MATH-UA 252 – Numerical Analysis

MATH-UA 252 – Numerical Analysis
Syllabus

Logistics

Text: Chartier, T. P. and Greenbaum, A. “Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms” (2012)

PDF available for free via the NYU Library

Grading: Homework (15%), Midterm 1 (25%), Midterm 2 (25%), Final exam (35%)

DO NOT BOOK TRAVEL FOR BEFORE THE FINAL EXAM DATE!!!

Course Description

An introduction to numerical analysis (the algorithms of continuous mathematics). We will cover classical and modern topics, including Monte Carlo methods, the solution of linear and nonlinear equations, floating point arithmetic and roundoff error, conditioning, interpolation, quadrature, numerical differentiation, numerical methods for ordinary differential equations, and the computation of eigenvalues.

The course will cover the analysis of numerical methods, but the homeworks will also have an implementation component.

Course Prerequisite

MATH-UA 123 Calculus III or MATH-UA 213 Math for Economics III (for Economics majors) with a grade of C or better and/or the equivalent, and MATH-UA 140 Linear Algebra or MATH-UA 148 Honors Linear Algebra with a grade of B or better.

Exam policy

No notes, calculators, phones, etc. are allowed during exams.

Homework policy

Homework will be assigned weekly via Brightspace. Completed assignments will be uploaded in pdf form only to Gradescope. Programming assignments must be written in Python.

Late homework will not be accepted, but the two lowest homeworks will be dropped.

You may discuss with other students with the following restrictions:

• You must make an honest attempt at homework problems before discussing them with anyone else.

• You must do the final write-up independently in your own words

• You may compare final answers with others to check for mistakes.

• If you receive substantial help on a problem, you must acknowledge it. This will not result in any penalty.

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