MAT 203: Calculus III with Applications

Spring 2025

Department of Mathematics
Stony Brook University

Course Description: Vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. The material provides essential tools for engineering, physics, economics, and life sciences.

Textbook: Multivariable Calculus, 12th edition, by Ron Larson and Bruce Edwards. Note: the book entitled Calculus (also 12th edition) by the same authors contains exactly the same material in Sections 11-16.

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

Instructor: Marcus Khuri, Math Tower 3-122. Click here for office hours. Email: marcus.khuri@stonybrook.edu

Course Assistants: Spencer Gao, Math Tower 2-109. Click here for office hours and email.

Artem Aleshin, Math Tower S-240A. Click here for office hours and email.

Yiheng Dong, Math Tower S-240A. Click here for office hours and email.

Class time: Tuesdays and Thursdays from 11:00am-12:20pm, in Simons Center 103.

Recitations: R01: Tuesday 12:30-1:25pm in Physics P113; R02: Wednesday 11:00-11:55am in Earth-Space 183; R03: Thursday 3:30-4:25pm in Physics P116.

Homework: Homework is a fundamental part of this course, and you will have to work hard on the assigned problems in order to succeed. Assignments will be posted on the course website at the beginning of each week, and will be due on Friday of the following week at 3pm. A box or envelop will be placed outside the office of the course assistant, where you may turn in your homework. Late homework will not be accepted. Homework will account for 30% of the total grade. In order to receive full credit for any problem you must show all of your work, and you must provide full justification for your answers.

Exams: There will be one midterm and a cumulative final. The midterm will account for 30% of the total grade, while the final will account for 40% of the total grade. There will be no make-up exams. If you have a legitimate and well-documented reason for missing the midterm exam, your score on the final exam will be substituted instead. The midterm exam will be on Thursday, March 13 in class. The final exam will take place on Tuesday, May 13 from 11:15am-1:45PM in our classroom: Simons Center 103. By enrolling in this course, you are attesting to the fact that you will be available for the exams at these times.

Homework 1 (Due 2/7) - §11.1: 24, 50, 68, 78; §11.2: 28, 44, 68; §11.3: 16, 38, 60;

Homework 2 (Due 2/14) - §11.4: 16, 24, 32; §11.5: 10, 40, 94; §11.6: 16, 34, 50;

Homework 3 (Due 2/21) - §11.7: 10, 40, 80; §12.1: 14, 28, 60; §12.2: 20, 38, 46;

Homework 4 (Due 2/28) - §12.3: 14, 30, 38; §12.4: 12, 40, 64; §12.5: 14, 26, 88;

Homework 5 (Due 3/7) - §13.1: 32, 40, 48; §13.2: 30, 48, 50; §13.3: 48, 104, 124;

Homework 6 (Due 3/14) - §13.4: 6, 34, 40; §13.5: 12, 34, 44; §13.6: 10, 32, 46;

Midterm solutions.

Homework 7 (Due 4/4) - §13.7: 12, 32, 48; §13.8: 18, 34, 46; §13.9: 12, 16, 22;

Homework 8 (Due 4/11) - §13.10: 6, 24, 46; §14.1: 16, 42, 64; §14.2: 10, 22, 30;

Homework 9 (Due 4/18) - §14.3: 14, 20, 34; §14.4: 10, 20, 32; §14.5: 10, 14, 20;

Homework 10 (Due 4/25) - §14.6: 8, 24, 34; §14.7: 8, 16, 42; §14.8: 6, 20, 26;

Homework 11 (Due 5/2) - §15.1: 10, 42, 62; §15.2: 22, 34, 38; §15.3: 6, 22, 26;

Homework 12 (Due 5/9) - §15.4: 14, 20, 28; §15.5: 10, 26, 36; §15.6: 8, 24, 30;

The midterm exam will cover Sections 11.1-11.7, 12.1-12.5, and 13.1-13.3. Practice exams from years past may be found here under the heading "Midterm 1 Practice Exams". Note that not all of these practice exams are relevant for the sections covered on our exam. In particular, the two practice tests from Fall 2019 are not relevant for our midterm.

The final exam is cumulative, but will have a focus on the material that was not covered on the midterm exam, that is Sections 13.4-13.10, 14.1-14.8, and 15.1-15.6. Practice exams from years past may be found here under the heading "Final Exam Materials". Note that of these practice exams "Midterm 2", "Practice Exam 1", and "Practice Exam 2" are the most relevant for our final exam.

Help: The Math Learning Center (MLC) is located in Math Tower S-235, and offers free help to any student requesting it. It also provides a locale for students wishing to form study groups. The MLC is open 10am-7pm Monday through Wednesday, 10am-6pm Thursday and 10am-2pm on Friday. A list of graduate students available for hire as private tutors is maintained by the Undergraduate Mathematics Office, Math Tower P-143.

 
Disability Support Services (DSS)
If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services, ECC (Educational Communications Center) Building, room 128, (631) 632-6748. They will determine with you what accommodations, if any, are necessary and appropriate. All information and documentation is confidential. Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: http://www.stonybrook.edu/ehs/fire/disabilities

 
Academic Integrity
Representing another person's work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. Faculty in the Health Sciences Center (School of Health Technology & Management, Nursing, Social Welfare, Dental Medicine) and School of Medicine are required to follow their school-specific procedures. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/commcms/academic_integrity/index.html

 
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 Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits students' ability to learn. Faculty in the HSC Schools and the School of Medicine are required to follow their school-specific procedures.