Fall 2022
Math 233
DRAFT Syllabus

Section Day/Time Room Location Instructor
1 MWF 9-10 Prof Blake Thornton
2 MWF 10-11 Prof Blake Thornton
3 MWF 12-1 Brown 118 Prof Steven Frankel
4 MWF 1-2 Wilson 214 Prof Steven Frankel
5 MWF 2-3 Wilson 214 Prof Wanlin Li
Prof Blake Thornton
Office: Cupples 1, Room 108A
Email: bthornton@wustl.edu
Office Hours: See Google Course Calendar
Prof Steven Frankel
Email: s.cao@wustl.edu
Office Hours: See Google Course Calendar
Prof Wanlin Li
Email: rrudy@wustl.edu
Office Hours: See Google Course Calendar
Google Calendar of Math 233 Office Hours
Math Help Room Schuedule

Assistants to Instructors

Lecture is MWF every week. You must attend this.

Communication: We will make announcements in canvas announcements. If you have questions about the material, please visit office hours or post in Piazza (linked in canvas). If you have administrative questions, please email and copy in all instructors (Prof Thornton, Prof Cao and Prof Rodsphon).

Help and Assistant Office Hours: Mathematics Help Room.
You are encouraged to attend at any open time--all available assistants should be able to help you with our course.

At the link above (which should take you to the bottom of this page), you can find information on textbook, discussion sections, help, clickers, calculators, homework, PLTL, study suggestions, exams, grades, grading scale and more.

Tentative Schedue:
The schedule is tentative and will be updated regularly.
We will do our best to follow this schedule but don't be surprised if topics are shifted from one week to another as the semester progresses.

Week Dates Sections Covered Notes
1 Mon Aug 29 1: The Geometry of R3
1.1: R3 and Basic Graphs
Tues Aug 30 Discussion Sections
Wed Aug 31 1.2: Functions, Limits, Continuity
Fri Sept 2 1.3 Graphing and Slices
2 Mon Sept 5 No Class: Labor Day
Tues Sept 6 Discussion Sections
Wed Sept 7 1.4 Vectors and Lines
Fri Sept 9 1.5 Dot Products, Angles and Projections
3 Mon Sept 12 1.6 Determinants and Cross Product
Tues Sept 13 Discussion Sections
Wed Sept 14 1.7 Planes
Fri Sept 16 2 Parametric Curves and Surfaces
2.1 Parametric Curves
4 Mon Sept 19 2.2 Calculus of Curves
Tues Sept 20 Discussion Sections
Wed Sept 21 2.3 Coordinates: Polar, Cylindrical, Spherical
Fri Sept 23 2.4 Parametric Surfaces
5 Mon Sept 26 3 Differential Calculus of Multivariable Functions
3.1 The Derivative
Tues Sept 27 Discussion Sections
Wed Sept 28 3.2 Tangent Planes and Approximations
Fri Sept 30 3.3 Chain Rule
6 Mon Oct 3 3.4 Directional Derivatives
Tues Oct 4 Discussion Sections
Wed Oct 5 3.5 Local Extrema
Fri Oct 7 3.6 Global Extrema
7 Mon Oct 10 No Class: Fall Break
Tues Oct 11 Discussion Sections
Wed Oct 12 3.7 Lagrange Multipliers
Fri Oct 14 4 Integral Calculus of Multivariable Functions
4.1 Double and Triple Integrals over Rectanglar Regions
8 Mon Oct 17 4.2 Double Integrals over General Regions
Tues Oct 18 Discussion Sections
Wed Oct 19 4.3 Triple Integrals over General Regions
Fri Oct 21 4.4 Change of Variables
9 Mon Oct 24 4.5 Polar Coordinates
Tues Oct 25 Discussion Sections
Wed Oct 26 4.6 Cylindrical Coordinates
Fri Oct 28 4.7 Spherical Coordinates
10 Mon Oct 31 4.8 Surface Area and Surface Integrals
Tues Nov 1 Discussion Sections
Wed Nov 2 5 Vector Calculus
5.1 Vector Fields
Fri Nov 4 5.2 Vector Line Integrals and Work
11 Mon Nov 7 5.3 Fundamental Theorem and Independence of Path
Tues Nov 8 Discussion Sections
Wed Nov 9 5.4 Surface Integrals of a Vector Field, Flux Integrals
Fri Nov 11 5.5 Stokes' Theorem
12 Mon Nov 14 5.6 Green's Theorem: Stokes' Theorem for the Plane
Tues Nov 15 Discussion Sections
Wed Nov 16 5.7 Divergence Theorem
Fri Nov 18
13 Mon Nov 21
Tues Nov 22 Discussion Sections
Wed Nov 23 Thanksgiving Break: NO Class
Fri Nov 25 Thanksgiving Break: NO Class
14 Mon Nov 28
Tues Nov 29 Discussion Sections
Wed Nov 30
Fri Dec 2
15 Mon Dec 5
Tues Dec 6 Discussion Sections
Wed Dec 7
Fri Dec 9 Last Day
15 Final Exam



Text 0 (Lecture Notes): Calculus 3 Lecture Workbook
You will almost certainly want a physical copy of this to work through as it contains the problems that we will work through in lecture. Solutions/answers will be posted in the schedule above as we work through the book.
Feedback from students: Most, but not all previous students generally reported this text as being useful. Many students reported that every student should be required to have a physical copy of this workbook.
Old Editions: You will want the current edition of this---everything has been completely reworked and an old edition won't work.

Text 1 (Textbook): In the past I have recommended traditional textbooks. I still like these books, but I have found that most students do not find these useful and more of a waste of money. That said, here are two recommendations:

Are you in the right class? We want you to succeed, without repeating a large amount of material.
Math 131 Calculus 1: Limits, Derivatives, maxima and minima, L'Hopital's Rule
Math 132 Calculus 2: Integration, area, volumes, surface area, infinite series, Taylor series
Math 233 Calculus 3: Three space, partial derivatives, multiple integration, Green's theorem and vector calculus

Google Course Calendar:
You can find a calendar on the course including instructor office hours below.

Discussion Sections
You will meet with your Assistant to Instructor (AI) every Tuesday (starting with the first Tuesday of classes). In these meetings, you will learn new material and topics as well as work on problem solving. Come to these meetings prepared by doing your homework. You will have group work to do that will be graded and part of your grade.

Where to go for Help:

Peer Led Team Learning (PLTL)
The PLTL program is voluntary but highly recommended. If you want to participate, you must sign up the first week of class by completing an application: PLTL Applications
Applications are available on Aug 30 and will be closed on Friday Nov 3.
Learning Center: PLTL Page

While you are free to use any calculator for your homework, you will not be allowed to use a calculator for exams:

You can find your grades, access WeBWorK and more at Canvas. All the sections are merged into section 1, so log on to Math 233, section 1.

Webwork is due every Wednesday evening.
To log in, go to Canvas and click on "Assignments."
You will do weekly homework online. You are responsible for making sure this is done by the due date.
Important! There may be more than one set due each week!
Collaboration: Feel free to work together but remember, you have to be able to perform by yourself on exams!

Recommended Homework
The textbook contains an enormous number of homework exercises at the end of each section. You will get the most out of the course if you do all of these. I will recommend a subset of these problems for you to focus on. These will not be collected or graded.

Exam Schedule
Exam Schedule
Exam 1 Wed Nov 22, 6:30-8:30PM
Exam 2 Wed Nov 20, 6:30-8:30PM
Exam 3 Wed Nov 17, 6:30-8:30PM
Final Thurs Dec 16, 3:30-5:30PM

Final Exam
The final exam will be as scheduled.

Study Suggestions - What to do daily and weekly

What to do every week?
  1. Read the Stewart text for the relevant sections to be covered.
    (Hint: Most students don't do this. If you do this you will be ahead of the curve.)
  2. Tuesday: Attend your discussion section.
  3. Do the additional workbook problems that weren't in the lecture. (You can find answers in "Canvas-->Files".)
  4. Attend help sessions, office hours and the Mathematics Help Room if (when) you get stuck on the workbook problems, webwork problems or you just don't understand. Drop by any of those locations and just hang out--maybe someone will ask a question you have.
  5. Attend PLTL on the weekend if you have signed up for PLTL.
  6. Attend RPM hours for help.
  7. Do the Webwork homework.
  8. Look at the Google Course Calendar.

Grades: Your final grades will be computed according to the following formula and grading scale.
		Grade = 0.75*( E1 + E2 + E3 + 2*E4 - min(E1, E2, E3, E4))/4 + 0.15*(WeBWork) + 0.10*(GroupWork)
Basically this means that all exams are weighted equally and worth 75% of your grade. The final exam can replace your lowest semester exam. Webwork is worth 15% of your final grade, discussion sections are worth 10%.

We will drop the lowest three discussion section grades, the lowest five webworks. (We increased the number of webwork drops to 5 because you do not have to do Green's Theorem webwork, but you can do that assignment in order to drop a different webwork that is low.)

A note on webwork grades: There may be multiple webwork assignments due every week. In computing your grade, we will scale these so they are all equally weighted and use these scaled scores for computations.

A note on rounding: For example, the A- interval is [85,90). This means that anything in this interval is an A- (i.e., no rounding).

A [93,infinity)
A- [90,93)
B+ [87,90)
B [83,87)
B- [80,83)
C+ [77,80)
C [73,77)
C- [70,73)
D [60,70)
F [0,60)

Pass/Fail Policy: You must get at least a C- to earn a "Pass".

Disability Resources (DR):
Special accommodations for exams are offered to students who have registered in a timely manner at Disability Resources (DR). Information about DR may be found at https://students.wustl.edu/disability-resources/.

For our class, this means that you must let your instructor know of your accommodation and we will work with you.

Covid Policies:
Students are expected to follow university-mandated COVID safety procedures.
If you are sick, quarantined, or do not pass WashU self-screening, do not come to class in person. Watch the recorded lecture for that day instead.
If you miss a discussion section that will count as one of your dropped discussion section (that is what hey are for). If you miss an exam, let us know.

Class Recordings:
We will be doing our best to record, through zoom, one lecture every day of lecture. Students will not be admitted into class via zoom but can view the recording after the lecture when we post it in canvas.
There are also videos from 2020 that you might find helpful. You can find these in Canvas
I am 150% certain that the value you get from attending class will be much greater than watching any videos.

Links and Resources