22M:041 Differential Equations for Engineers
Fall Semester 2000
2000 Catalog Data: 22M:041 3 s.h.
Description: Methods of solution of first-order differential equations, higher-order differential equations and systems of linear differential equations, including Laplace transforms.
Textbook: Boyce, W.E. and DiPrima, R.C., Elementary Differential Equations and Boundary Value Problems, 7th Edition.
Coordinator: Jeffrey S. Marshall, Mechanical Engineering
Goals: This course introduces engineering students to the theory of ordinary differential equations, which is needed for studying linear systems.
Learning Objective: In this course, students learn the basic methods for solving first-order and linear second-order ordinary differential equations.
Prerequisites by topic: 1. Engineering calculus
2. Matrix theory
3. Complex numbers
Topics (Class Hours) 1. First order equations with exact solutions (4)
2. Limits and continuity (2)
3. Higher-order linear differential equations (8)
4. Applications of second-order differential equations (6)
5. Laplace transforms (8)
6. Systems of linear differential equations (11)
7. Series solutions of linear differential equations (2)
8. Examinations (3)
(44)
Computer Usage: none
Laboratory Projects: none
Example Course Outcomes Worksheet (COW)
(Student Achievements) / Course Activity
(Student work to achieve Outcome) / Tools to Assess Outcome
● / (i) They will have the ability to apply knowledge of mathematics, science and engineering in their chosen fields. / Students attend lectures, do weekly homework assignments and take two midterm exams and one final exam / Graded copies of sample homework assignments and exams*
(ii) They will have the ability to design and conduct engineering experiments, and to analyze and interpret experimental results. / None
(iii) They will have the ability to design systems, components, or processes to meet specified objectives in their chosen fields. / None
(iv) They will have the ability to work as members of multidisciplinary project and/or research teams, and have an understanding of leadership in teams and organizations. / None
(v) They will have the ability to identify, formulate, and solve engineering problems. / None
(vi) They will have an understanding of professional and ethical responsibility and the value of mentorship and peer support. / None
(vii) They will have the ability to communicate effectively in oral form. / None
(vii) They will have the ability to communicate effectively in written form. / None
(vii) They will have the ability to communicate effectively in graphical form. / None
(viii) They will have an education that is supportive of a broad awareness of the diversity of the world and its cultures, and that provides an understanding of the impact of engineering practice in the global community. / None
(ix) They will understand the importance of updating and maintaining their technical skills and continuing their education throughout their professional careers. / None
(x) They will have a knowledge of contemporary issues. / None
(xi) They will have the ability to use the principles, techniques, skills and modern engineering tools necessary for successful engineering practice and/or research in their chosen fields. / None
○ denotes moderate contribution to the outcome ● denotes substantial contribution to the outcome
*Samples of each to represent 10% of the class. One high score and one low score will be collected with the remainder of the sample a random selection.