MAT 303: Calculus IV with Applications

Textbook: Differential Equations and Boundary Value Problems: Computing and Modeling, 3rd Edition, by Edwards & Penney, Pearson/Prentice Hall, 2004.

Note that the second and third editions of the book have similar text, but the problems are different. If you own the second edition, in order to do the homework you'll need to borrow the third edition from a friend, or look at the book in the library, or in the Math Learning Center.

Prerequisite: The completion of one of the standard calculus sequences (MAT 125-127, MAT 131-132, or MAT 141-142) with the grade C or higher in MAT 127 or 132 or 142 or AMS 161. The course will heavily rely on the material covered in the standard calculus sequence. The familiarity with complex numbers and the knowledge of the basic concepts of linear algebra are required. The 200-level courses MAT 203/205 (Calculus III) or AMS 261, and MAT 211 (Linear Algebra) are strongly recommended.

Instructor: Leon  Takhtajan, Math Tower 5-111, Office Hours: Tu W, 4-5 pm, and by appointment.
Phone: 632-8287 email: leontak@math.sunysb.edu

Recitation instructor and grader: Anirban Dutta, Math. Tower 2-121, e-mail: dutta@math.sunysb.edu

Lectures: New material is presented each week at the lectures.You are encouraged to read the corresponding section of the text before attending each lecture.

Class schedule:
 

LEC 1	TuTh	9:50am-11:10am	Hvy Engr Lab	201	Takhtajan, Leon
R01	F	11:45am-12:40pm	S B Union	237	Dutta, Anirban
R02	W	11:45am-12:40pm	Earth&Space	69	Dutta, Anirban

Syllabus

Homework: Doing the homework is a fundamental part of the course and you are supposed to work hard on the problems assigned in order to succeed in the course. Homework will be posted weekly on the web page and will be collected in class on Thursdays, a week after the material is covered in lectures. Late homework will not be accepted, no exceptions. The homework will consist of two parts. The first part deals with analytic problems, solutions to which require only pencil and paper. Problems marked by asterisk are required in order to get the full homework grade. The second part consists of application modules and is based on Maple, Mathematica or MATLAB software packages, as described in the textbook and in the Applications Manual.

Sofware: Maple and Mathematica disks can be purchased from the Seawolves store for $5 each. The disks are not on the shelves, so you have to ask for them (if someone says that they do not sell them, ask for Donald Linne). The Seawolves do not sell MATLAB, which can be purchased directly from Academic Superstore on-line. Maple, Mathematica and MATLAB are installed on ten SINC site computers around campus (in particular, in S-235, Math. Tower).

• HW1 (due Thursday, 2/5 in class)  Ch. 1.1: 6*, 7*, 8*, 10, 15*, 20, 27, 33, 34, 35*, 43*; Ch. 1.2: 2, 6, 8, 10*, 18, 25*, 35*, 42*.
• HW2 (due Thursday, 2/12 in class) Part I. Ch. 1.3: 2 ,4, 8, 12*, 14*, 15*,  27*; Ch. 1.4: 1, 2, 3*, 5*, 11*, 12, 17*, 19*, 27*, 38, 47*. Part II. Application module 1.3 on p. 29, Investigations A & B (only B will be graded). You may warm up by generating the slope fields and some solution curves for Problems 1 through 10 in Ch. 1.3 by using Maple, Mathematica or MATLAB resources.
  
• HW3 (due Thursday, 2/19 in class)  Ch. 1.5: 1, 3*, 4*, 6, 8, 13*, 17*, 30*, 35, 37*, 38*; Ch. 1.6: 1*, 2*, 3, 8*, 16*.
• HW4 (due Thursday, 2/26 in class)  Part I. Ch. 1.6: 21*, 28, 29*, 31*, 32, 33*, 34, 35*, 37*, 39, 42, 43*, 44*, 45, 46*, 53*, 57*. Part II. Application module 1.6, Investigation on p. 75 (fine tune parameters of DEplot window, etc., so that your direction field and typical solution curves would be of the same quality as those in fig. 1.3.25 on p. 29).
• HW5 (due Thursday, 3/4 in class; extended until Tuesday, 3/9) Ch. 2.1: 3*, 11*,  22*; Ch. 2.2: 4, 6*, 8, 12, 14*, 21*; Ch. 2.3: 2*, 4*, 10*, 27*, 28*.
• HW6 (due Thursday, 3/11) Part II (there is no Part I).  Ch. 2.4: 5*, 27* and famous numbers investigation on p. 121; Ch. 2.5: 5*, 27* and famous numbers investigation revisited on p. 131; Ch. 2.6: 5*, 27* and famous numbers revisited one last time,  on p. 142. Here is the link to implementation of numerical methods using Maple and Mathematica.
• HW7 (due Thursday, 3/18 in class) Ch. 3.1: 1*, 3, 7, 9*, 11, 13*, 15, 19*, 20, 22, 24*, 29*, 33*, 37*, 45*, 46*.
• HW8 (due Thursday, 3/25 in class) Ch. 3.2: 1, 3, 5*, 8*, 10, 12, 15*, 22*, 27*, 30*, 31; Ch. 3.3: 8*, 9*, 21*, 22*, 23*.
• HW9 (due Thursday, 4/1 in class) Part I. Ch. 3.3: 11*, 14*, 15*, 17*, 19*, 20*, 27*, 33*, 36*, 51. Part II. Application module 3.3 on p. 181-182 1,3,5.
• HW10 (due Thursday, 4/15 in class) Ch. 3.5: 2*, 4*, 6*, 8, 25*, 27*, 29*, 35*, 41*, 47*, 49*, 51, 53, 55*.
• HW11 (due Thursday, 4/29 in class) Ch. 5.1: 12, 14*, 21*, 27*; Ch. 5.2: 1*-15* odd, 31*, 35, 38*, 39, 40*, 41.
• HW 12 (due Thursday, 5/6 in class) Ch. 5.4: 1, 3, 5*, 7*, 9, 11*, 12, 15*, 17, 19*, 21*; Ch. 5.5:  3, 5, 9*, 11*;  Ch. 6.1: 1-5,  13*-15*; Ch. 6.2: 1*, 3*, 5*, 7*.
  

Exams:

• Midterm I: (in class) Thursday, March 4. Solutions.
  

• Midterm II: (in class) Thursday, April 22 Solutions.
  

• Final Exam - Time: Tuesday, May 18, 8:00-10:30 am; Place: HARRIMAN 137. The exam is cumulative; it covers all material used for Midterms I and II, as well as Sections 4.1, 5.1, 5.2, 5.4, 5.5, 6.1 and 6.2. To prepare for the exam it is important to review all homework problems (no Part II problems!) and solutions to Midterms I and II. For the material covered after Midterm II, the best practice is to go over homework assignments 11 and 12. While understanding how to solve these problems it is very helpful to consult corresponding material in the textbook and examples.

• Additional  office hours during the finals week: May 12-14: 3-4 pm, May 17 3-4 pm and by appointment (by e-mail).
  

Grading: Your course grade will be based on your examination performance and homework, weighted as follows: two midterms in class 20% each, homework Part I 20%, homework Part II 10%, and the final exam 30%.

Help: The Math Learning Center (MLC) is in S-240A, Math. Tower. This is a place where students can go for help and where study groups can meet. The MLC is open 10 am-9pm Monday through Wednesday,  10am-6pm Thursday and 10am-2pm on Friday. If you want a private tutoring, there is a list of mathematics graduate students who tutor in the Undergraduate Mathematics Office, Math. Tower, P-143.

All necessary information regarding the course will be regularly posted on the World Wide Web, and can be accessed by pointing your browser to

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 are necessary and appropriate. All information and documentation is confidential. Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site: http://www.www.ehs.stonybrook.edu/fire/disabilities.asp