Department Of Mathematics

MAP 2302: Differential Equations

Summer 2014

E-mail: pfernandez@valenciacc.edu       Web: http://faculty.valenciacc.edu/pfernandez

Note:  Will communicate mainly through the Atlas e-mail. If you do not check your Atlas e-mail on a regular basis, please forward your Atlas e-mail to your personal e-mail. To do so, go to your Atlas e-mail. Under the Options tab, you will find the Auto Forward link. In there you can write your personal e-mail . That will forward your atlas e-mails to that e-mail.

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Students Engagement Hours*:

On-campus hours (Bldg. 4-241)                                        Online hours at pfernandez@valenciacc.edu

MW 8:00 a.m. – 9:30 a.m.; 11:30 a.m.-12:30p.m.                  TR  8:30 – 10:00 a.m.;  F 8:30 – 10:30 a.m.

*Individual appointments are available upon request.

Teaching Philosophy:

My role is to lead and guide you into learning. Since I care about your academic success, I will be providing you a quality-learning environment. In this course you will have the opportunity to learn skills that will be relevant to your professional career.

Course Description:

MAP 2302 Differential Equations (3 credit hours)

Prerequisite: Minimum grade of C in MAC2313 or departmental approval.

Introduction to methods and applications of ordinary differential equations. Topics include first order differential equations and applications; higher order linear differential equations with applications: Laplace transforms; introduction to numerical methods. Gordon Rule course. Minimum grade of C required if MAP 2302 is used to satisfy Gordon Rule and general education requirements.

Topics:

1. Introduction to Differential Equations.  

2. First Order Equations. (Sec. 2.1 - 2.6) Background:  Integration

3. Modeling with Differential Equations. (Sec. 3.1) Background: Integration

4. Differential Equations of Higher Order (Sec. 4.1 - 4.4, 4.6-4-4.7) Background: Integration

5. Modeling with Higher-Order Differential Equations (Sec. 5.1)

6. Series Solutions (Sec. 6.1) Background: Infinite series, Power series

7. Laplace Transforms. (Sec. 7.1 - 7.4) Background: Improper integrals, Partial fractions

Educational Materials:

Ø        A First Course in Differential Equations, 8th ed., 9th ed. or the Valencia East Campus customized version of the 9th ed. by Dennis Zill

                              Zill's 8Th ed.                         Zill's 9th ed.               Zill's custom 9th ed.

Zill's customized version of the 9th ed. can only be found at Valencia East campus bookstore. It cost about half of what the other books cost (about $100).

If you want to rent the textbook or to buy the e-book through the publisher, you can go to

http://www.cengagebrain.com/tl1/en/US/storefront/US?cmd=catAdvancedSearch&OP=search&fieldName=All&fieldValue=A%20First%20Course%20in%20Differential%20Equation%2C%20%209th%20ed%2C%20Dennis%20Zill

Valencia Core competencies: TVCA

Valencia faculty has defined four interrelated competencies (Value, Think, Communicate and Act) that prepare students to succeed in the world community.  These competencies are complex abilities that are essential to lifelong success. This course will help you develop and demonstrate the abilities to (1) think clearly, critically, and creatively; (2) communicate with others verbally and in written form; (3) make reasoned value judgments and responsible commitments; and (4) act purposefully, reflectively, and responsibly.  Due to the nature of these global competencies many problems and activities will be presented in the context of an application.  These applications will require students to select appropriate information from the problem and communicate effectively how to arrive at an appropriate solution.

Attendance:

Attendance will be taken every day. Regular attendance and class participation are significant factors that promote success in this course. Students are expected to attend every class, be punctual and complete all the assignments. Students are responsible for all class materials and any announcement made in class whether or not you are present. Students with excessive  unexcused absences may be withdrawn from the class. Please let me know if you have to be absent.

Tardiness:

All classes start at the time indicated on your class schedule. Being late to class or leaving early is a disruption and is discourteous to the students and your professor. Students to persist on being tardy or leaving early will be dealt with on an individual basis. Please let me know if you have to be late or leave early.

Class Participation:

Students are encouraged to participate actively and ask pertinent questions during class.

Homework

Completion of homework is crucial to the student’s success in this course. Homework problems are assigned on a regular basis. After each class, you need to spend considerable amount of time working the homework assignment before attending the next class period. Failure to do so will result in you falling behind.

Evaluation:

There will be 3 in class tests and a comprehensive final. All tests are comprehensive with emphasis of the most recently completed material. Test problems are similar to homework problems, examples on the book and/or examples worked in class.  You should be prepared to take a quiz at any time. These are to monitor your progress in the class. Tests will count as one (1) grade each, quizzes will count as one (1) grade and the comprehensive final will count as one (1) grade. There will be a total of 5 grades.  Your quiz grade can replace your lowest test grade, if the quiz grade is higher than any of the tests grades. Grades will be based on 60-69, 70-79, 80-89, 90-100 being D, C, B and A respectively. Students that stop coming to class without withdrawing or do not take the final exam will receive a grade of "F".  Students that withdraw after withdrawal deadline will receive a WP or WF based upon the student’s average at the last day of attendance.

Make-ups:          

No make-up test will be given.  If a (one) schedule test is missed your final exam grade will be used in place of the missed test score. Only one test can be replaced per academic term.

Important Dates:             

NOTE:  Students with disabilities who qualify for academic accommodations must provide a letter from the Office for Students with Disabilities (OSD) and discuss specific needs with the professor during the first week of class.  The Office for Students with Disabilities determines accommodations based on appropriate documentation of disabilities.

Disclaimer: This syllabus is subject to changes upon my discretion.