NHTI – Concord’s Community College

31 College Drive

Concord, NH 03301-7412

(603) 271-6484

SYLLABUS

Spring 2012

Department Course Number:

Title:
Course Hours: /

Math 210

Differential Equations (4 Credit Hours)
4 Credit hours – Two 2-hour blocks per week

Instructor and contact info:

/ Name
Office: Place
Telephone: # Email: Name

Office Hours: Where and When

Required Texts and Materials: / Fundamentals of Differential Equations and Boundary Value Problems, 5th edition (bundled with IDE software), Nagle, Saff, and Snider, Person- Addison Wesley
ISBN 0-321-38843-7
** TI-84 Calculator Required** {or equivalent at Instructor’s discretion}
Catalogue Description: / This course in differential equations will include: Methods of solving and applications of ordinary first-order and second-order differential equations, Laplace Transformation, Series Solutions, basics of Linear Algebra and Boundary Value Problems.
The course will consist of lectures, discussions, computer/calculator exercises, exams, and a comprehensive final. Occasionally, in-class work will be assigned to help assess the progress of the class.
Prerequisite: / Calculus II (MT 206)
Attendance Policy / Since attendance is crucial for success in this course, any student whose absences exceed the number of times this course meets per week (2) runs the risk of being terminated from the course at the discretion of the instructor.
Make up Exams: / A missed test/exam can be considered for make-up only if the instructor has been notified—prior to the scheduled exam time—that the student can not take the exam as scheduled. You are NOT guaranteed makeup of tests/exam; individual circumstances will dictate whether or not you are allowed makeup
Homework / Since mathematics is NOT a spectator sport, completion of homework is necessary for mastery of the material Students who do not keep up on their homework on a regular basis will find successful completion of this course quite difficult. The attached suggested list of problems is only a guide and each student must determine how many problems in each section are needed to be completed to understand the material. It is essential the student works outside of the classroom to master the concepts of Calculus. Lack of doing homework will be detrimental to both your test grades and productive class participation. For each hour of instruction, you should budget 2 – 3 hours for homework.
Each class will begin with a short period addressing questions about previous homework. If a student requires more help on a section, my office, during posted hours, or the LearningCenter are the primary places to receive the needed help.
Grading: / 100-93 A 92-90 A- 89-87 B+ 86-83 B 82-80 B-
79-77 C+ 76-73 C 72-70 C- 69-67 D+ 66-63 D
62-60 D- <60 F **For conversion to GPA see Student Handbook**
Course Grade: / The grade a student earns is based solely on their mastery of the material. There will be no extra credit, re-takes, mulligans, or do-overs in this course.
Written Exams – 75%
Final Exam – 25%
Grade Reporting: / Faculty submit grades electronically to the Registrar’s Office within a few days following the end of each final exam period. FINAL GRADES ARE NOT MAILED to students. It is the student’s responsibility to review his/her final grades via the Student Information System as soon as grades are available. Students who receive an “I” (Incomplete) grade should coordinate with the instructor to complete the remaining coursework as soon as possible. Unresolved “I” grades may affect (i.e., delay or reduce) financial aid awards and will convert to an “F” (Failing) grade after a specified time period. Consult the NHTI catalog for the full “Incomplete Grade Policy.”
Classroom Behavior: / The use of cell phones during class is prohibited so please make sure all phones are turned off prior to the start of each class. Students who abuse this policy will be asked to leave the class for the remainder of the period. Multiple infractions may result in the student being removed from the course.
Though drinks arepermitted during class, please refrain from bringing in food.
Please arrive to class on time. Students who are consistently late may be removed from the course.
Professional behavior is expected from students at all times.
Academic Honesty: / Honesty is expected of all students. Students who are caught cheating may be removed from the course at the discretion of the instructor. For further clarification see the Student Handbook
Cancellation/Delayed Start of Classes: / When the President deems it prudent to cancel all classes at the college, the announcement will be made on WMUR-TV, Channel 9. In addition, the announcement will be made on local radio stations, posted to the NHTI Web site, and sent out via the NHTI Alert System. Students checking the Web page for cancellation announcements should be aware that the page must be repeatedly “refreshed” to obtain the latest information.
Occasionally, the President will opt for a delayed start to classes. This means that students should be prepared to begin their school day with whatever activity they would normally be doing at the announced opening time. For example, if a two-hour delay is announced, and a student is scheduled for a class that normally meets from 8:00-10:50 AM, the student should come to that class at 10:00 AM for the remaining 50 minutes of class; classes that are normally completed before 10:00 AM would be cancelled.
IF CLASSES ARE CANCELLED ON THE DAY AN EXAM IS SCHEDULED, PLAN ON TAKING THE EXAM AT THE NEXT SCHEDULED CLASS TIME.
Class cancellations due to weather will be posted
on the website:
Should class be cancelled by the instructor, every effort will be made to notify the students by e-mail and a posting to Blackboard. In all instances, class cancellations will be posted outside of the classroom.
Additional Info / The Learning Center (LC) provides free academic assistance to NHTI students. The LC offers peer tutoring in all subjects; drop-in professional tutoring in writing, math, accounting, computers, and Anatomy and Physiology; Disability Services; and a computer lab. The LC is in the new Library; call 271-7725.
Students with disabilities who want accommodations must contact the Coordinator of Disability Services in the LC (271-7723). Please refer to the Policies and Procedures Manual for Services Available for Students with Disabilities. The student is responsible for sharing his/her plan with the instructor and for requesting specific accommodations at least one week prior to when they are needed. Noting in your writing or discussions with faculty that your disability affects academic skills does not constitute formal disclosure of a disability.

MT 210Diff-EqProposed Syllabus: Spring, 2012

Week 1

/ 1.1 - Background 1.2 - Solutions and Initial Value Problems 1.3 - Direction Fields

Week 2

/ 2.2 - Separable Equations 2.3 - Linear Equations

Week 3

/ 2.4 - Exact Equations 3.1 – Mathematical Modeling

Week 4

EXAM 1

/ 3.2 – Compartmental Analysis 3.4 – Newtonian Mechanics

Week 5

/
3.5 – Electrical Circuits 3.6 – Improved Euler’s Method 3.7 – Higher-Order Numerical Methods: Taylor and Runge-Kutta

Week 6

/ 4.1 – Introduction: The Mass-Spring Oscillator 4.2 – Homogeneous Linear Equations: The General Solution
4.3 – Auxiliary Equations with Complex Roots

Week 7

Exam 2 / 4.4 – Nonhomogenous Equations: The Method of Undetermined Coefficients 4.5 – The Superposition Principal and Undetermined Coefficients Revisited

Week 8

/ 4.6 – Variation of Parameters 4.7 – Variable-Coefficient Equations 4.8 – Qualitative Considerations for Variable-Coefficient and Non-Linear Equations

Week 9

/ 4.9 – A Closer Look at Free Mechanical Vibrations 4. 10 – A Closer Look at Forced Mechanical Vibrations 5.1 – Interconnected Fluid Tanks

Week 10

/ 5.2 – Elimination Method for Systems with Constant Coefficients 5.3 – Solving Systems and Higher-Order Equations Numerically 5.4 –Introduction to Phase Plane

Week 11

Exam 3 / 5.5 – Applications to Biomathematics: Epidemic and Tumor Growth Models 5.6 – Coupled Mass-Spring Systems

Week 12

/ 5.7 – Electrical Systems 7.2 – Definition of the Laplace Transform 7.3 – Properties of the Laplace Transform

Week 13

/ 7.4 – Inverse Laplace Transform 7.5 – Solving Initial Value Problems 7.6 – Transforms of Discontinuous and Periodic Functions

Week 14

Exam 4 / 7.7 – Convolution 8.1 – Introduction: The Taylor Polynomial Approximation

Week 15

/ 8.2 – Power Series and Analytic Functions 8.3 – Power Series Solutions to Linear Differential Equations 8.4 – Equations with Analytic Coefficients

FINAL EXAM SCHEDULE: TBD

The above schedule is subject to reasonable modification by the instructor to meet the needs of the class.