MAT203 Lec 2

MAT 203: Calculus III with Applications

Spring 2025, Lec 2

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: Gorapada Bera, Office: Simons Center 511, Email: gbera@scgp.stonybrook.edu. Instructor’s office & MLC hours: Click here.
Class time: Mondays and Wednesdays from 5:00pm- 6:20pm, in Javits Lecture Center 110.

Course Assistants:

Randall Kayser, Click here for office number, office hours and email.
Decun Hao, Click here for office number, office hours and email.
Yuchuan Tan, Click here for office number, office hours and email.

Recitations: R20: Tuesday 2:00-2:55pm in Light Engineering Building 152; R21: Wednesday 11:00-11:55am in Library W4530 ; R22: Thursday 9:30-10:25am in Physics P112; R23: Friday 2:00-2:55pm in Physics P116.

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 a midterm exam, your score on the final exam will be substituted instead. The midterm exam will be on Wednesday, March 12 in our classroom : Javits Lecture Center 110. The final exam will take place on Wednesday, May 14 from 5:30pm-8:00pm in our classroom: Javits Lecture Center 110. By enrolling in this course, you are attesting to the fact that you will be available for the exams at these times.

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 (for example: Homework 1, Due 2/7). A box or envelop will be placed outside the office of the course assistant (your recitation instructor), where you may turn in your homework. Late homework will not be accepted. If you are unable to submit your homework in person due to health issues or other valid reasons, you may submit it by email. In such cases, supporting documentation is required. 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.

Homework Problems: (From Textbook)

HW 1 (Due 2/7): §11.1: 24, 54, 70, 78; §11.2: 26, 46, 70; §11.3: 18, 40, 62

HW 2 (Due 2/14): §11.4: 14, 22, 32; §11.5: 12, 42, 92; §11.6: 16, 32, 50

HW 3 (Due 2/21): §11.7: 14, 38, 80; §12.1: 14, 28, 60; §12.2: 20, 38, 44;

HW 4 (Due 2/28) - §12.3: 16, 30, 38; §12.4: 14, 38, 64; §12.5: 14, 28, 88;

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

HW 6 (Due 3/28) - §13.4: 6, 34, 40; §13.5: 12, 34, 44; §13.6: 10, 32, 46;

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

HW8 (Due 4/11) - §13.10: 6, 24, 46; §14.1: 16, 42, 64; §14.2: 10, 22, 30;

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

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

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

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

Course Progress: (From Textbook)

1/27: Syllabus, §11.1

1/29: §11.1- §11.2

2/3: §11.3- §11.4

2/5: §11.4- §11.5

2/10: §11.5- §11.6

2/12: §11.6- §12.1

2/17: §12.2- §12.3

2/19: §12.4- §12.5

2/24: §12.5- §13.1

2/26: §13.2- §13.3

3/3: §13.3- §13.4

3/5: §13.5- §13.6

3/10: Review Midterm

3/12: Midterm Exam

3/24: §13.7- §13.8

3/26: §13.8- §13.9

3/31: §13.9- §13.10

4/2: §13.10- §14.1

4/7: §14.2

4/9: §14.3-14.4

4/14:§14.5-14.6

4/16:§14.7

4/21: §14.8-15.1

4/23: §15.1-15.2

4/28: §15.2-15.4

4/30: §15.4-15.6

5/5: Review Final Exam

5/7: Review Final Exam

5/14: 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.