Math 2652 – Differential Equations
Georgia Perimeter College – Clarkston Campus
Fall Semester 2015 Syllabus

Course Details

Advising and Tutoring Hours:

Please note that this syllabus provides a general outline for the semester; changes or adaptations may be required.

Please read and familiarize yourself with the policies contained in the syllabus. If you have any questions or concerns, then please ask me. A quiz in iCollege quiz will be based on the syllabus.

I encourage you to take advantage of office hours. Often there is not sufficient time in class to ensure that every student understands the material presented. Clearing up a small problem early will often avoid much confusion later on. Please do not hesitate to contact me for assistance. If office hours are not convenient for you, please email or call me. I am often able to answer questions over the phone and it is no inconvenience to me. I would like to help you pass this course, but I cannot help if you do not ask.

You may bring in your own laptops to class; however, when the classroom computers are blocked, then you may not use your laptop.

Collaboration

A significant time commitment on your part is necessary in order to be successful in this course. To maximize your efforts, you knowledge, and your understanding, I encourage you to form 'study groups'. These groups can help you understand the homework assignments and to prepare for tests. Keep in mind, you do not gain the conceptual understanding needed to pass the assessments for this course by copying someone else's work. Working together exposes you to new ideas. Thus, I encourage you to work with, learn from, and assist your classmates; however, keep the following in mind:

Meaningful and constructive discussion is encouraged in this class. This requires a degree of mutual respect, willingness to listen, and tolerance of all student questions. Since every student is entitled to full participation in class without interruption, everyone is expected to recognize the value of contributions to the class discussion from all students.

Prerequisite or Co-requisite

Math 2633 with C or better or placement.

Textbook

Nagle, R. K., Saff, E. B., & Snider, A. D. (2012). Fundamentals of Differential Equations (8th Ed). Boston, MA: Addison-Wesley. ISBN: 0-321-74773-9 (Required).

Other Materials

Course Description

This course is an introduction to the basic ideas of ordinary differential equations. Topics include linear differential equations, series solutions, simple non-linear equations, Laplace transforms, systems of differential equations, numerical methods, and applications.

Course Evaluation

At NO point in the semester will "extra credit" be offered. Please keep up with the required work so that you can earn the grade that you want. Tests, exam, quizzes, assignments and the final grade of the course will be calculated as follows:

Type Number Points Total Points Approximate Percentage
of Overall Grade
Tests
[The lowest test score will be dropped only if it results in a higher final grade.]
4 100 300 52.2%-55.6%
Quizzes
[Only the 20 best Quiz grades will be included in the final grade.
All other quiz grades will be dropped.]
at least 20 5 100 17.4%-18.5%
Projects 2-4 10 points each 20-40 total points 3.5%-3.7%
Mini Computer Projects (MCP) 6-10 2 points each 12-20 total points 2.1%-2.2%
Cumulative Final Exam 1 108-115 108-115 20%
TOTAL     540-575  

Grading Scale:

Grade Percentage
A 90% - 100% of total points
B 80% - 89% of total points
C 70% - 79% of total points
D 60% - 69% of total points
F below 60% of total points

 

Tentative Test Dates (NOTE: You will need to bring a new, blank Blue/Green Book to class on Test Day):

Final Exam Date (NOTE: You will need to bring a new, blank Blue Book to class on Final Exam Day):

Information on Performance Alert for Student Success (PASS):
Academic success is a top priority at GPC. Activities have been designed to alert both instructor and student in a timely manner if sufficient progress on certain core concepts is not being made. A performance alert for student success (PASS) will be sent to academically struggling students throughout the semester to inform students of their status in the course and to provide additional resources for assistance. The notification enables students to address any academic weakness that could affect their successful completion of the course. If a student receives a PASS, the student should meet with the instructor to discuss their performance in the course and to design an improvement plan. PASS messages will be sent via email and by SMS text messaging.

Assignments

You should read the appropriate section of your text prior to class. Computer projects are DUE at the beginning of class on the due date. Computer projects are to be submitted to the instructor by email in iCollege. NO late projects will be accepted.

Daily Schedule and Assignments

http://ode.jjw3.com/math2652/Fa15math2652Assigns.htm

Unscheduled GPC Closings

In the event that this course is not able to meet face-to-face due to an unscheduled closing of any GPC campus, students should log into iCollege for further directions regarding the course. During this time, students will be responsible for the material and assignments given by the instructor on iCollege.

Make-up Work

You are responsible for all work. If you are absent on any particular day, you will need to obtain any notes from a classmate.

Missed Test/Quiz Policy

Make-up tests will NOT be given for ANY reason. The first missed test will be your drop test. Any other missed test will be given a grade of zero. No make-up quizzes will be given for ANY reason. Any missed quiz will be given a grade of zero. All quizzes will be given at the beginning of every class period. The door to the classroom will be closed at the start of the quiz and will NOT be opened until the quizzes are completed. This is to ensure there are no disruptions or distractions to the students, who arrived to class on time, taking the quiz.

Behavior Policy

You are expected to demonstrate generally accepted classroom behavior. The Student Handbook gives a detailed description of acceptable behaviors. You are expected to know and follow these guidelines. In particular, you are expected to refrain from using any non-educational technology during class, including, but not limited to portable music players and cell phones. If you are using a laptop during class, you are expected to refrain from using non-educational websites including, but not limited to social networking websites.

Students are expected to treat one another collegially and respectfully – even while disagreeing on an issue. The members of this course form a community. You are each expected to refer to one another by name. If you don't know someone's name, ask. Consider this your opportunity to work on skills that will serve you for the rest of your professional life. Questions and comments are welcome – this is an active learning community. Please feel free to contribute your responses to the class discussion, connections you see between course material and what you may have learned or experienced elsewhere, and questions. You also contribute by listening to your colleagues. The class is a community of learners, so please give all students the opportunity to engage in the class discussion.

Attendance Policy

Student's academic success is the major priority of the College. Because regular participation enhances the learning process, students are expected to adhere to the attendance policy set forth by the College and individual faculty members. Differences in content and teaching styles exist among courses, which can impact students' learning. Therefore, students are strongly encouraged to attend all classes to better prepare them for assignments, tests, and other course-related activities. Students are accountable for assignments and material covered during an absence.
Attendance will be taken at each class meeting. The instructor will NOT withdraw you from this class, regardless of the circumstance. To receive a "W" for the course you must withdraw on or before the midterm date.

Withdrawal

Students are expected to withdraw themselves if they feel they cannot complete the course. Students should withdraw online using the Student Information System (SIS). Withdrawals must be completed before the above stated midpoint date to receive a grade of "W" from the class.

Expected Educational Outcomes

As a result of completing this course, the student will be able to:

  1. Analyze problems using critical thinking skills.
  2. Use functions and their derivatives to construct mathematical models.
  3. Solve application problems for which differential equations are mathematical.
  4. Solve the following kinds of first order, ordinary differential equations:
    1. separable,
    2. homogeneous,
    3. exact,
    4. linear, and
    5. Bernoulli.
  5. Solve second order linear ordinary differential equations:
    1. Homogeneous and non-homogeneous equations with constant coefficient
    2. Power series solutions about ordinary and regular singular
  6. Solve initial value problems using Laplace transforms.
  7. Solve systems of linear differential equations.
  8. Approximate a solution to a differential equation with a numerical method.
  9. Use some basic commands of a computer algebra system, and solve differential equations with them.
  10. Determine the stability of linear systems.
  11. Analyze almost linear systems.
  12. Use the Energy Method to describe nonlinear systems.
  13. Be able to identify the basic forms of bifurcation.

Additional Expected Educational Results:

As a result of completing this course, the student will be able to use technology to:

  1. Solve a simple differential equation with or without an initial condition.
  2. Plot a slope field.
  3. Approximate the solution to an initial value problem.
  4. Solve a linear system of differential equations.

Cheating Policy

All student work must be that of the student or student group submitting the work. Projects completed with partners or as small groups should be so noted with all names indicated on each page. No phones, PDAs, smartphones, smart watches, tablets, notecards, notes, texts, or other outside assistance during tests or quizzes. According to college policy, you may NOT share calculators during a test or quiz. The giving or receiving of help from notes or another person during exams or tests may result in a grade of zero for this work and/or a grade of "F" in the course, and/or referral to the campus disciplinary committee for penalty, which may include suspension from the College. See the Mathematics Department Academic Honesty policy below.

Academic Honesty Policy

As a community committed to learning, Georgia Perimeter College recognizes and specifies that students, whether working as individuals or in a group, shall always present to the instructor their own work for an honest grade assessment. Academic Honesty Procedures have been established by Georgia Perimeter College to insure due process in cases of cheating. A copy of procedures is in the Student Handbook. Cheating of any kind may result in a penalty ranging from a grade of zero for the work in question to a grade of "F" in the course AND will be referred to the College Court for assignment of penalty that may include suspension from the College. Referral to the College Court is required whether the student admits or denies the violation. Unless specifically authorized by the instructor, the following are examples of cheating. This is not an exhaustive list.

  1. On a test or quiz:
    1. Looking at or copying from another student's work.
    2. Allowing another student to look at or copy your work.
    3. Having a copy of the test before actually taking the test.
    4. Sharing a calculator.
    5. Communicating with anyone except the student's instructor using any form of communication including all forms of electronic communication.
    6. Accessing unauthorized material whether it be student notes, printed material, or material accessed electronically.
  2. On homework or other out-of-class assignments:
    1. Copying work or answers from another student.
    2. Copying work or answers from a book.
    3. Having another person do work for you.
    4. Allowing another student to use your work as his or her own.
    5. Presenting the work of another as your own (plagiarism).
    1. Submitting the programs, documentation or program results of another person as one's own.
    2. Obtaining or attempting to obtain unauthorized access to information stored in electronic form.
    3. Submitting false results of a program's output for a class assignment or falsifying the results of program execution for the purpose of improving a grade.
  3. For late work or tests:

Americans with Disabilities Act Statement

If you are a student who is disabled as defined under the Americans with Disabilities Act and requires assistance or support services, please seek assistance through the Center for Disability Services (CDS). A CDS Counselor will coordinate those activities.

Equal Opportunity Statement

No person shall, on the basis of age, race, religion, color, gender, sexual orientation, national origin or disability, be excluded from participation in, or be denied the benefits of, or be subjected to discrimination under any program or activity of Georgia Perimeter College.

Affirmative Action Statement

Georgia Perimeter College adheres to affirmative action policies designed to promote diversity and equal opportunity for all faculty and students.

Veterans and Serving Military

GPC honors its military and veteran men and women returning to pursue their educational goals. A Military Outreach Center is provided for them on the ground floor of Building H on the Clarkston Campus. Veterans, serving military, their dependents, and the survivors of serving military who are attending college are encouraged to avail themselves of a full range of college services and activities through the MOC. MOC resource tables are also located on all campuses to provide them with valuable information. The Center maintains a Military Outreach website at http://depts.gpc.edu/militaryoutreach/ and their telephone number is 678-891-3025.

Tobacco and Smoke-Free Campus Policy

Effective October 1, 2014, Georgia Perimeter prohibits the use of tobacco products on any property owned, leased, or controlled by GPC. All faculty, staff, students, visitors, vendors, contractors, and all others are prohibited from using any tobacco products while on GPC property. "Tobacco Products" is defined as cigarettes, pipes, cigars, all forms of smokeless tobacco, clove cigarettes and other smoking devices that use tobacco such as hookahs or simulate the use of tobacco such as electronic cigarettes. Violations of the smoking policy will be handled under the GPC Student Code of Conduct.