7 due


8 
Nov 18
11.7
Maximum and Minimum Values

Nov 20
11.7
Examples for global Max/Min

Nov 21
Discussion 
Nov 22
11.8
Lagrange Multipliers
Homework 8 due


9 
Nov 25
12.1
Double Integrals over Rectangles

Nov 27
12.1
Double Integrals over Rectangles

Nov 28
Thanksgiving (No class) 
Nov 29
Thanksgiving (No class) 

10 
Dec 02
12.2
Iterated Integrals
Homework 9 due

Dec 04
12.2
Iterated Integrals

Dec 05
Discussion 
Dec 06
Catchup / Review


11  Dec 09
Homework 10 due

Dec 10
Final Exam
11:30am2:30pm 
Electronic Computing Devices: Graphing calculators and computer programs (or online computing websites such as the above mentioned WolframAlpha) 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.