The main topics of this course are (ordinary) differential equations (ODE's), especially linear ones, and linear algebra. Just like linear algebra is needed to obtain a full understanding of the calculus of functions of many variables, so its also an essential ingredient in understanding how to solve linear ODE's. These ODE's are equations involving functions of one variable - in contrast to the multivariable calculus in MAT 307. We will also delve a little bit into the world of nonlinear ODE's.
MAT 307 and MAT 308 together cover the same material at MAT 203, MAT 211 and MAT 303 at a somewhat more theoretical level. This means that this course is going to move quickly and will be a significant amount of work. Since about half of the linear algebra material was covered already in MAT 307, you should have taken either MAT 307 or MAT 211 before taking MAT 308.
There is a lot of material in the text that cannot be covered in class, and you will need to read the relevant sections on your own. The text is rather densely written, so you may not understand it on the first or even second reading. Keep trying - it will eventually pay off handsomely. Ask questions to your instructor and TA.
FINAL EXAM: Monday, May 13, 8:30 - 11:00pm, in the usual lecture room: Library W4530
The exam will be cumulative, covering the full semester: roughly 1/3 linear algebra and 2/3 differential equations.
Here is a Practice Final Exam:
Ignore the first few pages of the Practice exam and start only with Problem 2 on. No sheet of notes allowed on this exam.
Midterm II: Take Home Exam, Wed. Apr 17. Due in class on Mon, Apr 22.
Pick up exam at end of lecture class on Wed, Apr 17.
Email me if you have any questions during the exam.
Exam Topics: Chapters 11, 12, 13.1-13.2
Midterm I: Wednesday, March 6, 4-5:20pm, in Lecture Class.
Exam Topics: All of Chapter 3 + what we did in Chapter 10.
Here are two practice midterms. They are from the previous 2 years of MAT 308.
This exam covers material that will be on the exam, but it rather easy. Our exam will probably be harder.
This exam is quite hard. Its a take home exam, allowing notes, text, etc, but is more difficult than our exam. Problem 7(c) won't come up, nor will anything like Problem 10.
Topics in text to skip:
Ch.11.7 - but read phase portait discussion in Ch.11.7C
Topics in text to read:
Ch.10.2-10.3; some of the applications. You choose whatever interests you.
Lecture and Recitation
Final Exam: Monday May 13, 8:30-11:00pm, Place: TBA
Earth & Space
Seyed Ali Aleyasin
Instructor: Michael Anderson
Office Location: 4-110 Math Tower
Email: anderson at math.sunysb.edu
Web site: http://www.math.sunysb.edu/~anderson
Office hours: Tu/Th/F 2-3pm & by appointment in 4-110 Math Tower
Recitation Instructor (TA):
R01: Seyed Ali Aleyasin
Email: aleyasin at math dot sunysb dot edu
Office: 2-121 Math Tower
Office hours: Th, 1-3pm in MLC, Th, 3-4pm in 2-121
Multivariable Mathematics, 4th Edition, by Williamson and Trotter (Pearson/Prentice-Hall, Inc.).
As last semester in MAT 307, there will be both Homework assignments and quizzes, alternating roughly weekly; one week HW, the next week quiz, etc. There will be HW problems given roughly every week - see the assignments below - and each quiz may contain problems taken from the HW assignments. HW will be collected during the recitations, as determined by your TA; they should always be turned in at the beginning of the recitation class. Please, remember that your solutions of the homework problems and quizzes are important documents. You should keep them to the end of the semester.
Although only a random selection of problems on each homework will be graded by your TA, it is important that you do all the HW problems (or at least as many as possible). You should not expect to do well on the exams without the work and experience that goes into solving the HW and quiz problems.
Late homeworks will not be accepted except under very exceptional circumstances. Likewise, no late quizzes will be given. All policies regarding HW, quizzes and your grades for this part of the course are fully decided by your TA.
Grades will be computed according to the following percentages:
Homework and Quizzes
Midterm I, Wed. March 6, in class
Final Exam, Monday, May 13, 8:30-11:00pm, Place: Library W4530
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.
Resources: If you have questions regarding the course material at any time during the semester, you are encouraged to visit your instructor or TA during office hours, or make a separate appointment if necessary. Your instructors will also reply to email, within reason. Another excellent source of help is the Mathematics Learning Center (S240A in the Math Building - basement level), which is staffed by advanced math majors, graduate students and faculty daily. For a schedule of their 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,privleges, 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.
Schedule of Topics
In the table below, HW means homework is due to hand in, Q means quiz.
10.1: 1st order DE, direction fields
10.2: Separation of variables
10.3: linear equations, integrating factors
10.1A: 2, 3, 7, 8, 11, 20, 25
10.2: 4, 9, 18, 19, 21
10.3: 6, 7, 11
Feb 7, HW
3.1: Linear Maps/Euclidean spaces
3.2: Vector Spaces
3.3: Linear Maps/Vector spaces
3.1: 2, 4, 6, 8, 12, 19
3.2 : 6, 7, 8, 10, 11, 12, 16, 20, 23, 24
3.3: 8, 9, 13, 17
Feb 14, Q
3.4 Image and Null Space
3.5 Coordinates and Dimension
3.6 Eigenvalues and Eigenvectors
3.4: 8 - 12, 16, 18, 19, 21
3.5AB : 4, 8, 15-17, 24, 27
3.5C: 3, 4, 7, 8
Feb 21, HW
3.6 Eigenvalues and Eigenvectors
3.7 Inner Products
3.6A:2, 4, 6, 9, 13, 14
3.6BC:4, 7, 8, 9, 10
3.7A:1, 2, 8
Feb 28, Q
MidtermI, Wed. March 6
No HW/Quiz this week
11.1 Differential Operators
11.2 Complex Solutions, Higher Order Eqns
11.3 Nonhomogeneous Eqns
11.1: 8, 9, 14, 16, 38
11.2A: 15, 18, 20, 31, 32
11.2BC: 1, 4, 8
March 14, HW
11.5 Laplace Transform
11.3AB: 2, 5, 6, 10
11.3CD: 2, 9
11.5:19, 20, 21
March 28 Q
12.1 Vector Fields
12.2 Linear Systems
12.1ABC: 1, 4, 7, 8, 24, 34,
12.2: 5, 18
Apr 4, HW
13.2 Matrix exponentials
12.1ABC: 2, 3
13.1: 7, 10, 11, 15
Apr 11, Q
13.3 Non-homogeneous equations
Midterm II:Take-Home Exam, Wed Apr 17
-- Midterm Discussion
13.4 Equilibrium and Stability
No HW/Q this week
13.4 Equilibrium and Stability
13.4 Nonlinear Systems
14.6 Differential Equations
13.4A2, 4, 6, 13, 21
13.4B2, 5, 9
May 2, HW
14.6/14.7 Power Series Solutions
14.6: 5, 8
14.7: 3, 4
May 9, Q