Eng227-Engineering Mathematics II

Fall 2022

Friday  14:00pm-16:50pm-A315

Author: W. Boyce,  Richard DiPrima

2) Advanced Engineering MathematicsAuthors: Dennis G. Zill and Michael R. Cullen

3) Differential Equations & Boundary Value Problems , Pearson Education.

Authors: Edwards and Penney

To help you develop a solid understanding of what Differential Equation is, and to equip you to use Differential Equation effectively in subsequent courses and in your career. At the conclusion of this course you should be able to :

a)  Understand the concept of differential equations, classification, their solutions, and their applications, qualitative techniques for obtaining information about solutions to differential equations, and direction fields.

b) Solve differential equations by different methods such as separation of variables, the transformation of variables, exactness, and method of inspection.

c) Understand the linear differential equations, complimentary solution, auxiliary equation, linear independence, and Wronskians.

d) Understand the method of undetermined coefficients, the method of variation of parameters, and the Euler equation. Laplace Transformation and its properties.  Dirac Delta function. Application of Laplace Transformation to differential equations.

e) Apply differential equations to problems in engineering, and an understanding of the mathematical modeling process.

Attendance is crucial for doing well in the course. Experience indicates that the students who do not attend the class regularly fail miserably. It is strongly recommended that you do not miss any class.

There will be one midterm test and a final exam. The final exam is a two-hour common comprehensive exam .

Midterm Exam(2018)

Final Exam (Spring 2022) (New! June 7)

Final Exam Review Problems( Spring 2022)

Fall 2017 Final Exam

Final Exam Review Problems(revised)

Sample Midterm Exam

Your final grade will be calculated as follows:

40%(MidtermTest) + 60%(Final Exam Score).

Unless otherwise indicated, all grades out of 100 will correspond to the following scale:

0 < F< 50, 50 < DF< 60, 60 < DD < 65,

65 < CD< 70,  70< CC< 75,  75 < CB< 80,

80 < BB< 85, 85 < BA< 90, 90 < A < 100.

From “Teaching at the University Level” by Stephen Zucker, Notices Amer. Math. Soc. 43(1996), p.863

1. You are no longer in high school. The great majority of you, not having done so already, will have to discard high school notions of teaching and learning and replace them by university-level notions. This may be difficult, but it must happen sooner or later, so sooner is better. Our goal is more than just getting you to reproduce what was told you in the classroom.

2. Expect to have material covered at two to three times the pace of high school. Above that, we aim for greater command of the material, especially the ability to apply what you have learned to new situations (when relevant).

3. Lecture time is at a premium, so it must be used efficiently. You cannot be “taught” everything in the classroom. It is YOUR responsibility to learn the material. Most of this learning must take place outside the classroom. You should be willing to put in two hours outside the classroom for each hour of class.

4. The instructor’s job is primarily to provide a framework, with some of the particulars, to guide you in doing your learning of the concepts and methods that comprise the material of the course. It is not to “program” you with isolated facts and problem types nor to monitor your progress.

5. You are expected to read the textbook for comprehension. It gives the detailed account of the material of the course. It also contains many examples of problems worked out, and these should be used to supplement those you see in the lecture. The textbook is not a novel, so the reading must often be slow-going and careful. However, there is the clear advantage that you can read it at your own pace. Use pencil and paper to work through the material and to fill in omitted steps.

6. (My addition) I want you to enjoy this class, but please respect my right to teach and your classmates’ rights to learn. I would like you to refrain from disruptive behavior (such as unnecessary talking), as well as from reading newspapers and other non-class materials during class. Also, please keep your cell phones turned off during class!!