Detailed Syllabus:.

Complex Analysis I: Introduction to complex analysis: analytic functions. Linear algebra I: Advanced eigenvalues and eigenvectors.

## Volume 1872: Mathematical Methods and Computational Techniques in Science and Engineering

Linear algebra II: Numerical methods. Asymptotic expansion of sums and integrals I: elementary methods. Asymptotic expansion of sums and integrals II: steepest descents. Perturbation methods.

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Boundary layer theory. WKB theory. Vector fieldsStokes theorem.

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Green's functions. Course Type:. Text Book:. Reference Book:.

I'll try to restrict lecturing to hitting the highlights of your reading assignments and to "big picture" ideas. For that reason, it will be very important for you to stay on top of the reading.

Most of the class time will be devoted to working through problems. Homework assignments will be given roughly twice per week, with most problems taken from the textbook. Homework is due at pm at the start of class. There will be two 3-hour take-home midterm exams and one 3-hour take-home final exam.

The final exam will be cumulative, but will emphasize the material in the last third of the course.

## Mathematical Methods in Science and Engineering

The first exam will be distributed on Monday 26 September and due in class on Monday 3 October The second exam will be distributed on Monday 7 November and due in class on Monday 14 November In the event that you are on the border between two grades, good class participation and other indications of effort throughout the course will help to justify the higher grade. I hope that there will be much discussion both inside and outside of class.

You are allowed and encouraged! The solutions you submit must of course be prepared yourself and not be reproductions of other people's work.

## MATH0012 Mathematical Methods for Arts and Sciences

Students who think they may need accommodations in this course because of the impact of a learning, physical, or psychological disability are encouraged to meet with me privately early in the semester to discuss their concerns. Students should also contact Deborah Alder, Coordinator of Access Services or dalder brynmawr. Early contact will help to avoid unnecessary inconvenience and delays.