Mechanical Engineering: Adv Engineering Analysis I

Analytical methods for the solution of partial differential equations in engineering mechanics and physics, including: eigenfunction expansions; Fourier series; Sturm-Liouville theory and special functions. Prerequisite: Graduate student in engineering, mathematics, or physical sciences or Instructor permission.

Prereq: Graduate standing in Engineering, Mathematics, Physical Science, or with instructor permission; Open to Degree and PACE students

https://aisweb1.uvm.edu/pls/owa_prod/bwckctlg.p_display_courses?term_in=202409&one_subj=ME&sel_crse_

SYLLABUS Course: ME 5040 (90567) - Advanced Engineering Analysis I Credits: 3 Meeting Time and Place: FALL 2024, TTh 4:25-5:40 pm ME 5040 Adv Engineering Analysis I 90567 1 LEC A 3.00 25 0 25 04:25 05:40 T R Huston D Instructor: D. Huston, 201E Votey, 656-1922, dryver.huston@uvm.edu, office hours MW 4:00 – 5:00 pm or by appointment Pre-requisites or co-requisites: Graduate standing in engineering or physical science Course Description: • Purpose: to cover essentials of engineering analysis at a graduate level in one semester. • Topics covered: o Real analysis – Chapters 1-4 o Fourier, Laplace and related transforms – Chapters 5, 6 o Complex variables – Chapters 11-15 o Linear analysis – Chapters 17-20 o Ordinary differential equations – Chapters 21-23 o Partial Differential Equations – Chapters 26-28 • How the course topics relate to each other: The knowledge accumulation is linear. Most of the later topics require understanding of the previous topics. • Course structure: primarily lectures with occasional review sessions; students attend classes, complete weekly homework assignments, midterm tests, final exam and term paper. Course Learning Objectives: Students who successfully complete this course will have a working knowledge of the covered topics and a facile ability to learn more advanced topics in engineering analysis. Required and Optional Course Materials: Text (Required): Foundations of Applied Mathematics, M. Greenberg, Dover, ISBN 978-0-486-49279-7, or Prentice-Hall, ISBN 0-13-329623-7 Supplemental Texts (Optional): Schaum's Outline of Advanced Mathematics for Engineers and Scientists 1st Edition, by Murray R. Spiegel, ISBN:0071635400 Schaum's Outline of Advanced Calculus, 3rd Edition, by Robert C. Wrede, Murray R. Spiegel ISBN-13: 978-0071623667 Mathematics for the Physical Sciences, by Herbert S. Wilf, Dover, 1962 – posted online Teams and Brightspace: Teams and/or Brightspace will contain postings of course announcements, lecture notes, homework solutions, test solutions and related content. Attendance Policy and Classroom Environment Expectations: Students are expected to attend every class and to come prepared to understand the upcoming material.

In keeping with University policy, any student with a documented disability interested in utilizing accommodations should contact SAS, the office of Disability Services on campus. SAS works with students and faculty in an interactive process to explore reasonable and appropriate accommodations, which are communicated to faculty in an accommodation letter. All students are strongly encouraged to meet with their faculty to discuss the accommodations they plan to use in each course. A student's accommodation letter lists those accommodations that will not be implemented until the student meets with their faculty to create a plan. Contact SAS: A170 Living/Learning Center; 802-656-7753; access@uvm.edu www.uvm.edu/access University Policies and Values: This course follows and adheres to all University policies and values. Details are posted at: https://www.uvm.edu/ctl/designing-and-teaching-courses/syllabus-resources/syllabus-policies-and-values/ The Green and Gold Promise clearly articulates the expectations that UVM has for students, faculty, and staff to remain compliant with all COVID-19 recommendations from the federal CDC, the State of Vermont, and the City of Burlington. This include following all rules regarding facial coverings and social distancing when attending class. If you do not follow these guidelines, I will ask you to leave the class. If you forget your mask, you cannot enter the class and should go back and retrieve your mask. The Code of Student Conduct outlines policies related to violations of the Green and Gold Promise. Sanctions for violations include fines, educational sanctions, parent notification, probation, and suspension

Grading Criteria/Policies: • Administration: Homework 10%, midterm exams 30%, final exam 30%, and term paper 30%. • Late coursework submission policy: 10% reduction in grade per day late. Assessments (Graded Work): • Midterm and final exams are closed book and in-class. No electronic devices permitted, except simple calculators. One 8.5 x 11 in2 sheet of prepared notes allowed. • Term paper is a minimum length of 20 pages on a topic relevant to this course. The topic must be approved by the instructor. Term paper is due the last day of classes this semester at 11:59 pm. • This is a 5000-level course. Course Evaluation: All students will be asked to complete an anonymous and confidential evaluation of the course at its conclusion. The information will be considered in the continued efforts to improve the course.