Go here for the Mathematica computer labs.
Summer 2018
Synonym: 55690, Section: 001, Northridge 2244
Monday / Wednesday 10:30 am 1:05 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. If you take any test late for any reason, there will be a penalty of 10 points off your test grade. However, no late tests will be allowed after I hand the graded tests back in class. If you miss a test, you must try to take it during this “late” period. If you do not take the test during that period, you will receive a 0 for that grade. In that case, you will need to take the makeup exam to replace that 0. Grades will be assigned as follows: 

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. Students who enroll for the third or subsequent time in a course taken since Fall, 2002, may be charged a higher tuition rate, for that course. State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college catalog. The withdrawal deadline for Summer 2018 is July 30, 2018. 

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. ACC main campuses have Learning Labs which offer free firstcome, firstserve tutoring in mathematics courses. The locations, contact information and hours of availability of the Learning Labs are posted at: http://www.austincc.edu/tutor 

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.
1. First order differential equations, slope fields, numerical solution methods and the basic analytical solution methods: separation of variables, solving exact equations, solving linear equations, and substitution methods.
2. Higher order linear differential equations, both homogeneous and nonhomogeneous with methods of reduction of order, undetermined coefficients, and variation of parameters.
3. Systems of linear differential equations, phase portraits, numerical solution methods and analytical solution methods: using eigenvalues and eigenvectors and using systematic elimination.
4. Use of the LaPlace transform and series methods for solving differential equations. Other topics will be explored as time permits
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on Scholastic Dishonesty  A student
attending ACC assumes responsibility for conduct compatible with the mission of
the college as an educational institution. Students have the responsibility to submit coursework that is the result
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dishonesty include, but are not limited to, plagiarism, cheating, fabrication,
collusion, and falsifying documents. Penalties for scholastic
dishonesty will depend upon the nature of the violation and may range from
lowering a grade on one assignment to an “F” in the course and/or expulsion
from the college. See the Student
Standards of Conduct and Disciplinary Process and other policies at http://www.austincc.edu/current/needtoknow
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Opportunity for students to examine and question pertinent data and assumptions
of a given discipline, guided by the evidence of scholarly research, is
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Students with disabilities who need classroom, academic or other accommodations
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request accommodations when they register for courses or at least three weeks
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be delayed.
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
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http://www.austincc.edu/support/osd/
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You are expected to learn and comply with ACC environmental, health and safety
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Alerts to be notified in the event of a serious emergency can be found at http://www.austincc.edu/emergency/.
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
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with the expectation that such communications will be read in a timely fashion.
ACC will send important information and will notify you of any college related
emergencies using this account. Students
should only expect to receive email communication from their instructor using
this account. Likewise, students
should use their ACCmail account when communicating with instructors and
staff. Instructions for activating
an ACCmail account can be found at http://www.austincc.edu/accmail/index.php.
Testing
Center Policy  Under certain
circumstances, an instructor may have students take an examination in a testing
center. Students using the Academic
Testing Center must govern themselves according to the Student Guide for Use of
ACC Testing Centers and should read the entire guide before going to take the
exam. To request an exam, one must
have:
· Course Abbreviation (e.g., ENGL)
· Course Number (e.g.,1301)
· Course Synonym (e.g.,
10123)
· Course Section (e.g.,
005)
· Instructor's Name
Do
NOT bring cell phones to the Testing Center. Having your cell phone in the testing
room, regardless of whether it is on or off, will revoke your testing
privileges for the remainder of the semester. ACC Testing Center policies can be found
at http://www.austincc.edu/testctr/
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And Instructional Services  ACC strives
to provide exemplary support to its students and offers a broad variety of
opportunities and services. Information on these services and support systems is available at: http://www.austincc.edu/s4/ Links to many student services and other information
can be found at: http://www.austincc.edu/current/ For help setting up your ACCeID, ACC Gmail, or ACC
Blackboard, see a Learning Lab Technician at any ACC Learning Lab.
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 
5/28/18 
Holiday  no class 


5/30/18 
1.1  1.4 
Mathematical models, integrals as solutions, slope fields, and separation of variables 
2 
6/4/18 
1.5  1.6 
Linear first order equations and substitution methods 

6/6/18 
1.6, 2.1 
More substitution methods, exact equations, and population models 
3 
6/11/18 
2.2  2.3 
Equilibrium solutions and acceleration/velocity models 

6/13/18 
2.4  2.6 
Numerical approximation methods 
Test 1 – Dates to be announced in class 

4 
6/18/18 
5.1  5.2 
Intro to systems of equations, review of matrices, the eigenvalue solution method 

6/20/18 
5.2  5.3 
More on eigenvalue solutions  complex eigenvalues, phase portraits 
5 
6/25/18 
5.3, 5.5 
More on phase portraits, repeated eigenvalues 

6/27/18 
5.7 
Nonhomogeneous systems 
6 
7/2/18 
6.16.3 
Nonlinear systems and ecological models 

7/4/18 
Holiday  no class 

Test 2 – Dates to be announced in class 

7 
7/9/18 
3.13.3 
Higher order linear equations, solving homogeneous equations with constant coefficients 

7/11/18 
3.5 
Nonhomogeneous equations with undetermined coefficients, the Exponential Input Theorem 
8 
7/16/18 
3.4, 3.7, 3.8 
Mechanical applications and electrical circuits, reduction of order and basic boundary value problems with eigenvalues 

7/18/18 
7.1 – 7.2 
Laplace transforms and initial value problems 
9 
7/23/18 
7.3  7.4 
Translations, derivatives, integrals, and products of transforms 

7/25/18 
7.5  7.6 
Periodic and piecewise continuous functions and transforms, impulse and delta functions 
Test 3 – Dates to be announced in class 

10 
7/30/18 
8.1  8.2 
Series and series solutions near ordinary points 

8/1/18 
9.1 – 9.2 
Fourier series and convergence 
11 
8/6/18 
9.3 
Even and odd extensions and Fourier Sine and Cosine series 

8/8/18 
9.5 
Separation of variables and the heat equations 
12 
8/13/18 
Final Exam 