WAYLAND BAPTIST UNIVERSITY
_________ CAMPUS
SCHOOL OF MATHEMATICS & SCIENCES
Wayland Mission Statement: Wayland Baptist University exists to educate students in an
academically challenging, learning-focused and distinctively Christian environment for
professional success and service to God and humankind.
Course Title and Number: MATH 4302-Section; Differential Equations
Term:
Name of Instructor:
Office Phone Number and WBU Email Address:
Office Hours, Building, and Location:
Class Meeting Time and Location:
Catalog Description: First and second order equations, power series, Laplace transforms,
systems of differential equations, numerical methods, and dynamical systems.
Prerequisites: MATH 3300 (Calculus III)
Required Textbook: A First Course in Differential Equations with Modeling Applications,
10th Ed. Dennis G. Zill WITH Enhanced WebAssign. (ISBN: 978-1-1338-0406-2)
*Choose from approved textbook list
Supplies: All students need to have a scientific calculator.
Outcome Competencies: Students who successfully complete this course will be able to:
1. Understand definitions and terminology of differential equations.
2. Solve first-order differential equations that are separable, linear or exact, or by making the
appropriate substitutions, including homogeneous and Bernoulli equations.
3. Use linear or nonlinear first-order differential equations to solve application problems such as
exponential growth and decay, population logistics growth, velocity, solution mixtures, two
component series circuits and chemical reactions.
4. Understand the relationship between slope fields and solution curves for differential equations.
Use a slope field and an initial condition to estimate a solution curve to a differential equation.
5. Approximate solutions of first-order differential equations using Euler and Runge-Kutta
methods.
6. Use the method of reduction of order.
7. Solve higher-order homogeneous and non-homogeneous linear equations with constant
coefficients using the method of undetermined coefficients and the method of variation of
parameters.
8. Use linear second-order differential equations to solve application problems such as
spring/mass system motion problems, acceleration, or three component series circuits.
9. Use power series to solve higher-order differential equations about ordinary or singular points.
10. Solve special classes of equations such as Cauchy-Euler, Bessel and Legendre equations.
11. Perform operations with Laplace and inverse Laplace transforms to solve higher-order
differential equations.
12. Solve systems of differential equations.
Attendance Requirements: All students are expected to attend all class sessions and are
responsible for knowing the material covered. No quizzes or exams can be made up unless
arrangements prior to the absence have been made. Any student missing more than 25%
of the class will fail the class.
Statement on Plagiarism and Academic Dishonesty: Wayland Baptist University
observes a zero tolerance policy regarding academic dishonesty. Per university policy as
described in the academic catalog, all cases of academic dishonesty will be reported and
second offenses will result in suspension from the university.
Disability Statement: In compliance with the Americans with Disabilities Act of 1990
(ADA), it is the policy of Wayland Baptist University that no otherwise qualified person with
a disability be excluded from participation in, be denied the benefits of, or be subject to
discrimination under any educational program or activity in the university. The Coordinator
of Counseling Services serves as the coordinator of students with a disability and should be
contacted concerning accommodation requests at (806) 291-3765. Documentation of a
disability must accompany any request for accommodations.
Course Requirements and Grading Criteria: – suggested
Homework: Homework will be assigned at the end of each lecture and is due at the
start of the next class. Homework is completed online via the WebAssign
website. Additional assignments will be conducted in Blackboard, including occasional
reading quizzes and concept tests.
URL: http://webassign.net
Group Projects: There will also be a group project as part of the course where the
students will be divided into groups of 3 or 4 and asked to develop and solve a model
using one of the techniques presented in this course. Students will be asked to
produce a written report based on their work. Additionally, each individual will be
required to participate in an oral presentation of the project.
Exams: During the semester there will be 3 exams. The content covered by each exam
will be explicitly discussed in class. There is no comprehensive final for this course. No
exam grades will be dropped.
Final: The Final Exam will be comprehensive. All students will be required to take
the Final Exam.
Grading:
%
%
%
%
%
Homework
Technical Writing Exercises
Group Projects
Exam Average
Final
A: 90 – 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: Below 60
Students shall have protection through orderly procedures against prejudices or
capricious academic evaluation. A student who believes that he or she has not been
held to realistic academic standards, just evaluation procedures, or appropriate
grading, may appeal the final grade given in the course by using the student grade
appeal process described in the Academic Catalog. Appeals may not be made for
advanced placement examinations or course bypass examinations. Appeals are
limited to the final course grade, which may be upheld, raised, or lowered at any
stage of the appeal process. Any recommendation to lower a course grade must be
submitted through the Executive Vice President/Provost to the Faculty Assembly
Grade Appeals Committee for review and approval. The Faculty Assembly Grade
Appeals Committee may instruct that the course grade be upheld, raised, or lowered
to a more proper evaluation.
Tentative Schedule:
Academic Honesty: Disciplinary action for academic misconduct is the responsibility of the
faculty member assigned to this course. The faculty member is charged with assessing the
gravity of any case of academic dishonesty, and with giving sanctions to any student
involved.
Important Dates:
Last
Last
Last
Last
day to drop without record
day to withdraw with “W”
day to withdraw with a “WP/WF”
Class
This syllabus is only a plan. The teacher may modify the plan during the course. The
requirements and grading criteria may be changed during the course if necessary.
Revised 1/12/16