Math 210-Q: Differential Equations
Course Syllabus
Summer 2014
Instructor: Dr. Abdallah Shuaibi
Office #: 3824B
Email: ashuaibi1@ccc.edu
URL: http://faculty.ccc.edu/ashuaibi/
Phone #: (773)907-4088
Office Hours:
DAYS
Monday & Wednesday
WALK-IN OFFICE HOURS ADVISEMENT OFFICE HOURS
4:30 - 6:00 pm 1:30 - 2:00 pm
Wiley Plus Website Address: www.wileyplus.com
Class Section URL: http://edugen.wileyplus.com/edugen/class/cls396730/
The Truman College Mission Statement: Our Mission dedicates us to deliver high-quality, innovative, affordable, and accessible educational opportunities and services that prepare students for a rapidly changing and diverse global economy.
Class Time and Place: Monday & Wednesday 6:00 - 8:50 PM, Room #: 3963.
Prerequisite: A grade of C or better in Mathematics 208, or consent of department chairperson.
Contact & Credit Hours: Six hours per week, for eight weeks for four (3) credit hours. The instructor is also available for consultation during conference hours.
Length of Course: 8 weeks.
Student the Course is Expected to Serve: This course is intended for students who are planning to major in Math, Science, and Engineering. It is a prerequisite for university mathematics and engineering courses.
Text: Elementary Differential Equations, 10th Edition, by Boyce/Diprima[Binder Version with Binder &
WileyPlus] .
Course Description: A first course in ordinary differential equations; solutions of first order and first degree differential equations, linear differential equations with constant coefficients. Linear differential equations of higher order, special differential equations of second order and differential equations of first order but not of first degree. Numerical methods, Series solutions, Laplace Transform and applications included. Writing assignments, as appropriate to the discipline, are part of the course.
Other materials: Students are required to have a scientific or a graphing calculator. You are not allowed to use a cell phone as a calculator.
Internet Resources: The textbook we are using is bundled with WileyPlus software. WileyPlus is a text-specific, easily customizable online courses for textbooks in Mathematics and Statistics. WileyPlus provides a rich and flexible set of course materials, featuring free-response exercises correlated directly to the textbook that instructors can assign for online homework, quizzes, and tests. These exercises regenerate algorithmically for unlimited practice and mastery, and in homework and practice modes, each exercise is accompanied by an interactive guided solution and sample problem. WileyPlus provides students additional with multimedia resources, such as video lectures, animations, and an eBook, to independently
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improve their understanding and performance. a Binder version of the textbook with a binder and Wiley-
Plus is available at Beck’s Bookstore.
Course Objectives:
1. Discuss the classifications of differential equations.
2. Present a variety of methods for solving differential equations involving the first derivative.
3. Present a variety of methods for solving differential equations involving higher order derivatives.
4. Discuss series solutions of differential equations.
5. Define Laplace Transform and discuss how to use it to solve initial value problems.
6. Apply differential equations solution methods to contextual (real-world) situations.
Student Learning Outcomes:
Upon satisfactory completion of the course, students will be able to:
1. Solve differential equations involving first derivatives by separation of variables, linear substitution, method of homegenous coefficients and linear first order equations.
2. Solve differential equations involving higher order derivatives if the equation is linear with constant coefficient or Cauchy Euler using a variety of methods such as homogeneous problems, linearly independent solution combined to form general solutions, undetermined coefficients, and variation of parameters.
3. Determine Ordinary and Singular points for differential equations.
4. Solve differential equations using series near ordinary or singular points.
5. Determine Laplace or Inverse Laplace Transforms for certain functions.
6. Apply Laplace Transform in solving Initial Value Problems.
7. Apply differential equations solution methods to contextual real life applications.
General Education Goals:
This course addresses the following TR General Education Goals:
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The student performs effectively in the workplace and/or has the ability to work and make effective use of wide variety of current technologies. (Gen. Ed. Goal 2)
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The student demonstrates the ability to think critically, abstractly, and logically. (Gen. Ed. Goal 4)
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The student demonstrates the ability to work independently. (Gen. Ed. Goal 6)
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Class Operation:
1. Homework: Homework assignments will be assigned daily and they are created using WileyPlus software. These assignments help you to gain a deep understanding of the material and they will be graded automatically. The quizzes will be based on the homework problems, worksheets, and problem sets. Students who keep up the daily work are generally those who do well on quizzes and tests.
2. Blackboard & Web site: It is your responsibility to check the Blackboard &
My Web site regularly for announcements and other important information regarding the course.
3. Quizzes: Throughout the semester, we will have at least 6 (in-class/take-home) quizzes. These quizzes cannot be made up.
There are no exceptions . As a result, I will drop the lowest quiz.
4. Tests: There will be three exams during the semester besides the final exam . The final exam is also cumulative, and it will be given during the last week of the semester.
Policies:
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Participation : Class participation is mandatory . You are expected to come to all classes. If you have any question, be ready to ask it at the beginning of the class. The average student should plan two hours of out of class time for each hour of class. Some students need more time than this.
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Make-up Policy : No make-up exam is given without prior notification and documented acceptable excuse. The student must contact the instructor by telephone or e-mail on the day of the exam if there is any problem. If you know in advance of an unavoidable absence, arrangements can be made to take a test prior to the absence.
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Attendance/Tardiness Policy : Students must attend regularly every lecture. They are expected to be there ON TIME. Each late and early departure , for whatever reason, will be considered half an absence. A student arriving and/or leaving 15 minutes or more after the class has started or ended will be considered absent, not late, but absent, regardless of their presence during some portion of the class. Class attendance will be taken within five minutes after each class session starts. If you are late, it is your responsibility to ensure that your attendance is recorded at the end of the lecture.
Otherwise, it might be considered absent. If you miss a class, it is your responsibility to obtain the assignment and find out what material was covered.
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Mathematics Department Active Pursuit of Course Objectives & ADW Policy : Students are not actively pursuing the course objectives and will be administratively withdrawn (ADW) at midterm if at least two of the following apply:
1. Less than 70% of assignments up to the midterm have been completed.
2. Less than 70% of quizzes and tests up to the midterm have been attempted.
3. Less than 50% of class sessions up to the midterm have been attended.
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Cell Phones and Beepers : Electronic devices cause disruption during class and are not permitted. In order to respect the learning environment, please turn off all such items prior to class.
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Academic Support & Computer Labs : http://www.trumancollege.cc/studentservices/tutoring (Tutoring Center) http://www.trumancollege.cc/studentservices/tutoring/currentschedule.pdf (Schedule) http://www.trumancollege.cc/studentservices/ssli (Student Services) http://www.trumancollege.edu/trio. (Trio Program)
Additional Information
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The Math Center : The Math Center is a free service for all Truman students taking Foundational
Studies Math, Math 98, Math 99, and students studying for the placement test. The Math Center is also open to credit level math students during specific periods. The Math Center focuses on active and cooperative learning. Students may use the Math Center to work on homework, study for tests, to get answers to quick questions and for informal study sessions.
The Math Center does not provide one-on-one, individualized help. The Math Center is located in
Room 1220. The telephone number is (773)907-6832. Hours of Operation are Monday-Thursday:
9am - 7pm, Friday: 10am - 4pm and Saturday: 11am - 2pm.
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The Tutoring Center : The Tutoring Center is available for individualized, one-on-one and group help working through problems. Additionally, the Tutoring Center offer assistance in most subject areas. Any City Colleges of Chicago student is welcome to use the services in the Tutoring Center free of charge.
The Tutoring Center is located in Room 177 of the Larry McKeon Student Services Building. The telephone number is (773)907-4790. Hours of Operation are Monday-Thursday: 9am - 9pm, Friday:
9am - 7pm and Saturday: 9am - 4pm.
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The Writing Center : The Writing Center is a free service for all Truman students taking any college credit course. The Writing Center offer guidance and feedback on any writing assignment for any credit class. Writing papers is an important part of college, and students often need guidance in structuring their essays, using the right words, or even deciding on a main idea. The Writing Center offers students one-on-one consultations on their writing assignments. The consultants on staff are all current or former City Colleges of Chicago instructors who hold at least a master’s degree in English or other related areas. Students may make 25 or 50-minute appointments by stopping by the front desk or calling the Writing Center. During these appointments, Writing Center Consultants will look at your work to find both your strengths and your areas of improvement. In the interest of fairness, each student is allowed a maximum of three 50-minute sessions a week.
The Writing Center is located in Room 1435. The telephone number is (773)907-4387. Hours of
Operation are Monday-Thursday: 9am - 7pm, Friday and Saturday: 11am - 2pm.
Students with Disabilities
The Disability Access Center (DAC) is located in Larry McKeon Student Services Building, Room 162.
This is the Center, responsible for verifying that students have a disability -related needs for academic, accommodations and for planning appropriates accommodations, in cooperation with the students themselves and their instructors. Students who need academic accommodations should request them from the
DAC Center Director, Linda Ford, who can be reached at 773-907-4725.
Office hours are Monday-Thursday (9:00 a.m.-7:00 p.m.) & Friday (9:00 a.m. 4:00 p.m.)
Truman College Academic Integrity Policy: If the alleged violation of the Academic Integrity policy occurs in the classroom, the instructor will determine if a student has committed an act of academic dishonesty. The instructor may take action commensurate with the severity of the act. The instructor may:
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1. Assign a grade ‘F’ or ‘0’ to the assignment or test or appropriate part of the assignment or test.
2. Make a proportional reduction in the grade for an entire assignment, if the assignment is a part of a large assignment.
3. Assign a grade ‘F’ for the course. “See the student Handbook for specifics”.
Types of Activities: There will be an emphasis on on active and cooperative learning strategies throughout this course. Active Learning is, in short, anything that students do in a classroom other than merely passively listening to an instructor’s lecture. This includes everything from listening practices which help students to absorb what they hear, to short writing exercises in which students react to lecture material, to complex group exercises in which students apply course material to ”real life” situations and/or to new problems. Cooperative learning is a successful teaching strategy in which small teams, each with students of different levels of ability, use a variety of learning activities to improve their understanding of a subject.
Each member of a team is responsible not only for learning what is taught but also for helping teammates learn, thus creating an atmosphere of achievement. Some of the class active/cooperative strategies are
Think-Pair-Share, Student Summaries, One-Minute Paper, Roundtable, Corners and Shared Brainstorming.
Weekly Schedule:
1. [June 4]: Some Basic Mathematical Methods; Direction Fields(1.1), Solutions of Some Differential
Equations(1.2), Classification of Differential Equations(1.3).
2. [June 9 & 11]: Linear Equations; Method of Integrating Factors(2.1), Separable Variables(2.2), Modeling with First Order Equations(2.3), Differences Between Linear and non Nonlinear Equations(2.4),
Autonomous Equations and Population Dynamics(2.5).
3. [June 16 & 18]: Exact Equations and Integrating Factors(2.6), Numerical Approximations:Euler’s
Method(2.7)[optional], The Existence and Uniqueness Theorem(2.8).
[Review & Exam I-June 16] .
4. [June 23 & 25]: Homogeneous Equations with Constant Coefficients(3.1), Solutions of Linear Homogeneous Equations; the Wronskian(3.2), Complex Roots of the Characteristic Equation(3.3), Repeated
Roots; Reduction of Order(3.4).
5. [June 30 & July 2]: Nonhomogeneous Equations; Method of Undetermined Coefficients(3.5), Variations of Parameters(3.6), Mechanical and Electrical Vibrations (3.7)[Optional], General Theory of nth Order Linear Equations(4.1).
[Review & Exam II-June 30] .
6. [July 7 & 9]: Homogeneous Equations with Constant Coefficients(4.2), The Method of Undetermined
Coefficients-Superposition(4.3), The Method of Variation of Parameters(4.4), Review of Power Series(5.1), Series Solutions Near an Ordinary Point, Part I(5.2).
7. [July 14 & 16]: Series Solutions Near an Ordinary Point, Part II(5.3), Euler Solutions; Regular Singular Points(5.4), Series Solutions Near a Regular Singular Point, Part I(5.5), Series Solutions Near a
Regular Singular Point, Part II(5.6), Bessel’s Equation(5.7)[optional].
[Review & Exam III-July 14] .
8. [July 21 & 23]: Definitions of the Laplace Transform(6.1), Solution of Initial Value Problems(6.2),
Step Functions(6.3), Differential Equations with Discontinuous Forcing Functions(6.4), Impulse Functions(6.5), The Convolution Integral(6.6)[Optional].
[Review & Final Exam - July 23] .
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Grading Policy:
Exam I
Exam II
Exam III
Final Exam
15 %
15 %
15 %
25 %
WileyPlus Assignments 15 %
In-Class Quizzes 15 %
Grading Scale:
90-100 80-89 70-79 60-69 0-59
A B C D F
Extra Help!: Many students find that they need extra help in addition to that available in class. Help is available from the instructor at the times indicated or by appointment. Also, recognize that others in the class can and are willing to help. You are encouraged to keep in touch with classmates who have similar schedules. Tutoring is also available at Truman college.
NOTE: The Instructor has the right to modify the course syllabus to accommodate the learning requirements of the class
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