Syllabus - PDF
Required Text: A First Course in Differential Equations for Scientists and Engineers, R. Herman, 2018.
In this course we will investigate analytical, graphical, and approximate solutions of differential equations. We will study the theory, methods of solution and applications of ordinary differential equations. This will include common methods of finding solutions, such as using Laplace transform and power series methods.
You should also be prepared to review your calculus, especially if you have been away from it for a while. In particular, you should know how to differentiate and integrate all elementary functions, including hyperbolic functions. You should review your methods of integration as the need arises, including methods of substitution and integration by parts. For the most part, you will just need material from Calculus I and II. See the appendix of the text.
Student Learning Outcomes
Upon successful completion of this course, students will be able to:
You have just come out of calculus knowing about derivatives and integrals. Hopefully, you have even seen some applications of calculus in your study. You are now about to embark on what you may think is an entirely different subject - differential equations - however, it is not different. In some cases, this is why calculus was
developed. This might be why your department requires you to take so much
mathematics. In fact, you have already seen some of the basic methods of solutions of differential equations in your second course in calculus.
You will be guided through various analytical, graphical, numerical and descriptive methods of studying differential equations. We will see that differential equations are a natural tool for numerous investigations in science, mathematics and engineering. We will use technology to explore and visualize solutions behaviors and solution methods. In this way we hope that we can learn to think, experiment and comprehend the role that this subject plays in your chosen majors. Further applications will be found on the course webpage.
In this course you may be doing a group project. You will be working with other students to complete a task. For many of you group work will be a new experience. In order to make this experience both productive and enjoyable, we offer the following suggestions:
This syllabus as well as a variety of other relevant
information for this class is posted on the internet. The website is located
You are encouraged to log onto this page often to check the homework assignments, read text material, listen to videos and read about related topics and further examples. You can email me for hints to homework questions, after working on them, or any other concerns with the topics we are covering.
You will need to continually watch for additions, changes, and announcements for the class. So, make it a daily habit to go to the web site and read something different.
Homework: Homework assignments will be collected on a regular basis and you will be told when the work is due. There will be a penalty of 10% for each class that it is late. As doing homework is very important for learning the material in this course, it will count as 35% of your grade.
Exams and Grades: There will be three one hour exams and a final for this course. These exams will cover the basic material from the lectures and homework. There will be no makeup exams without prior permission. The tentative dates of the exams covered are
Your final grade will be based on the following:
Borderline grades may be modified by a plus, or a minus,
In order to learn the material in this course and earn a good grade, you need to put in some effort. Do not put off assignments or reading. If you do not understand something, ask the instructor. Come to office hours, use email, ask knowledgeable students, or go to the library/internet and find supplementary material. The instructor can only cover the basics in class. You are not expected to know the material by only listening to the lectures. You need to work problems and think about what you are doing. As we meet for eight hours each week, you should expect to spend at least 16 hours per week outside of class. Note that each class is the equivalent of 2/3 a regular semester week and you need to keep up with doing homework every day.
This syllabus is subject to change!
Student Disabilities:UNCW Disability Services supplies information about disability law, documentation procedures and accommodations that can be found at http://uncw.edu/disability/. To obtain accommodations the student should first contact Disability Services and present their documentation to the coordinator for review and verification.
Campus Respect Compact. UNCW has recently instituted a Respect Compact to affirm our commitment to a civil community, characterized by mutual respect. That Compact will soon be affixed to the wall of each classroom and can be accessed at: http://uncw.edu/diversity/documents/ApprovedSeahawkRespectCompact8x10.08.09.pdf
|E-Mail: Dr. Russell Herman||Last Updated: June 04, 2018|