Math 4013 - Calculus of Several Variables

Lecture: MWF 11:30pm-12:20pm, Stout Hall 044.


Jiří Lebl
Office: MSCS 505
Office hours: M 3:30-4:20pm MLSC main room (5th floor of library), W 3:30-4:20pm, F 2:30-3:20pm, my office, and by appointment at other times.
Office phone: (405) 744-7750
Email: lebl at okstate dot edu


Div, Grad, Curl, and All That: An Informal Text on Vector Calculus, by H. M. Schey, ISBN 0393925161.

A quick summary of basic concepts of vector calculus for a short review.

Other notes will appear here as the semester progresses.

A set of notes on the Hessian that we covered in class.

A set of notes on differential forms that we will cover in class.

For practice on background in Calculus III, see:
Gregory Hartman, APEX Calculus ( (PDF).
Lars Jensen, Active Calculus - Multivariable ( (webpages).
Paul Dawkins, Paul's Online Notes - Calculus III ( (webpages).


The grading scheme is given below:

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.2 \times \text{(Exam 1)} \\ + 0.2 \times \text{(Exam 2)} + 0.4 \times \text{(Final Exam)} \end{multline}$

To account for bad exam day, etc..., an alternative grade will be computed as follows

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.1 \times \text{(Exam 1)} \\ + 0.1 \times \text{(Exam 2)} + 0.58 \times \text{(Final Exam)} \end{multline}$

A second alternative (to account for bad final day) will be follows

$\begin{multline} \text{Grade} = 0.2 \times \text{(Homework)} + 0.3 \times \text{(Exam 1)} \\ + 0.3 \times \text{(Exam 2)} + 0.18 \times \text{(Final Exam)} \end{multline}$

The highest of the three will be used for your grade. Notice that in the alterative schemes, the score does not sum to 100 percent. That is on purpose! You should count on the first scheme, the second/third schemes are only to account for things going terribly terribly wrong on one of your exams.


Exam 1: Monday, September 30th, (in class)

Exam 2: Monday, November 11th, (in class)

Final Exam: Wednesday, December 11th, 10-11:50am (same room as the class). Comprehensive, think of the final exam as half exam 3 and half comprehensive final

Exam Policies: No books, calculators or computers allowed on the exams or the final. One page (one sided) of notes allowed on the exams.


Assigned weekly (some weeks may be skipped). Homework will be done using WeBWorK. See:
You will have been sent instruction on how to log in by email during the first week.


We will be using Gradescope ( for all exams. I'll add you to the class after the first week or so, and you'll get an email on how to log in.

Missed Work:

No makeup or late homework. For exams, there will be reasonable accommodation if you have a valid and documented reason, and the documentation is provided in advance unless absolutely impossible. If you have a university approved (see the syllabus attachment) final conflict exam, you must tell me at least two weeks befre the final exam week, so so that we can figure out what to do.

Syllabus attachment:

See the official syllabus attachment, for some more information.

Interesting links:

Wolfram Alpha ( It's like Google for math.

Speaking of Google: try typing something like x^2-y^2.

Although no, Google will not likely solve your homework problems for you. Even if it did, it would not be a good idea. The reason for doing the homework is to learn how to do it. If you simply try to find solutions online, and do manage to find them, you will not learn anything and you will see the result of this on the exams. Also it is considered cheating (and plagiarism) to find solutions online and claim them as yours. Don't do it!

It never hurts to learn how to use LaTeX if you want to type up stuff with lots of math. It not only increases legibility of your work, it also increases your nerd factor by an order of magnitude (that's a good thing). For easy to use LaTeX frontends try TeXworks (Linux, Windows, Mac) or TeXShop (Mac). Or perhaps give LyX (Linux, Windows, Mac) a go. Lyx might be the easiest of the bunch, though it is not as flexible.

The easiest way to type LaTeX without installing anything is online on Overleaf.

Valid HTML 5! Valid CSS!