AMS 361 - APPLIED CALCULUS IV

SPRING 2007

FINAL Exam Time/ Place: 14th of May, Monday 8.00-10.30am
LIGHT ENGINEERING LAB, Room 102
Instructor: Tulin Kaman
Office: Math Tower P-134B
Class Time/ Place: M-W 8:05-9:25am
LIGHT ENGINEERING LAB, Room 102
Office Hours/Location: M-W 2:00-3:00pm, Math Tower P-134B
Email: tkaman@ams.sunysb.edu
Textbook: Differential Equations and Boundary Value Problems, Computing and Modelling, Edwards & Penney, 3rd edition
Reference: Lecture Notes for AMS361 by Professor Yuefan Deng
Teaching Assistants: First recitation sections start at the second week of the semester.
Homeworks and exams are graded by four TAs by rotation.
Rec Sect Name E-mail Rec Hours/Location Office Hours/Location
R01 Xingtao Liu liuxt12@ams.sunysb.edu M 10:40-11:35am, Earth & Space Bldg, Room 181 M 12:00-2:00pm,
Math Tower S250
R02 Yeona Kang yeona@ams.sunysb.edu F 10.40-11:35am, Melville Lbr, Room N4072 W 12.00-2.00pm,
Math Tower A-147
R03 Adam Wittenstein wittensa@ams.sunysb.edu Tu 02.20-3.15pm, Melville Lbr, Room E4315 Tu 12.30-2.00pm,
Harriman 010
R04 Xiaomei Ji xji@ams.sunysb.edu Th 12.50-01.45pm, Physics, Room P125 Th 11.00am-12.30pm,
Math Tower P134B
Course Outline:
Ch Topics
1 First Order Differential Equations
2 Mathematical Models and Numerical Methods
3 Linear Equations of Higher Order: 3.1, 3.2, 3.3, 3.5
4 Introduction to Systems of Differential Equations: 4.1, 4.2
5 Linear Systems of Differential Equations: 5.1, 5.2, 5.4, 5.6
6 Laplace Transform Methods
Grading: The final grade is based upon the following
  • Homework assignments 30%
  • Midterm I ( March 5th, Monday): 20%
  • Midterm II ( April 16th, Monday) : 20%
  • Final: 30% ( TBA )
Exams Two midterm tests in class and one final.
  • Tests are open-book.
  • Sample tests are announced before exams.
Exam PDF Solutions
Sample_Test_I Solution of Question 4 in Sample_Test_I
Thanks to Amr.
1- Group A Spring 07-Test_I A Solution of Spring 07-Test I A
1- Group B Spring 07-Test_I B Solution of Spring 07-Test I B
Sample_Test_II
2- Group A Spring07-Test II A Solution of Spring07-Test II A
2- Group B Spring07-Test II B Solution of Spring07-Test II B
Sample_Final
Homework: 9 Homework assignments weekly.
  • Announced on Monday and collected on due date in the class.
  • Late homeworks are graded using the formula max(score(1-20%*number of late days, 0)).
  • No assignment for the week when exam would be taken.
RungeKutta.c The code written in C finds the approximate solution of Problem 6 in Section 2.6.
HW Due Date Problems Solutions
1 M 02/05 Hw1.pdf Hw1_sol.pdf
2 M 02/12 Hw2.pdf Hw2_sol.pdf
3 W 02/28 Hw3.pdf Hw3_sol.pdf
4 M 03/07 Hw4.pdf
5 M 03/19 Hw5.pdf Hw5_sol.pdf
6 M 03/26 Hw6.pdf Hw6_sol.pdf
7 M 04/09 Hw7.pdf Hw7_sol.pdf
8 M 04/23 Hw8.pdf Hw8_sol.pdf(more steps will be shown soon in calculations.)
9 M 05/2 Hw9.pdf Hw9_sol.pdf(more steps will be shown soon in calculations.)
Homework9_Problem1
Syllabus
Lec Date Topic Readings
1 M 01/22 Differential Equations and Mathematical Modeling Ch 1.1
2 W 01/24 Integrals as General and Particular Solutions Ch 1.2
3 M 01/29 Slope Fields and Solution Curves Ch 1.3
4 W 01/31 Separable Equations and Applications Ch 1.4
5 M 02/05 Linear First-Order Equations Ch 1.5
6 M 02/07 Substitution Methods Ch 1.6
7 M 02/12 Exact Differential Equations Ch 1.6
8 M 02/14 Reducible Second-Order Equations Ch 1.6
9 M 02/19 Chapter:1 Summary
Population Models		 Ch 1
Ch 2.1
10 W 02/21 Equilibrium Solutions and Stability Ch 2.2
11 M 02/26 Morning classes canceled due to weather conditions. X
12 W 02/28 Acceleration-Velocity Models Ch 2.3
13 M 03/05 Exam - 1: Your own notes and textbook are allowed during the test. Ch1.1-Ch2.2
14 W 03/07 Numerical Approximation: Euler's Method
The Improved Euler Method		 Ch2.4
Ch2.5
15 M 03/12 The Runge-Kutta Method
Introduction: Second-Order Linear Equations		 Ch2.6
Ch3.1
16 W 03/14 Linear Second-Order Equations with Constant Coefficients
General Solutions of Linear Equations		 Ch3.1
Ch3.2
17 M 03/19 Nonhomogeneous Equations
Homogeneous Equations with Constant Coefficients		 Ch3.2
Ch3.3
18 W 03/21 Complex Roots
Nonhomogeneous Equations and Undetermined Coefficients		 Ch3.3
Ch3.5
19 M 03/26 Nonhomogeneous Equations and Undetermined Coefficients Ch3.5
20 W 03/28 Variation of Parameters, Review of HW Problem sets Ch3.5
M 04/02 SPRING BREAK
W 04/04 SPRING BREAK
21 M 04/09 Introduction to Systems of Differential Equations Ch4.1 - Ch4.2
22 W 04/11 Review for Test II(based on your questions)
23 M 04/16 Exam - 2 Ch2.3 - Ch4.2
24 W 04/18 Linear Systems of Differential Equations Ch5.1-Ch5.2
25 M 04/23 Linear Systems of Differential Equations(cont.)
Laplace Transform Methods		 Ch5.2
Ch7.1
26 W 04/25 Laplace Transform Methods Ch7.2 - Ch7.3
27 M 04/30 Laplace Transform Methods Ch7.4
28 W 05/02 Final Review: Please come to class with preparation for final review. Ch1-2-3-4-5-7
M 05/14 Final Only textbook and calculator are allowed.
Disability Act: If you have a physical, psychological, medical or learning disability that may impact on your ability to carry out assigned course work, I would urge that you contact the staff in the Disabled Student Services office(DSS), Room 133, Humanities, 632-6748/TDD. DSS will review your concerns and determine with you what accommodations are necessary and approciate. All information and documentation of disability are confidential.