MAT 303: Calculus IV with Applications

Fall 2018

Department of Mathematics
Stony Brook University

Course Description: This course will introduce basic methods for solving ordinary differential equations, with a particular emphasis on linear differential equations with constant coefficients and systems of differential equations. Differential equations are the language in which the laws of physics are expressed, and have numerous applications in the physical, biological, and social sciences. We will discuss many standard applications. We will also briefly discuss some numerical methods for solving differential equations.

Textbook: Differential Equations: Computing and Modeling, by C. H. Edwards, and D. E. Penney. 4th edition, 2007, Pearson.

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

Instructor: Marcus Khuri, Math Tower 3-122. Office Hours: MW 4:00pm-5:00pm, F 2:00pm-3:00pm. Email: khuri@math.sunysb.edu

Course Assistants: 1) Matthew Dannenberg, Math Tower 2-122, Office Hours: Thursday, 5:30pm-6:30pm. Email: matthew.dannenberg@stonybrook.edu

2) Hang Yuan, Math Tower 5-125A, Office Hours: Friday, 2:00pm-3:00pm. Email: hang.yuan@stonybrook.edu

Class schedule: MWF 12:00pm-12:53pm, Harriman Hall 137

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 Wednesday of the following week at 3pm. A box or envelop will be placed outside the office of your course assistant, where you may turn in your homework. Late homework will not be accepted. Homework will account for 25% of the total grade.

Homework 1 (Due 9/5) - §1.4: 13, 21, 34, 37, 48; §1.5: 12, 18, 22, 31, 36; The Problems.

Homework 2 (Due 9/12) - §1.6: 4, 10, 28, 32, 36, 37, 44, 61, 69;

Homework 3 (Due 9/19) - §2.1: 9, 15, 16, 23, 26; §2.2: 3, 9, 21, 23;

Homework 4 (Due 9/26) - §2.3: 2, 7, 10, 20, 24; §2.4: 3, 14; §2.6: 4, 8;

Midterm examination in class on Friday, September 28. It covers Chapters 1 & 2 minus Section 2.5. Exam I solutions.

Homework 5 (Due 10/10) - §3.1: 4, 15, 22, 25, 34, 39; §3.2: 6, 18, 21, 23;

Homework 6 (Due 10/17) - §3.3: 6, 13, 24, 29, 34; §3.4: 2, 6, 8, 10, 22;

Homework 7 (Due 10/24) - §3.5: 8, 23, 37, 48, 55; §3.6: 11, 19, 21, 24, 25;

Homework 8 (Due 10/31) - §3.7: 2, 5, 8, 9, 11; §3.8: 1, 3, 8, 10, 15;

Midterm examination in class on Friday, November 2. It covers all of Chapter 3. Exam II solutions.

Homework 9 (Due 11/14) - §4.1: 2, 15, 24, 26, 30; §5.1: 3, 15, 17, 22, 27;

Homework 10 (Due 11/26) - §5.2: 6, 15, 20, 25, 28; §5.3: 2, 8, 13, 15, 21;

Homework 11 (Due 11/28) - §5.4: 7, 11, 14, 18, 20;

Homework 12 (Due 12/5) - §5.5: 2, 10, 18, 21, 27; §5.6: 2, 6, 10, 15, 17;

Final exam solutions.

Exams: There will be two in class midterms on Friday, September 28, and Friday, November 2. The final exam will be held on Monday, December 17 from 11:15am-1:45pm in Javits 100. Each midterm accounts for 20% of the total grade, and the final accounts for 35%.

Make sure that you are available at these times, as there will be no make-ups for missed exams. If you miss an exam for an acceptable reason and provide a valid written excuse, the relevant midterm will be dropped in computing your course grade. An Incomplete grade will be granted only if documented circumstances beyond your control prevent you from taking the 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 9am-7pm Monday through 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.