Ordinary Differential Equations

Course Description

First order differential equations and linear equations of finite order, Laplace transforms, undetermined coefficients, variation of parameters, applications, numerical methods. Prerequisite: Grade of C or better in MAT 292 or MAT 296.

Syllabus

Student Learning Outcomes, Goals, Objectives:

Students successfully completing this course will be able to:

  • Identify various classes of ordinary differential equations.
  • Apply fundamental existence and uniqueness theorems for solutions to ordinary differential equations.
  • Employ specific solution techniques for certain classes of ordinary differential equations.
  • Qualitatively analyze problems for certain classes of ordinary differential equations.
  • Assess various approximation techniques for ordinary differential equations.

Students will demonstrate their achievement of the learning objectives through satisfactory completion of formative homework assignments and summative quizzes, exams, and projects.

Course Grading Information:

Activity/Performance Measure Percentage/Points
Midterm Exams 45%
Homework 10%
Quizzes 10%
Projects 10%
Final Exam 25%

A student’s letter grade is a measure of their mastery of course material and their fulfillment of course objectives. Students are expected to use precise mathematical language and to write clear explanations of methods and justifications to receive full credit. All graded assignments must be completed in pencil. If any assignment is completed in pen, a grade of zero will be given for the assignment. Illegible work will receive no credit. Late homework will not be accepted. An additional 10% deduction will be taken on a project’s grade for each day a project is late.

Grading Scale

Percentage Letter Grade
92% - 100%A
90% - 92%A-
87% - 90%B+
82% - 87%B
80% - 82%B-
77% - 80%C+
72% - 77%C
70% - 72%C-
67% - 70%D+
62% - 67%D
60% - 62%D-
0% - 60%F

Attendance/Participation:

Attendance will be recorded throughout the semester, but attendance will not directly affect a student’s grade.

Make-up quizzes will not be given. Make-up exams will be given only if a student receives prior approval for a valid excuse by contacting the instructor at least 48 hours in advance. A student will be permitted at most one make-up exam. Make-up exams will not be given for the final.

Expected participation includes reading the text prior to class, completing all assignments in a timely manner, and seeking the assistance of the instructor when necessary.

Course Materials Purchased by the Students:

Nagle, R. K., Saff, E. B., & Snider, A. D. (2017). Fundamentals of differential equations (9th ed.). Pearson. ISBN 13: 9780321977069.

Scholarly Perspectives

This course engages diverse scholarly perspectives to develop critical thinking, analysis, and debate and inclusion of a reading does not imply endorsement.