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: *Choose from approved textbook list
Supplies: All students need to have a scientific calculator.
Course Outline/Outcome Competencies: Be able to discuss and solve problems in the
following areas:
Introduction to Differential Equations
Understand definitions and terminology of differential equations
Understand solutions and Initial Value Problems
Set up differential equations as mathematical models
First Order Differential Equations
Perform Qualitative analysis of First order ODEs (direction fields and solution
curves)
Solve Separable Equations
Solve Linear Equations
Solve Exact Equations
Solve by substitution methods
Use simple numerical methods to solve first order ODEs
Modeling with First Order Differential Equations
Set up and use linear models
Set up and use nonlinear models
Model with systems of differential equations
Higher Order Differential Equations
Linear Differential Equations: Basic Theory
Reduction of Order
Homogeneous Linear Equations with Constant Coefficients
Undetermined coefficients – Superposition approach and Annihilator approach
Variation of Parameters
Cauchy Euler Equation
Solving Systems of Linear Equations by Elimination
Nonlinear Differential Equations
Modeling with Higher Order Differential Equations
Linear Models: Initial Value Problems
Series Solutions of Linear Equations
Solutions about Ordinary Points
Solutions about Singular Points
Special Functions
The Laplace Transform
Definition of the Laplace Transform
Inverse Transforms and transforms of derivatives
Numerical Solutions of Ordinary Differential Equations
Euler Methods and Error Analysis
Runge-Kutta Methods
Cauchy-Euler 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 section in the text and
will generally be due one week from the date of assignment. Late homework will not
be accepted.
Technical Writing Exercises: During the semester there will 3 writing assignments
where the student are required to make documented responses to questions dealing
with the concepts in the chapter.
Group Projects: There will also be 2 group projects as part of the course where the
students will be divided into groups of 3 or 4 and asked solve an exercise relating to
the topic of a given chapter. 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 a project.
Exams: During the semester there will be 3 exams. The content covered by each
exam will be explicitly discussed in class. The class period prior to each exam will
include a review.
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 03/18/15