Calculus III with Application (MAT 203)

Stony Brook University, Fall 2020

Vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. Applications to economics, engineering, and all sciences, with emphasis on numerical and graphical solutions; use of graphing calculators or computers. May not be taken for credit in addition to AMS 261 or MAT 205.

Prerequisite: C or higher in MAT 127 or 132 or 142 or AMS 161 or level 9 on the mathematics placement examination

Course information (Please read carefully for the changes due to online teaching):

Lectures:

Stony Brook University, Fall 2020,
MW 6:05pm- 7:25pm,
Lectures will be delivered live via Zoom.

Instructor: Babak Modami

Office: MATH Tower 3-114,
Office hours: MW 1-2pm, MLC: W 9-10am
Email: babak.modami@stonybrook.edu,
All office hours and MLC sessions will be held live through Zoom.

You can access recorded lectures from Blackboard (Course Documents --> Lectures).

Teaching assistants:

Shamuel Auyeung
Office: MATH Tower S-240A,
Office hours: Tu 4-5pm, MLC: W 5-7pm
Email: shamuel.auyeung@stonybrook.edu,

Zhang Bowen
Office: MATH Tower S-240A,
Office hours: Tu 4-5pm, MLC: W 5-7pm via Zoom
Email: bowen.zhang@stonybrook.edu,

The recitations, office hours and MLC sessions will be held live through Zoom.

Textbook:

Multivariable Calculus (11th edition) by Larson and Edwards

Homework:

WebAssign is the course online platform and you need to get an access code (the first two weeks are free). Weekly assignments (homeworks) will be given through WebAssign (due each Thursday 11:59 pm). You can access WebAssign through Blackboard (Tools --> Access WebAssign).

Exams and grading policy:

Midterm 1: Sep 28, time of class blackboard submission: 20%.
Midterm 2: Nov 9, time of class blackboard submission: 20%.
Final: Dec 10, 2:15pm-5:00pm blackboard submission: 30%.
Homework: three quarters of homework would be enough to get the full credit: 30%.

No make-up exams will be given. If a midterm exam is missed because of a serious (documented) illness or emergency, your semester grade will be determined on the basis of other work done in the course. Exams missed for other reasons will be counted as failures.

Blackboard:

Zoom meetings will be scheduled on blackboard. This includes lectures and office hours. The grades of homework assignments and exams will be posted on the blackboard.
Also recorded lectures, new announcements and various documents like sample exams will be posted on the blackboard.

Resources:

If you have questions regarding the course material at any time during the semester, you are encouraged to visit ONLINE your instructor or TA during office hours, or make a separate Zoom appointment if necessary. Your instructors will also reply to email, within reason. Another excellent source of help is the Mathematics Learning Center (S-235 in the Math Building - basement level), which is staffed by advanced math majors, graduate students and faculty daily. For a schedule of their ONLINE hours, check their website .

Students with Disabilities:

If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, please Disability Support Services at (631) 632-6748 DSS. DSS office: Room 133 in the Humanities Building. DSS will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential. Arrangements should be made early in the semester so that your needs can be accommodated. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and DSS. For procedures and information go to the DSS website above.

Academic Integrity:

Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here .

Critical Incident Management:

Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.

Syllabus:

Week of	Topics
Aug 24	Vector geometry on a plane and in the space. 11.1-11.4
Aug 31	Vector geometry on a plane and in the space. 11.1-11.4
Sep 7	Lines and planes. 11.5, Quadrics and conics. 11.6
Sep 14	Curves and their parametrization. Curvature and torsion. Frenet-Serret formulas. 12.1-12.5
Sep 21	Curves and their parametrization. Curvature and torsion. Frenet-Serret formulas. 12.1-12.5
Sep 28	Functions of several variables. Partial derivatives. Differentiability. Tangent plane. 13.1-13.4 Midterm 1 is on M Sep 28
Oct 5	Chain rule. Implicit differentiation. Gradient and directional derivative. 13.5-13.7
Oct 12	Extreme value problems: maxima and minima. 13.8-13.9
Oct 19	Extreme value problems: maxima and minima. 13.8-13.9
Oct 26	Double integrals. Change of variables. Jacobian. Polar coordinates. 14.1-14.3, 14.8
Nov 2	Triple integrals. Change of variables. Cylindrical and spherical coordinates. 14.6-14.7
Nov 9	Vector fields: Curl, Div. Conservative fields. 15.1,15.3 . Midterm 2 is on M Nov 9
Nov 16	Vector fields: Curl, Div. Conservative fields 15.1,15.3.
Nov 23	ThanksGiving Week; no classes
Nov 30	Integral theorems: Green's and Stokes's and their applications. 15.4-15.8
Dec 2	Review for the Final.
Dec 9	Thursday, Dec. 10, 2:15pm-5:00pm