MAT 514

Spring 2005

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Instructor: Karl Barth

Office Hours: Tu 2:30-3:30PM, W 10:30-11:30AM:  206B Carnegie

Grader: Ashish Mandhana (Email: amandhan@syr.edu)

Course Syllabus

Exam Dates:

• Exam 1: Wednesday, February 23
• Exam 2: Wednesday, April 6
• Final exam: Thursday, May 5, 7:15-9:15 PM, 311 Carnegie

Class Notes

• Euler's Method
• Numerical Methods
• Vector/Direction Fields
• Linear Algebra
• Linear Systems: 2 real eigenvalues
• Linear Systems: 2 complex eigenvalues
• Linear Systems: Repeated eigenvalues and zero eigenvalues

Maple Homework Assignments/Worksheets (Not to be turned in.)

• Due M 1/24: Maple Homework 1
• Due M 1/31 Maple Homework 2
• Due M 2/7: Maple Homework 3
• Due M 2/14: Maple Homework 4

Written Homework Assignments (To be turned in.)

• Due W 1/26: Written Homework Set #1: 1.1(2,8,12,20), 1.2(3,14,19,35,36)
• Due W 2/2: Written Homework Set #2: 1.3(1,6,7,14,15), 1.4(6,11)
• Due W 2/9: Written Homework Set #3: 1.5(5,9,11,15), 1.6(1,4,7,13,16,32,37)
• Due W 2/16: Written Homework Set #4: 1.7(1,3,9), 1.8(1,3,9,23)
• Due W 2/23: Written Homework Set #5: 2.1(2,8), 2.2(3,7,13)
• Due W 3/2: Written Homework Set #6: 2.3(13,14,16,19), 3.1(5,9,20,21,22,23)
• Due W 3/9: Written Homework Set #7: 3.1(27,29,31,32),3.2(3,7,11)
• Due W 3/23: Written Homework Set #8: 3.3(5,9,17,19)
• Due W 3/30: Written Homework Set #9: 3.4(3,5,11),3.5(5,21,22)
• Due W 4/6: Written Homework Set #10: 3.6(9,21ab,23ab,26ab), 5.1(4,5,9)
• Due W 4/13: Written Homework Set #11: 4.1(1,5,11,17), 4.2(5,11,15a)
• Due W 4/20: Written Homework Set #12: 4.2(22),4.3(1,9,10,15,20), 6.1(4,5,15,19,23)
• Due M 5/2: Written Homework Set #13: 6.2(5,9,11) 6.3(15,17,31,32), 6.4(3,5)

Projects: The projects must be prepared entirely in Maple and must be at most 5 pages long (including graphs).

• Project #1 due M 2/21:Lab 1.3, pages 140-141 in the text, use Choice 7 in Table 1.10. Your report should answer Parts 1-3, and also the extra: Part 4. What harvest level a would you recommend, and why? Are there adverse consequences possible?
• To prepare your report, assume that you are a project scientist preparing a report for your boss. You must be consise but complete, and communicate clearly:
• the nature of the physical problem
• the mathematical model, including the meaning of any variables you use
• your analysis of the differential equation (qualitative, numeric, analytic)
• your conclusions
• Your grade will be based on the overall quality of communication as well as formal correctness and completeness of your solution.
• Project #1 to be resubmitted on W 3/9.
• Project #2 due M 4/18:The handout with Project #2 will be distributed in class on W 3/23.

Last updated: 4/12/2005