MATH 309-502    Linear Algebra for Differential Equations
Spring 2013                

Instructor: Igor Zelenko
Office: Milner 324
E-mail: zelenko AT math.tamu.edu (please include Math 309 in title)
Web page: /~zelenko/S13M309.html
(check regularly for class announcements,  class notes, important information, etc.)
Office Hours: M 2:00pm-3:00pm, W 10:00am- 11:00am, F 11:00 a.m.- noon and by appointment (in Milner  324).
Class hours:   MWF 12:40 AM –13:30 PM BLOC 160
                      

MATH 309 web page:  The web page of the course is /~zelenko/S13M309.html


Course Description:  The course is an introduction to the following two mathematical disciplines : Linear Algebra and elements of Partial Differential Equations.

The Linear Algebra part consists of  systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonal functions,

The Partial Differential Equations part consist of separation of variables, Fourier series, Bessel functions.

 Prerequisutes:  MATH 221, MATH 251, or MATH 253; MATH 308 or concurrent enrollment; junior or senior classification or approval of instructor. Credit will not be given for more than one of MATH 304, MATH 309, MATH 311 and MATH 323.

 Required texts:
             
  Grade Ingredients: Your grade will be determined by homework assignemnets (20%) , three midterm exams  and the  final exam
(each exam  has weight of 20% each) .

    Letter Grades: A(90-100%), B(80-89%), C(70-79%), D(60-69%), F(0-59%)
(I have been known to curve final grades if I feel that it is warranted.)
    Homework assignments will be usually posted in the course page  everyWednesday and will be due next Wednesday in class. For the homework policy see
/~zelenko/S13309Hmwk.html

   Exams: The midterm exams will take place in evenings,  out of regular class. Dates/times and  locations for the midterm exams  to be announced. I will give at least a week’s notice. I plan to give them every approximately every four weeks on Thursdays, 7:30pm -9:00 pm (It  depends on room availability and on how quickly we get through material).

   Final Exam: A  final exam will be given  according to the schedule posted at http://registrar.tamu.edu/general/finalschedule.aspx#_Spring_2013

    Calculators will NOT be allowed on the exams and Final. Remember to bring your ID with you for all exams!

   Tentative weekly schedule: (Week 1-Week 10: Linear Algebra part, Week 11 till the end: Partial Differential Equations part)
Week 1(1/14-1/18 )- Leon,sections1.1-1.2
Week 3 (1/28-2/1) -sections1.5, 2.1-2.3 Week 5(2/11-2/15)-sections 3.3-3.5 Week 7 (2/25-3/1)-sections 4.1-4.3
Week 9 (3/18-3/22)-  sections 5.1, 5.4, 5.5
Week 2 ( 1/23, 1/25) -sections 1.3-1.4
 Week 4 (2/4-2/8) -sections 3.1-3.3 Week 6 (2/18-2/22)-sections 3.5,3.6, 4.1) Week 8 (3/4-3/8)-sections 6.1-6.3 Week 10 (3/25-3/29)-sections 5.5, 6.6 (tentatively)

Week 11 (4/1-4/5) Introduction for the boundary value problems; Classification of PDE's, Solutions by separation of variables;
Week 12 (4/8-4/12) Fourier series and Dirichlet Conditions; Half-range sine and cosine series;
Application of Fourier series;
Week 13 (4/15-4/19) Application of Fourier series (continued); Introduction to Bessel functions;
Week 14 (4/22-4/26) Orthogonality and series of Bessel functions and application of Bessel functions to PDE's;
Week 15 (4/29, 4/30) Application of Bessel functions to PDE and review.

    Class Announcements And E-Mail Policy: Class announcements will be posted on my homepage. It is your responsibility to check them weekly. Some important course announcements might be sent to your NEO e-mail account. It is your responsibility to check the NEO account and get familiar with the announcements.

   Make-Up Policy: If you miss an exam, you must contact me within 48 hours. Exams must be made up within 30 days and require appropriate documentation of a university-excused absence.

   Late Work Policy:  Late homework is not generally accepted, but it may be accepted at the discretion of the instructor; an early request is more likely to receive a positive response.

   Attendance is important. Attendance and participation may also count as 3% of the final grade. Attendance and participation will only be used to help a student's grade, and it will be determined by judgment of the instructor. If class attendance and participation are insufficient, the final grade will be averaged without. The percentages for the other elements will be reduced proportionately if class participation is averaged in. Attendance and participation  will be evaluated primarily by a sign-in sheet which will be available at the beginning of class and secondarily by the subjective opinion of the instructor. The sign-in sheet will be collected shortly after class begins, be sure to arrive promptly and sign-in if you want credit. Note, if you sign the roll sheet, you are expected to remain in the classroom for the entire 50 minutes.

   Grade Complaints:  Any questions regarding grading/scoring of exams must be made before the exam leaves the room or no change in grade will be made. If you need more time to look at an exam and do not want to lose your right of protest, hand it back to me at the end of class, and arrange to come to office hours.
Because of privacy rights, I cannot discuss grades over email or telephone.
     Regarfing homework assignments grades, sometimes the instructor or TA might make a mistake grading your work. If you feel that this has happened, you have one week since the graded work was handed back to you to talk to the instructor. If a mistake is confirmed, the grade will be changed. No complaints after that deadline will be considered.

   Electronic Device Policy: Cell phones, laptops, and other electronic devices must be silent and put away during class. If you are unable to comply with this policy, you will be asked to leave class.

   Class Etiquette: I expect that during class you stay focused on learning the mathematics being taught. You should not be reading a  newspaper or materials from another course, you should refrain from discussion not related to class and you should not leave class early unless you have cleared it with me first. If I feel you are being disruptive or disrespectful during class, you may be asked to leave.
 
   Scholastic Dishonesty: "An Aggie does not lie, cheat, steal, or tolerate those who do." Visit http://www.tamu.edu/aggiehonor and follow the rules of the Aggie Honor Code. Each student  is responsible for turning in their own unique work. During exams and quiz, you are not allowed to receive any kind of assistance from anyone. Any instance of scholastic dishonesty will be handled according to the processes outlined on the Honor Code website at http://www.tamu.edu/aggiehonor/Processes/reportingandadjudication.html .

   Getting Help: First, if you have a question, do not hesitate to ask before, after, or during a class. Second, I encourage you to attend
my office hours to get individual help. You do not need an appointment to come to regular office hours. If your schedule does not permit
you to come to the announced office hours, send me an e-mail with your schedule and we will make an appointment to meet at some other
day/time. I have been told that there may be a help session room for this class, depending on availability of graduate students. If this will happen, the time and place of this session will be announced as soon as possible.

    Students With Disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Services for Students with Disabilities (Cain Hall, Room B118, or call 845-1637).
    
    Copyright Policy: All printed materials disseminated in class or on the web are protected by Copyright laws. One copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited.

Note: This syllabus is subject to change at the instructor's discretion. The instructor reserves the right to make any changes he considers academically advisable. It is your responsibility to attend classes and keep track of the proceedings.
GOOD LUCK IN YOUR STUDIES!