MATH 246H, Differential Equations for Scientists and Engineers; Sections 0101 and 0201; Spring 2006;Th, Th 12:30-1:45; MTH B0421

An introduction to the basic methods of solving ordinary differential equations. Equations of first and second order, linear differential equations, Laplace transforms, numerical methods, and the qualitative theory of differential equations.

Instructor : J. Osborn

Office: MTH 3108, e-mail: jeo@math.umd.edu, Phone: 55129
Office Hours: M 11--12, W 10--11, Th 2--3

Grader: J.T. Halbert

Office: CSS 4364, e-mail: halbert@math.umd.edu, Phone: 58735
Offies Hours: T 4:30-6:00, F 4:30-6:00

Prerequisite: MATH 141 and any of the following: MATH 240, ENES 102, PHYS 161, PHYS 111.

Texts: Elementary Differential Equations, Eighth Edition, Boyce &DiPrima (B&DiP) and Differential Equations with MATLAB, Second Edition, Hunt, Lipsman, Osborn, & Rosenberg (HLOR). 

Course web page: http://www.math.umd.edu/~jeo/246.html

Topics:
Topic Number of Lectures
Introduction 1.5
First Order Differential Equations 5.5
Numerical Methods 2
Second Order Equations 6
Laplace Transforms 2.5
Linear Systems 4
Nonlinear Systems 4.5

Correlation of Topics and Chapters and Sections in Our Texts:
Topic  Chapters and Sections
Introduction Ch. 1 in B&DiP
First Order Differential Equations Ch. 2, Sects.1-6 in B&DiP; Chs.5 and 6 in HLOR
Numerical Methods Ch. 7 in HLOR; Sects. 2.7 and 8.1--8.3 in B&DiP
Second Order Equations Ch. 3, Sects. 1-8 in B&DiP
Laplace Transforms Ch. 12 in HLOR; Ch. 6, Sects. 1-4 in B&DiP
Linear Systems Ch. 7, Sects. 1-7 in B&DiP, Ch. 13 in HLOR
Nonlinear Systems Ch. 9, Sects. 1-5 in B&DiP; Ch. 14 in HLOR

Chs. 1-4 in HLOR should be read in the first week of the course, and Ch. 8 should be read by the middle of the term.

We will be using the software package MATLAB--a system for doing numerical calculations, symbolic calculations, and graphics. We will use MATLAB to symbolically solve differential equations, to numerically solve differential equations, to graph solutions, and to analyze the qualitative nature of solutions. You can access MATLAB in a WAM Lab, in a GLUE Lab, or on your PC if you have the Student Version of MATLAB. You will need MATLAB, Version 7.0 (R14). In the WAM and GLUE Labs, MATLAB 7 is on the Sun workstations and PCs. The Student Version is available in the bookstores and on the MathWorks web site (http://www.mathworks.com). Information on MATLAB, on setting up Glue, WAM, and printing accounts, and on the availability of computers on campus is given below. See (http://www.math.umd.edu/undergrad) for MATLAB Tutoring.

MATLAB Problem Set A is to be done in its entirety. From each of Problem Sets B, C, D&E, and F, four problems will be assigned. These should be done in teams of two students, with each team handing in one paper.

Grading Policy: There will be two in-class examinations and a final exam. Grades will be based on these exams, on the MATLAB assignments, and on homework according to:
In-Class Exams 20% each
Homework 10%
MATLAB Assignments 20%
Final Exam 30%

Honor Pledge: Students are asked to write and sign the Campus Honor Pledge, "I pledge on my honor that I have not given or received any unauthorized assistance on this assignment/examination", on each hour exam and the final exam.

Make-up Policy: Make-up examinations will be given only in the case of an absence caused by illness, religious observance, participation in a University activity at the request of University authorities, or + compelling circumstances beyond the student's control. If you miss an exam, please present convincing reasons for your absence (doctor's note,...) as soon as possible. If possible, an absence should be arranged before the exam.

Students With Disabilities: If you have a documented disability and wish to discuss available academic accommodations, please contact me as soon as possible.

Late Homework Policy: One day late, -10%, two days late, -20%, three days late, 30%; papers not accepted after third day.

Tentative schedule of exams and MATLAB assignment due dates:
Exam or Assignment Date
MATLAB Set A 2/7
MATLAB Set B 2/16
Exam #1 2/28
MATLAB Set C 3/16
Exam #2 4/6
MATLAB  Sets D&E 5/2
MATLAB Set F 5/11

Final Exam: Saturday, May 13, 1:30--3:30pm.


MATLAB Assignments:  All of Set A; due 2/7
                                         Set B: Problems 1, 6, 9, 17
                                         Set C: Problems 1, 4, 7, 17
                                         Set D: Problems 2, 3
                                         Set E: Problems 10, 13
                                         Set F: Problems 1, 5, 7, 8

Homework Assignments:
 
Sect 1.1 in B&DiP  1,3,7,11,15
Sect. 1.2 in B&DiP 1(a),1(c),2(b),5,6
Sect. 1.3 in B&DiP 1,2,5,7,8,15,19
Sect. 2.1 in B&DIP 1,3,5,14,15,16,22,25,28
Sect. 2.2 in B&DiP  1,3,5,6,9,10,15,20
Sect. 2.3 in B&DiP 1,2,3,4,6,9,18
Sect. 2.4 in B&DiP 1,2,7,10,15,17
Sect. 2.5 in B&DiP 1,2,3,9,10,11
Sect. 2.6 in B&DiP 1-8,13,14,15,18
Misc. Probs. p. 131 in B&DiP 1,4,7,8,9,14,17,20,22,24,25
Sect. 2.7 in B&DiP  1,4
Sect 3.1 in B&DiP 1,2,5,7,9,10,17,22,23
Sect 3.2 in B&DiP 1,3,7,8,13,23,24,26
Sect 3.3 in B&DiP 1,4,9,12,15,18
Sect. 3.4 in B&DiP 7,8,9,10,15,16,17,18,23
Sect. 3.5 in B&diP 1,2,5,11,12,23,28
Sect. 3.6 in B&DiP 1,3,4,5,6,8,11,15,16,17,19 (part a),20 (part a)
Sect. 3.7 in B&DiP 5,6,10,14,19
Sect. 3.8 in B&DiP 5,6,7,10,19
Sect. 3.9in B&DiP 5,7,10
Sect. 6.1 in B&DiP 5(a),5(b) by hand and with MATLAB
Sect. 6.2 in B&DiP 1,2 by hand, using Table 6.2.1, and with MATLAB;11,21 by hand and with MATLAB
Sect. 6.4 in B&DiP 1,3,5 by hand, using Table 6.2.1, and with MATLAB
Sect. 6.5 in B&DiP 1,4 by hand, using Table 6.2.1, and with MATLAB
Sect. 7.1 in B&DiP  1,5,15,16
Sect. 7.4 in B&DiP  4
Sect. 7.5 in B&DiP  1,2,5,6,16
Sect. 7.6 in B&DiP 1,3,6,9
Sect. 7.8 in B&DiP 1,3,4,7
Sect. 9.1 in B&DiP:  1,2,4,5,6
Sect. 9.2 in B&DiP: 1,2,3
Sect. 9.3 in B&DiP: 1,2,3,4,5 (part a-c),7 (parts a-c)

Hand-in pencil-and-paper Homework: The assigned homework will be handed in by assignment: Assignment 1, Assignment 2, etc. Then a selection of the problems will be graded. To help the grader identify the problems, please use a marker to highlight the section and problem numbers.

Assignment 1: Sections 1.2--1.3, due date: 2/2
Graded Assignment 1 problems:
Sect. 1.1: 3, 7, 11
Sect. 1.2: 1(c), 2(b) ,5
Sect. 1.3: 2, 8, 15, 19
Assignment 2: Sections 2.1--2.5, due date: 2/21
Graded Assignment 2 problems:
Sect. 2.1:  3, 25
Sect. 2.2:5, 15
Sect. 2.3: 3, 18
Sect. 2.4:2, 10
Sect. 2.5:3, 10
Assignment 3: Section 2.6, p. 131, Section 2.7, hand-out problems, due date: 3/2
Graded Assignment 3 problems:
Sect. 2.6:  3, 5
p.131:4, 8, 24
Sect. 2.7:1, 4, problem on hand-out
Assignment 4: Sections 3.1--Sections 3.5, due date: 3/30
Graded assignment 4 problems:
Sect. 3.1:1,10
Sect. 3.2:3,13
Sect. 3.3: 4,15
Sect. 3.4:7,17
Sect. 3.5:5,23
Assignment 5: Sections 3.6--3.9: due date: 4/13
Graded assignment 5 problems:
Sect. 3.6:1, 15, 16
Sect. 3.7:5, 6, 10
Sect. 3.8: 5, 7
Sect. 3.9:5, 10
Assignment 6: Sections 6.1--6.5: due date: 4/27
Graded assignment 6 problems:
Sect. 6.1: 5(a), 5(b)
Sect. 6.2:1, 2, 11, 21
Sect. 6.4: 3, 5
Sect. 6.5: 1, 4
Assignment 7: Sections 7.1, 7.4--7.6, 7.8: due date: 5/4
Graded assignment 7 problems:
Sect. 7.1: 1, 5
Sect. 7.4: 4
Sect. 7.5: 1, 5, 15
Sect. 7.6: 1, 9
Sect. 7.8: 1, 4
Assignment 8: Sections 9.1--9.3: due date: 5/9
Graded assignment 8 problems:
Sect. 9.1: 1
Sect. 9.2: 2
Sect. 9.3: 3
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MATLAB Tutoring (for MATH 240, 241, 246, 461):

Tutor: Chensong Zhang, Office: MTH 4307
Tutoring Hours: M 2:00-3:00, T 2:30-3:30, W 12:00-1:00

Click here for MATH Department tutoring, indluding MATH 246 tutoring schedule.

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