Go here for the Mathematica computer labs.
Fall 2018
SySynonym: 62618, Section: 002, Northridge 2245
Monday / Wednesday 7:35 pm  9:20 pm
Course Content: 
Course Description: MATH 2420 DIFFERENTIAL EQUATIONS (440). A course in the standard types and solutions of linear and nonlinear ordinary differential equations, include Laplace transform techniques. Series methods (power and/or Fourier) will be applied to appropriate differential equations. Systems of linear differential equations will be studied. Skills: S Course Type: T Instructional Methodology: This course is taught in the classroom primarily as a lecture/discussion course. The class will also have a computer lab component. Course Rationale: This is a traditional introductory course in the standard types and solutions of linear and nonlinear ordinary differential equations and systems of linear differential equations usually taken by mathematics, engineering and computer science students. 

Prerequisites: 
Please make sure you have the necessary prerequisites for this course. That means you need a C or better in Calculus II (or an equivalent course) or an acceptable grade on placement tests. If I feel you are not prepared for this course, I may choose to withdraw you. If you have any questions about your preparation for the course, please come and talk to me about it. 

Course Materials: 
Text: Differential Equations and Boundary Value Problems: Computing and Modeling, 5th edition, Edwards & Penney & Calvis,Pearson (ISBN # 9780321796981) Technology: The use of calculators or computers in order to perform routine computations is encouraged in order to give students more time on abstract concepts. Mathematica software is available for student use. You will be required to use Mathematica software for the course; you may choose to purchase this (there is a “student edition” and various timelimited versions available at a reduced price), but you are not required to do so. This software is available in the classrooms and in the Learning Labs. 

Homework: 
You should bring your homework to class every day. It will be collected regularly. There may also be inclass assignments or quizzes collected for a grade. There will be a penalty on late homework. Homework that is more than a week late might not receive any credit. If you do not follow the instructions that will be announced in class about how to organize and submit your homework, you may not receive full (or any) credit for it. 

Attendance: 
Attendance is required in this course. It is extremely important for you to attend class regularly. I MAY drop you from the course for excessive absences, although I make no commitment to do so. 

Grading: 
There will be 3 exams plus a final exam (part of which will be comprehensive). In addition, you will be assigned several computer labs which will count for a substantial grade. Grades will be weighted as follows: 

Tests 1, 2, 3 
20% 
each 

Computer labs and assignments, quizzes 
10% 

Final Exam 
25% 

Homework 
5% 

Sometime after Test 3, there will be a single makeup exam over the material on tests 13; the grade on this exam can be used to replace your lowest grade on the first three tests, up to a maximum grade of 90 if you make complete corrections for tests 13 or 75 without the completed corrections. 

A : 
90% or better and a grade of at least 80% on the final 
D : 
60%  69% 

B : 
80%  89% and a grade of at least 70% on the final 
F : 
below 60% 

C : 
70%  79% and a grade of at least 60% on the final 

W : 
Withdrawn by student or instructor prior to last withdrawal date on school calendar 

I : 
Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all tests, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester. 

Withdrawal: 
It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) but makes no commitment to do this for the student. After the last day to withdraw, neither the student nor the instructor may initiate a withdrawal. It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class. The instructor does, however, reserve the right to drop a student should he or she feel it is necessary. The student is also strongly encouraged to retain a copy of the withdrawal form for their records. 

Classroom behavior: 
Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook on the web at: http://www.austincc.edu/handbook 

Class participation: 
All students are expected to actively participate in this class. This can include asking relevant questions in class, participating in class discussions and other inclass activities, helping other students, coming to office hours with questions, and doing other things that contribute to the class. 

Keeping up: 
Please, try to keep up with the homework and with the lecture in class. There just isn't much time to catch up. This means you have to be sure to allow yourself plenty of time to do the homework and to study. 

Ask questions: 
Please, please, please, if you don't understand something, or you aren't clear about something, or if you think I (or the book) have made a mistake (it has been known to happen), or if you have any other questions, please ask. Don't let confusion accumulate. If you don't want to ask in class, come to our office hours (or call) and ask. It is much easier to ask a question now than to miss it on the test. I expect all students to participate in class discussions and other activities. Trust me, you will get much more out of the class if you become actively involved in it. 

Always show your work: 
It is much more important that you understand the processes involved in solving problems than that you just give me the right answer. If I see from your work that you understand what you are doing, I will usually give partial credit for a problem, even if you made a mistake somewhere along the line. If you don't show your work (unless I believe you could reasonably do it in your head), I may not give you full credit, even if the answer is right. If you can really do something in your head, that's great, but when in doubt, write it down. It is also very important that you write what you mean. I will correct your notation the first few times, but I will start counting it wrong if you continue to write things incorrectly. In addition, please write clearly and legibly. If I can't read it, I won't grade it. 

Time required and outside help: 
To do homework and study requires two or three times as much time outside of class as the time you spend in class in order to succeed in this course. If you need more outofclass help than you can obtain in your instructor's office hours, free tutoring is available in any of ACC's Learning Labs. 
Differential Equations, MATH 2420, Learning Outcomes
STUDENT LEARNING OUTCOMES  A student who has taken this course should be able to:
The objectives of Differential Equations are for the students to understand the following topics and to be able to apply these concepts to solve application problems.
Differential Equations covers the following topics.
ACC College Policies
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Students who have received approval for accommodations from SAS for this course must provide the instructor with the ‘Notice of Approved Accommodations’ from SAS before accommodations will be provided. Arrangements for academic accommodations can only be made after the instructor receives the ‘Notice of Approved Accommodations’ from the student.
Students with approved accommodations are encouraged to submit the ‘Notice of Approved Accommodations’ to the instructor at the beginning of the semester because a reasonable amount of time may be needed to prepare and arrange for the accommodations. Additional information about Student Accessibility Services is available at HYPERLINK "http://www.austincc.edu/support/osd/" http://www.austincc.edu/support/osd/
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Please note, you are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be dismissed from the day’s activity, may be withdrawn from the class, and/or barred from attending future activities.
You are expected to conduct yourself professionally with respect and courtesy to all. Anyone who thoughtlessly or intentionally jeopardizes the health or safety of another individual will be immediately dismissed from the day’s activity, may be withdrawn from the class, and/or barred from attending future activities.
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· ACC Photo ID
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· Course Number (e.g.,1301)
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Course Outline and Approximate Calendar:
Please note: schedule changes may occur during the semester.
Any changes will be announced in class.
Week 
Dates 
Sections 
Topics 
1 
8/27/18 
1.1  1.2 
Mathematical models, integrals as solutions 
8/29/18 
1.3  1.4 
Slope fields, and separation of variables 

2 
9/3/18 
Holiday  no class 

9/5/18 
1.5  1.6 
Linear first order equations and substitution methods 

3 
9/10/18 
1.6, 2.1 
More substitution methods, exact equations, and population models 
9/12/18 
2.2  2.3 
Equilibrium solutions and acceleration/velocity models 

4 
9/17/18 
2.4  2.5 
Numerical approximation methods 
9/19/18 
2.6 
More numerical methods and review for Test 1 

Test 1 – Dates to be announced in class 

5 
9/24/18 
5.1 
Intro to systems of equations, review of matrices, 
9/26/18 
5.2 
The eigenvalue solution method 

6 
10/1/18 
5.2 
More on eigenvalue solutions 
10/3/18 
5.3 
Phase portraits 

7 
10/8/18 
5.5 
Repeated eigenvalues 
10/10/18 
5.7 
Nonhomogeneous systems 

8 
10/15/18 
6.16.2 
Nonlinear systems 
10/17/18 
6.3 
Ecological models and review for Test 2 

Test 2 – Dates to be announced in class 

9 
10/22/18 
3.13.3 
Higher order linear equations, solving homogeneous equations with constant coefficients 
10/24/18 
3.5 
Nonhomogeneous equations with undetermined coefficients 

10 
10/29/18 
3.4, 3.7 
Mechanical applications and electrical circuits 
10/31/18 
3.7, 3.8 
More electrical circuits, reduction of order and basic boundary value problems with eigenvalues 

11 
11/5/18 
7.1 – 7.2 
Laplace transforms and initial value problems 
11/7/18 
7.3  7.4 
Translations, derivatives, integrals, and products of transforms 

12 
11/12/18 
7.5 
Periodic and piecewise continuous functions and transforms 
11/14/18 
7.6 
Impulse and delta functions and review for Test 3 

Test 3 – Dates to be announced in class 

13 
11/19/18 
8.1  8.2 
Series and series solutions near ordinary points 
11/21/18 
8.3 
CauchyEuler equations and series solutions near regular singular points 

14 
11/26/18 
9.1 – 9.2 
Fourier series and convergence 
11/28/18 
9.3 
Even and odd extensions and Fourier Sine and Cosine series 

15 
12/3/18 
9.4 
Applications of Fourier series 
12/5/18 
9.5 
Separation of variables and the heat equations 

16 
12/10/18 
Final Exam, Part 1 

12/12/18 
Final Exam, Part 2 