Fall 2020 MATH 250 Calculus III Course Topics

Fall 2020 MATH 250: Calculus III

Course Topics • Mini Review: Parametric Equations and Polar Coordinates • Vectors and Three Dimensional Analytic Geometry • Calculus of Vector Functions • Differentiation in Several Variables • Multiple Integration • Line and Surface Integrals • Fundamental Theorems of Vector Calculus The tentative detailed schedule of the course can be found at http: //home. sandiego. edu/~pruski/m 250 f 20 schedule. html.

Course learning outcomes • Students will demonstrate a working knowledge of multivariable calculus topics. This includes knowledge of theorems with complete assumptions. • Students will demonstrate the ability to use methods of multivariable calculus and perform computations accurately and efficiently. • Students will demonstrate the ability to solve problems, including applications outside of mathematics. • Students will be able to construct elementary calculus proofs independently. • Students will demonstrate the ability to communicate mathematical ideas clearly.

Attendance Regular attendance is really necessary. It is quite difficult to catch up with the material when you miss a class. It becomes virtually impossible, if you miss several classes.

Pace of the course will be EXTREMELY FAST, particularly in its first, relatively easier part. In the past years, students called the pace of the course

INSANE!

HELLISH!

RIDICULOUS!

Calculus III should really be an at least 5 -unit course!

Be afraid… very afraid…

Another difficulty • The sequence of the course material is unfortunate – the first three chapters cover relatively easy material whereas the last four deal with really tough stuff. • Some students breathe with relief after the first test (“Hey, that’s not so bad – Pruski was just trying to scare us. ”), and then …

WHAM!!!!

And then again and again WHAM!!!

Yet another difficulty Your instructor taught the course over 20 times – multidimensional calculus is one of his specialties. Yet he has NEVER taught a course remotely. For the first week or two he will be learning how to teach, which may be painful to watch. All criticisms and suggestions as to how he can improve the pedagogy are very welcome. Help me help you!!!

Calculus facts of life A student is supposed to spend at least two hours at home for each class hour. Thus, you should expect spending at least 8 hours a week (more likely about 10 hours) doing your homework and preparing for quizzes/exams. Since Calculus III is a course in mathematics, we will be doing some simple proofs. You will be expected to do some proofs in your homework assignments as well as during exams.

No emphasis on computations Computations are way less important than setting up the problem correctly. Calculators and computers can do the computations; only people, however, can set the problems for computations. In this course, the concepts count much more than computations.

Consequently, In class I will usually omit the computational details of, say, integrations. When doing your homework, you will be encouraged to use integration tables, advanced calculators, or various Web tools, except for some problems that I will ask you to solve completely manually.

Calculator policy Because of de emphasizing computations, you will usually have little to compute during quizzes and exams. You will mainly have to set the computations up or perform “mock computations” on made up, “easy” numbers. No calculators, cell phones, or similar devices are allowed on quizzes and exams

Office hours Monday Tuesday Thursday 11 - 12 2 -4 11 - 1 The best way to contact me is by using email (pruski@sandiego. edu). I read e-mail many times during the day and night, except for one or two weekends when I am out of town.

Course webpage A primitive webpage for the course is at http: //home. sandiego. edu/~pruski/m 250 f 20. html You should check the webpage daily for assignments, announcements, and links.

Assignments Once or twice a week. Graded partly on effort.

Quizzes and exams Pop-quizzes: about 8 – 9 of those Two tests: September 18 and October 23 Final exam: November 20, 5: 00 – 7: 30 Remote exam and quiz strategies: I have not decided on any one particular strategy. Most likely we will begin with the students writing the solutions and answers on paper and sending me the pictures taken by a cell phone. Then we will see how it works. Maybe we end up using lockdown browsers via Blackboard? Maybe some other technique?

Grading criteria 90% and above 80% - 90% 60% - 80% 50% - 60% A B C D (with pluses and minuses, appropriately).

Academic integrity The University of San Diego has clearly articulated its policies governing academic integrity and students are encouraged to carefully review the policy. Any deviation from these expectations will result in academic penalties as well as disciplinary actions. The area of greatest potential risk for inadvertent academic dishonesty is plagiarism. Students should also read closely the discussion of avoiding plagiarism that is included in USD’s academic integrity policy.

Academic Accommodations Any student with a documented disability needing academic adjustments or accommodations is requested to speak with me during the first two weeks of class. All discussions will remain confidential. A student attempting to access an academic accommodation for the first time should begin by contacting the Disability and Learning Difference Resource Center (DLDRC) ( https: //www. sandiego. edu/disability/) (619 260 4655 ). It is the student’s responsibility to schedule an “intake” meeting with the Director as soon as possible.