MATH 115 Methods of Analysis
Course Description: Mathematics provides valuable tools for the study of physical phenomena describing our world. This course explores various mathematical concepts and methods that form the cornerstone of modern Physics.Goal: Upon completion of the course, the student will be able to define complex functions, Fourier analysis, Laplace's equations, Bessel and Legendre functions, Sturm-Liouville theory and use them to solve problems in Physics and engineering.
Course meeting time: MF 10:30-11:45am @ Science Center 411
Tentative Schedule
Contact information: Man Wai (Mandy) Cheung
Office hour: Tue 12:30-2:30pm (tentative)
Send me an email to schedule a chat if you cannot make these office hours.
Website: https://canvas.harvard.edu/courses/45164
Textbook: K. T. Tang, Mathematical Methods for Engineers and Scientists 1,2,3, Springer
Course Assistant: Shyam Narayanan
Math night: Monday 8-10pm @ Leverett House
Homework: There will be a homework assignment each week, which will be due on the Wednesday (before 5pm) of the subsequent week. Late homework is accepted only with my approval.
The worst homework grade can be dropped if the student attempt to answer 7 questions in the class.
Final:
1. (10%) a 1-3 pages report of how you can apply the materials in the class to other classes or to the world. (Due on Dec 14 before 5pm) Email your report to mwcheung@math.harvard.edu in a single pdf file.
2. (30%) a 20-22 mins presentation on Dec 11, 9:30-1 at room SC 530. You can cover any topics as long as it is related to this class.
Grading: The final grade in the course will be based on the homework grades (30%), a midterm take-home writing project/exam (30%) and a final take-home writing project/ exam / presentation (40%). The midterm take-home will be handed some time around the 7th week of the term. The take-home final project/exam will be handed out at the end of the term.