SYLLABUS ∙ Fall 2016 ∙ Tulsa Community College Southeast Campus Course: MTH 2613-301
ELEMENTARY DIFFERENTIAL EQUATIONS
Tuesday & Thursday, 12:30 pm to 1:50 pm
Tuesday, August 23 through Thursday,
SEC 8258 Section No: 301
Call No: 12838 Instructor:
Sasha Townsend
Office:
SE 8245
Phone:
(918) 595-7690
Email: [email protected]
Visit Blackboard for immediate access to your current
grades and other course information.
FALL 2016 OFFICE HOURS: • Monday & Wednesday: 12:30 pm to 1:50 pm in the math lab (SEC 8150)
• Monday & Wednesday: 4 pm to 5 pm in my office (SEC 8245)
• Tuesday & Thursday: 12 pm to 12:20 pm in my office (SEC 8245)
• Tuesday & Thursday: 2 pm to 4 pm in the math lab (SEC 8150) TO CONTACT THE CAMPUS SCHOOL OFFICE
School: School of Science and Math
Campus: Southeast
Office: SEC 8125
Phone Number: (918) 595-7742
PREREQUISITES FOR THIS COURSE A “C” or better in Analytic Geometry and Calculus II is required. This
course requires a working knowledge of single variable calculus
including differentiation techniques, integration techniques, including
substitution, integration by parts, and partial fraction decomposition, and
improper integrals. Students will also need some background in matrix
theory (linear algebra), including how to solve a system of equations
using Gaussian elimination and how to find the inverse of a 2 x 2 matrix
and a 3 x 3 matrix. We will review these linear algebra concepts in class.
Links to online resources will be provided as well. Students must be
proficient in multiplying, dividing, and factoring polynomials.
TO CONTACT ACADEMIC & CAMPUS SERVICES
Office: SEC 2202
Phone Number: (918) 595-7673
Campus Security: (918) 595-8888
COURSE DESCRIPTION Solutions and applications of first order ordinary differential equations
by symbolic and numerical methods. Solutions and applications of
second order linear equations. Series solutions, Laplace transforms, and
higher order equations with constant coefficients and an introduction to
systems of differential equations. Lecture 3 hours. No Laboratory.
SEC SCIENCE & MATH LEARNING LAB The science and math learning lab at the SEC is located in SE 8150 and is available to all TCC students. The lab is open 8 am to 9 pm,
Monday through Thursday, 8 am to 4 pm on Friday, and 9 am to 12 pm on Saturday morning, to help you with your math and science
needs. They have many computers available for student use, as well as calculators for check out on campus. They have math tutors
available any time they are open and science tutors available during limited hours. It is a great place to study individually or in groups.
I recommend that you complete your homework on one of the student computers in the math lab. If you get stuck on a problem, the
tutors are right there for you to ask them your question. Please take advantage of the free tutoring services and study space!
GENERAL EDUCATION GOAL STATEMENT The General Education Goals are designed to ensure that graduates of Tulsa Community College have the skills, knowledge, and
attitudes to carry them successfully through their work and their personal lives. General Education Goals relevant to this course
include Critical Thinking, Effective Communication, Engaged Learning, and Technical Proficiency.
COURSE OBJECTIVES Upon successful completion of this course, students will be able to
1. Solve separable differential equations and initial value problems.
2. Solve first order linear differential equations and initial value problems.
3. Solve a nonhomogeneous linear ordinary differential equation with constant coefficients using the method of undetermined
coefficients.
4. Solve a nonhomogeneous linear ordinary differential equation with constant coefficients using variation of parameters.
5. Solve a homogeneous linear system using the eigenvector - eigenvalue method.
6. Solve an initial value problem, consisting of an on homogeneous linear ordinary differential equation with constant
coefficients and initial conditions, using the Laplace transformation and a table of Laplace transforms.
7. Find a series solution about an ordinary point to a homogeneous linear ordinary differential equation with variable
coefficients.
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Updated: August 22, 2015 -­1 of 5-­ Elementary Differential Equations -­ 301 TEXTBOOK & SOFTWARE Required textbook:
Differential Equations: A Primer for Scientists and Engineers
Constanda, Christian. Springer.
Supplemental textbook:
A First Course in Differential Equations. 10th edition.
Zill, D. G., Brooks / Cole.
TEACHING METHODS The class will be taught via lecture and cooperative learning activities. Students will solidify their conceptual understanding and
procedural fluency by completing the homework.
REQUIREMENTS The formal course requirements listed below – homework and exams – are designed to assist you in learning differential equations.
However, you must work every day in order for these activities to make a difference. You are expected to spend time outside of class
each day studying your notes and working problems. Be sure to ask questions in class or during office hours immediately if you have
difficulties.
Homework & Reading:
There are reading and problem assignments. I encourage you to do the homework because these methods and ideas can only be
internalized through practice. After completing several problems using a given method, the method itself will come more easily to
you. Read the examples in the textbook; they provide excellent examples of variations on the themes and concepts studied in class.
You are encouraged to work with your classmates and to discuss the material, but please do not do yourself the disservice of copying
another’s work. While you are welcome to use your calculator or a computer algebra system to check your work, do not use it as a
replacement for recalling differentiation and integration techniques.
Homework problems have been selected for you in each section. The starred problems must be completed in order for you to earn full
credit on the homework. Additional problems have been selected as recommended additional practice. Please study the examples
worked in class and apply concepts to the assigned homework problems in order to reinforce material covered at home.
Homework is your opportunity to discover the material for yourself. Credit is awarded for presentation and completion of the
homework. Homework is an opportunity to learn, to be exposed to different variations of a problem, and to stretch yourself
and learn through being challenged. Do the homework, not just for the credit, but for yourself. The students who earn the highest
grades in this class are those that complete the homework assignments immediately after the material has been covered in class. I
encourage you to use the answers to assess the accuracy of your method. Homework will be accepted late, with no penalty, until the
date of the corresponding exam.
Class Participation, Assignments
In addition to attending class, you are expected to participate in class discussions and group activities. Extra credit points may be
earned through team competitions in class.
Exams & Series Solution Quiz
There will be three exams, a comprehensive final exam, and a quiz covering series solutions about an ordinary point. The best way to
prepare for exams is to study the concepts and work problems. Do not just “look over” problems. Actually do them. If you do your
homework, study and rework your problems from class, and study the handouts provided for you, you will be prepared for exams.
Presentation:
Please follow the directions provided on homework and series solution assignment. In addition to the instructions provided, you are
expected to create a professional looking document. Papers that have been ripped out of a spiral notebook do not look professional and
will not be accepted. Your paper should be neat and easy to read, with logical justification for your solutions. Write your solutions as
if you are explaining them to a fellow student who has missed class. Solve problems from first principles (as we have solved them in
class) to demonstrate that you know how we arrive at the solutions. Your understanding of a given solution method is more important
than “getting the right answer” in this course. You will be graded on your ability to communicate your solutions with others.
GRADING Throughout the course, the students will take three exams, and a comprehensive final, valued at 100 points each. The homework
will comprise 100 points of the student’s final grade. You will also have a quiz covering infinite series solutions, valued at 50
points. Your grade will be determined by the sum of your three exam scores, your final exam grade, your series solution quiz grade,
and your homework score, for a total of 550 points available in the course. Your grade on the comprehensive final exam will replace
the lowest of the first three exam scores, if your final exam score is higher than one of the previous exam scores.
______________________________________________________________________________________________________________________________________________________________________________________________________
Updated: August 22, 2015 -­2 of 5-­ Elementary Differential Equations -­ 301 The grades assigned use the typical 90 / 80 / 70 / 60 scale. The instructor reserves the right to lower the lower bounds as appropriate.
(For example, a student who earns a 90% is guaranteed to receive an A. At the end of the semester, it is possible that borderline
students with grades of 88 or 89 for example may be awarded an A as well.)
Cheating is unacceptable. All work must be clearly distinct from every other students’ work. You are encouraged to work together to
solve problems. However, each student must produce a final product which is uniquely his (her) own.
MAKE-­UP AND LATE ASSIGNMENT/EXAM POLICY There will be no make-up exams except through a documented college-approved absence.
Homework will be accepted late, with no penalty, until the date of the corresponding exam.
You are encouraged to complete the homework as soon as possible so that you don’t get behind.
COMMUNICATIONS: Email: All TCC students receive a designated TCC Outlook address (ex: [email protected]). All communications to you
about TCC and course assignments will be sent to your TCC Outlook email address; and you must use TCC Outlook email to
send email to, and receive email regarding this course.
Inclement Weather: TCC rarely closes. If extreme weather conditions or emergency situations arise, TCC always gives
cancellation notices to radio and television stations. This information is also posted on the TCC website (www.tulsacc.edu). You
can also sign up for the TCCAlerts (http://www.tulsacc.edu/student-services/campus-police/tcc-alerts) to receive texts, emails,
and/or a phone call in the event of campus closing. If TCC is open, I will make every effort to hold class, although assignment
deadlines may be changed. Graded assignments planned for that day may be postponed until the following class meeting. Please
check your TCC email and our course’s blackboard website for announcements.
CLASSROOM ETIQUETTE Open and mutually respectful communication of varied opinions, beliefs, and perspectives during classroom discussion encourages the
free exchange of ideas that is essential to higher learning and to the ability to learn from each other.
Please turn off your cell phones while in class. If you must be available to take a call during class, please put your phone on the
‘vibrate’ mode and leave class quietly.
INSTITUTIONAL STATEMENT Each student is responsible for being aware of the information contained in the TCC Catalog, the TCC Student Policies & Resources
Handbook, and semester information listed in the class schedule. All information may be viewed on the TCC website:
www.tulsacc.edu.
TRANSFERABILITY: Please visit with the TCC Counseling Center or the Counseling Center at the college or university to which you plan to transfer to
determine transferability status of this course.
COURSE WITHDRAWAL: The deadline to withdraw from a course shall not exceed 3/4 the duration of any class. Contact the Counseling Office at any TCC
campus to initiate withdrawal from a course (“W” grade) or to change from Credit to Audit. Students who stop participating in the
course and fail to withdraw will receive a course grade of “F,” which may have financial aid consequences for the student. The
deadline to withdraw is Friday, November 11.
Students who are earning a failing grade should consider withdrawing from the course by the official drop date. Failure to
withdraw will result in the student receiving a regular grade of “F” at the end of the semester.
DISABILITY RESOURCES It is the policy and practice of Tulsa Community College to create inclusive learning environments. Accommodations for qualifying
students in compliance with the Americans with Disabilities Act (ADA) and Section 504 of the Rehabilitation Act are available. To
request accommodations, contact the Education Access Center (EAC) at [email protected] or call (918) 595-7115 (Voice). Deaf and
hard of hearing students may text (918) 809-1864.
ACADEMIC INTEGRITY – PLAGIARISM – DISCIPLINARY ACTION Academic dishonesty (cheating) is defined as the deception of others about one’s own work or about the work of another. Academic
dishonesty or misconduct is not condoned or tolerated at campuses within the Tulsa Community College system.
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Updated: August 22, 2015 -­3 of 5-­ Elementary Differential Equations -­ 301 Tulsa Community College adopts a policy delegating certain forms of authority for disciplinary action to the faculty. Such disciplinary
actions delegated to the faculty include, but are not limited to, the dismissal of disrespectful or disorderly students from classes.
In the case of academic dishonesty, a faculty member may:
§ § § § § Require the student to redo an assignment or test, or require the student to complete a substitute assignment or test;
Record a "zero" for the assignment or test in question;
Record a grade of "F" for the student at the end of the semester. Faculty may request that disciplinary action be taken
against a student at the administrative level by submitting such a request to the Dean of Student Services.
Course Drop or Withdrawal: A student who has been found responsible for academic dishonesty in a course may not
drop or withdraw from the course. If the student processes a drop or withdrawal from the course, the action will be
reversed and the appropriate grade will be recorded on the student's transcript.
The Dean of Students maintains a list of students who violate academic integrity.
TOBACCO FREE COLLEGE: Tulsa Community College is a Tobacco Free college in accordance with the Governor’s Executive Order 2012-01 and Title 63 of the
Oklahoma Statutes, Section 1-1523 which prohibits smoking or the use of any tobacco products in all public places, in any indoor
workplace, and all vehicles owned by the state of Oklahoma and all of its agencies and instrumentalities. This Order includes property
leased, rented, or owned by TCC including, by not limited to, all grounds, buildings, facilities, and parking lots. Tulsa Community
College’s policy includes a tobacco free environment on all campus and off-campus locations conducting TCC credit or non-credit
classes. The TCC Campus Police is responsible for ensuring compliance with the Tobacco-Free Environment Policy. Violations of the
policy may be addressed through issuance of campus or state citations. SYLLABUS CHANGES: Occasionally, changes to the syllabus may be necessary. Students will be notified of any changes to the syllabus in writing. ______________________________________________________________________________________________________________________________________________________________________________________________________
Updated: August 22, 2015 -­4 of 5-­ Elementary Differential Equations -­ 301 TENTATIVE COURSE CALENDAR: Changes to the schedule are often necessary. Updated calendars will be posted in updated syllabi on blackboard, and changes will be
emailed to you.
Week Of
Tuesday
Thursday
August 22
Differential Equations, IVPs & BVPs
No class today
August 29
Separable DEs
First Order Linear ODEs
Sept. 5
Homogeneous Polar DEs, Bernoulli DEs
Exact DEs,
Existence & Uniqueness Theorems
Sept. 12
Direction Fields,
Qualitative Solutions to Autonomous DEs
Applications of First Order ODEs
Sept. 19
Exam 1 Review
Exam 1: First Order DEs
Sept. 26
Preliminary Theory – Higher Order ODEs
Homogeneous Linear Higher Order ODEs
With Constant Coefficients
October 3
Method of Undetermined Coefficients
Variation of Parameters, Cauchy Euler DEs
October 10
Nonlinear ODEs
Exam 2 Review
October 17
Series Solutions About an Ordinary Point
Exam 2: Higher Order ODEs
October 24
Series Solutions about an Ordinary Point
The Laplace Transformation, Inverse Transformations
October 31
Solving IVPs with
the Laplace Transformation
Series Solution Quiz Due
Shifting Theorems, Unit Step Function
November 7
Professional Development Day
- No class today
Derivative of a Transform, Convolution
November 14
Solving Integral Equations &
Integrodifferential Equations with the
Laplace Transformation, Dirac Delta
Preliminary Theory for Solving Systems of First Order
ODEs
November 21
Homogeneous Linear Systems
Thanksgiving Break
November 28
Homogeneous Linear Systems
Exam 3 Review
December 5
Exam 3: The Laplace Transformation &
Homogeneous Systems
Review
December 12
Comprehensive Final Exam – Date and Time TBD
Check the TCC website for the Spring 2016 Final Exam Schedule.
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Updated: August 22, 2015 -­5 of 5-­ Elementary Differential Equations -­ 301