Mathematics: Adv Engineering Mathematics

Differential equations, Laplace transforms, and systems of differential equations; brief introduction to Fourier series. Examples from engineering and physical sciences. Credit not granted for both MATH 3230 and MATH 3201. No credit for Mathematics majors. Prerequisite: MATH 2248. Co-requisites: Preferred: MATH 2522 or MATH 2544; or MATH 2500.

Prereqs enforced by the system: MATH 2248; Open to Degree and PACE students

Textbook: Advanced Engineering Mathematics, Zill D.G. 7th Edition, with WebAssign Course Outline and Learning Objectives This is a course on Advanced Engineering Mathematics, and it is in three parts. The first part will cover Ordinary Differential Equations. The second (review) part will focus on Matrices, and the third part will cover Systems of Differential Equations. It is assumed that students have studied undergraduate calculus, some linear algebra (or, at least, heard about it). More specifically, a selection of topics from the following areas will be studied: Chapter 1 Introduction to Differential Equations Chapter 2 First-Order Differential Equations Chapter 3 Higher-Order Differential Equations Chapter 4 The Laplace Transform Chapter 8 Matrices Chapter 10 Systems of Linear Differential Equations Review and Exams The purpose of our class meetings is to help you obtain the core material that will allow you to learn through your own work outside the classroom. Therefore, an essential part of your positive learning process is to look for additional information from the library, internet, and other sources, namely, my office hours. Upon successful completion of the course, students will be able to: Solve differential equations of first order using analytical and numerical methods, Solve and apply linear differential equations of second (and higher) order to real world problems, Solve linear differential equations using the Laplace transform technique, Solve systems of differential equations, and Develop the ability to apply differential equations to significant applied and/or theoretical problems. Communication: I will be using UVM email and Brightspace (Bs) announcements (which are automatically sent to your UVM email) as the primary means of communication outside of class. Please check these areas frequently. Be sure to include your course (Math 3201A) in the subject line and be specific with your question (e.g., which homework, which problem number, attach a pdf of any handwritten work and things you’ve tried so far).

Quizzes: Quizzes will be given in class and through WebAssign at the end of some sections. The use of a calculator is not permitted during a quiz. The quizzes will be similar to the examples and homework problems in the textbook. Exams: There will be three exams. The use of a calculator is not permitted during any of these exams.