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BERGEN COMMUNITY COLLEGE
DIVISION OF MATHEMATICS, SCIENCE AND TECHNOLOGY
DEPARTMENT OF MATHEMATICS
COURSE SYLLABUS
MAT-283 DIFFERENTIAL EQUATIONS
COURSE Differential Equations is a study of first order equations, linear equations with
DESCRIPTION: constant coefficients, non-homogeneous equations, variation of parameters,
series solutions, Laplace Transforms, boundary value problems, Fourier series, systems
of differential equations, and applications.
CREDITS/HOURS: 4 credits, 4 hours
PREREQUISITE: MAT-282 Calculus III or by permission of the Department Chair
GENERAL EDUCATION
COURSE: No
STUDENT Upon successful completion of this course the student will be able to:
LEARNING
OBJECTIVES: 1. Calculate solutions to first-order ordinary differential equations.
2. Calculate solutions to higher-order ordinary differential equations.
3. Calculate solutions to systems of first-order ordinary differential equations.
4. Utilize the concepts of differential equation theory to model and solve applied
problems.
ASSESSMENT Each of the above listed student learning objectives will be assessed by:
MEASURES: 1. Written assignments and/or quizzes.
2. Written examinations.
3. Other, as announced by the instructor.
COURSE GRADE: Students should refer to the instructor’s grading policy which will be distributed during the first
meeting of the class.
TEXTBOOK: Differential Equations with Boundary-Value Problems, 7th Edition,
Zill and Cullen; Cengage Publisher
Optional: Student Solutions Manual, Zill and Wright
COURSE CONTENT:
TOPIC CHAPTER SECTIONS
An Introduction to Differential Equations 1 1 - 3
First-Order Differential Equations 2 1 - 6
Applications of First-Order Differential Equations 3 1 - 3
Linear Differential Equations of Higher Order 4 1 – 7, (8, 9 optional)
Applications of Second-Order Differential Equations 5 1 - 3
Differential Equations with Variable Coefficients 6 1, (2, 3 optional)
Laplace Transforms 7 1 - 5, (6 optional)
Orthogonal Functions and Fourier Series 11 1 - 3
REFERENCES:
Differential Equations with Applications, Ritger and Rose, McGraw-Hill.
Elementary Differential Equations and Boundary Value Problems, Boyce and
DiPrima, Wiley.
Elementary Differential Equations, Edwards and Penney, Prentice-Hall.
Differential Equations, Schaum's Outline Series, Ayers and Frank, McGraw-Hill.
ELECTRONIC The Department of Mathematics prohibits the use of cell-phones, PDA’s,
DEVICES: laptops, headphones, IPODs and other such devices in mathematics classes
unless otherwise specified in the grading policy provided by the instructor at the
beginning of the semester.
FACULTY CLASS CANCELLATIONS may be found at http://www.bergen.edu/classcancellations
ABSENCE A list is also posted in a glass case near A-129, the main corridor on the first floor and
PROCEDURE: in Ender Hall. If a cancelled class is not listed, it should be reported to the Department
Office (A-327) or the Adjunct Office (C-107).
WEBSITE: Go to http://www.bergen.edu/academics/academic-divisions-departments/mathematics
for more information regarding the Mathematics Department.
STUDENT Learning Assistance Center Room: L-125 879-7489
SUPPORT Math and Science Walk-In Room: L-131 879-7489
SERVICES: Office of Specialized Services Room: L-115 612-5269
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