Differential Equations - Math 3113
Sections 004 and 007

Instructor

Garrett Alston
galston...math.ou.edu
Office: 528
Office Hours: M 1:30-2:20, F 11:30-12:20

Time and place:

Section 004
MWF 2:30-3:20, Physical Sciences 0321

Section 007
MWF 12:30-1:20, Physical Siences 0222

Text

Differential Equations and Boundary Value Problems: Computing and Modeling, Fifth Edition, Edwards, Penney and Calvis

Overview

We will cover some standard topics in ordinary differential equations such as linear equations and systems, geometry of equations and solutions, exact solution methods, Laplace transform, numerical solution methods, and applications.
We will try to do as many applications as possible to science. A big source of examples throughout the class will be Newton's law F=ma.
We will spend some time using computers to numerically solve equations and gain insight into the theory. We will use MatLab or similar programs for the computer work. MatLab is installed on many university computers and is available for free to students through OU IT Store. SciLab and Octave are two open-source alternatives to MatLab and can be found at www.scilab.org and www.gnu.org/software./octave. Octave is my favorite program out of the three.
There will be two types of homework: Webwork and computer assignments. Webwork is an online homework system, and Webwork problem sets will generally be due every Wednesday at 10 pm. There will be a computer assignment due about once every three weeks. For the computer assignments, you need to hand in a printout of your code and the output of the commands in the assignment.
There will be a short 10 minute quiz every Friday in class. It will cover the material of the homework due that week.

Grades

10% Webwork
10% Computer assignments
10% Quizzes (lowest 2 quiz scores will be dropped)
20% Exam 1
20% Exam 2
30% Final Exam

Grading Policy

Each quiz and exam problem will be graded out of 3 points (except for multiple choice, true/false, fill in the blank). Here are the guidelines I will use to determine how many points you get on a problem:

3 points: complete, correct solution, a few small arithmetic errors or other minor errors are okay (A level work)
2 points: substantial progress towards a solution but still missing a key idea or step; or a mostly correct solution but with some more serious algebra/arithmetic errors that change the solution slightly (B,C level work)
1 points: a first step or steps toward a correct solution such as a correct formula or expression of a correct plan; an algebra mistake or other mistake that changes the solution significantly may result in this score (D level work)
0 points: no progress towards a correct solution (F level work)

You should write your solutions in a neat, step-by-step, orderly way. Basically, they should be clear enough that another student reading your solution would be able to follow each step and understand how the solution works. You don't need to write words (although sometimes a word or two can be helpful), but instead focus on using mathematical language and symbols to correctly express how your solution goes. Random non-applicable or incorrect formulas and calculations will also be penalized and may result in moving down the grade scale.

Your final letter grade will be based on a curve (to be determined).

Calculator Policy

Calculators are allowed on homework, exams and quizzes. It is recommended that you bring a scientific or graphing calculator for exams and quizzes. No cell phones allowed on quizzes and exams.

Exam Dates

Exam 1: Friday September 30
Exam 2: Friday November 11
Final Exam:
Section 004 Tuesday Dec 13, 4:30-6:30
Section 007 Monday Dec 12, 1:30-3:30

Missed work policy

No late homework will be accepted. No makeup exams or quizzes, except in the case of excused absence (illness with doctor's note, etc.).

Academic misconduct statement

All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University’s Academic Misconduct Code. The penalties can be quite severe. Don’t do it! For more details on the University’s policies concerning academic misconduct consult http://www.ou.edu/integrity/.

Students are also bound by the provisions of the OU Student Code, which can be found at http://judicial.ou.edu/.

Students with disabilities

The University of Oklahoma is committed to providing reasonable accommodation for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with the instructor as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone 405–325–3852 or TDD (only) 405–325–4173.

The Key to Success in Math Classes

The only way to learn math is to do problems. It is okay to work with others, but if you do, make sure that you know how to do the problems on your own. This may mean redoing the problems on your own to make sure you understand. If you have good homework scores but bad quiz and exam scores then you are probably not doing homework in the best way. Please come talk to me so we can come up with a plan to correct things.

Webwork

Due on Wednesdays at 10 pm. The website for Webwork is https://webwork.math.ou.edu/webwork2/alston_math3113_004_007_fall2016/. To login, your username is your OU 4x4, and so is your password (this means username=password). Change your password after logging in for the first time.

Computer Assignments

#	Due Date	Assignment	Solutions
1	Sep 9	Computer Project 1	slopefield.m, graphslopefield.m, slopefield.pdf
2	Oct 3	Computer Project 2 9/21 Correction: Last line of for loop in problems 1 and 3 changed to x=xvals(i+1);	solutions
3	Nov 4	Computer Project 3	solutions
3	Dec 7	Computer Project 4	solutions (read Instructions.txt first)

Daily Syllabus

08/22: Section 1.1: examples of differential equations, general solutions, initial value problems, checking solutions
08/24: Section 1.1 continued
08/26: Section 1.2: solutions to equations of the form y'=f(x)

08/29: Section 1.3: slope fields, graphical analysis of solutions, time-independent equations dx/dt=f(x), equilibrium solutions
08/31: Section 1.3 continued: uniqueness and existence of solutions, Section 1.4: separable equations, y'=f(x)g(y), Webwork 1 due at 10 pm
09/02: Newton's law of cooling and heating, a simple air resistance model, Quiz 1, solutions

09/05: No class
09/07: Section 1.5: First order linear equations, integrating factor technique
09/09: Section 1.5 continued: mixture problems, Section 1.6: exact ODEs Webwork 2 due at 10 pm, Computer Project 1 due in class, Quiz 2, solutions

09/12: Section 1.6: exact differential equations
09/14: Section 1.6: substitution methods, Webwork 3 due at 10 pm
09/16: Section 2.4: Euler's method, Quiz 3, solutions

09/19: Section 2.5: Improved Euler's method
09/21: Section 2.1: Logistic Equation, Webwork 4 due at 10 pm
09/23: Section 2.2: Phase diagrams, stability, bifurcation, Quiz 4, 007 solutions, 004 solutions

09/26: Parts of Section 1.6 and 2.3: Universal gravitation, potential energy
09/28: Review, Webwork 5 due at 10 pm
09/30: Midterm 1 - covers Chapters 1 and 2, Solutions 004, Solutions 007

10/03: Section 3.1: Introduction to Second-order linear equations
10/05: Sections 3.1-3.3: Homogeneous second order linear equations with constant coefficients Written homework due in class: Section 2.2: 21, 23, 24, Section 2.3: 27, no webwork, homework solutions
10/07: No class

10/10: Higher order equations with constant coefficients
10/12: Wronskians, linear independence, existence uniqueness Webwork 7 due at 10 pm
10/14: Section 3.4: Mechanical vibrations Quiz 5 (covers Webwork 7), 004 solutions, 007 solutions

10/17: Mechanical vibrations continued
10/19: Mechanical vibrations continued, correction on units involving pounds
10/21: Section 2.6: Runge-Kutta method, Webwork 8 due at 10 pm, quiz 6 solutions

10/24: Runge-Kutta method continued, class demonstration, Quiz 6 due in class, solutions
10/26: Section 3.5: Nonhomogeneous equations Webwork 9 due at 10 pm
10/28: Nonhomogeneous equations continued, Quiz 7, solutions

10/31: Nonhomogeneous equations continued
11/02: Section 4.1: First order systems, webwork postponed til Friday
11/04: Systems continuedQuiz 8, 007 solutions, 004 solutions, Webwork 10 due at 10pm

11/07: Section 4.2: Method of elimination
11/09: Elimination continued, no webwork
11/11: Midterm 2 - covers Sections 3.1-3.5, 004 solutions, 007 solutions

11/14: Section 4.3: Numerical methods, some example code, some simple vector commands
11/16: Numerical methods continued Webwork 11 due at 10 pm
11/18: Universal gravitation Quiz 9, solution

11/21: Section 5.1: Intro to Linear Systems

11/28: Section 5.2: Eigenvalue method for systems
11/30: Eigenvalue method continued, no webwork
12/2: Eigenvalue method continued, no quiz

12/5: Chapter 7: Laplace transform
12/7: Laplace transform, Computer Project 4 due in class
12/9: Laplace transform, Quiz 10, solution, Webwork 12 due at 10 pm

Chapters 1 and 2 Practice Problems for Final Exam
Chapter 3 Practice Problems for Final Exam
Chapter 4 and 5 Practice Problems for Final Exam (Correction: 10, 11, 12 left hand sides should be derivatives)

Additional Materials

Matlab tutorials

Differential Equations - Math 3113Sections 004 and 007