Summer 2018

## Real Analysis for Engineers

Special topics course offered in Summer 2018 by Christopher Heil and Shahaf Nitzan on "Real Analysis for Engineers".

This course can be taken in place of MATH 6337, Real Analysis, to satisfy the prerequisite for MATH 6241, Probability I.

This course cannot be used for credit at the same time as MATH 6337.

## Probability and Statistics with Applications

Introduction to probability, probability distributions, point estimation, confidence intervals, hypothesis testing, linear regression and analysis of variance.

## Introduction to Discrete Mathematics

Mathematical logic and proof, mathematical induction, counting methods, recurrence relations, algorithms and complexity, graph theory and graph algorithms.

## Topics in Linear Algebra

Linear algebra in R^n, standard Euclidean inner product in R^n, general linear spaces, general inner product spaces, least squares, determinants, eigenvalues and eigenvectors, symmetric matrices.

## Classical Mathematical Methods in Engineering

Fourier series, Fourier integrals, boundary value problems for partial differential equations, eigenvalue problems

## Introduction to Probability and Statistics

This course is a problem oriented introduction to the basic concepts of probability and statistics, providing a foundation for applications and further study.

## Applied Combinatorics

Elementary combinatorial techniques used in discrete problem solving: counting methods, solving linear recurrences, graph and network models, related algorithms, and combinatorial designs.

## Mathematics Written Comps Preparatory Class

Pass/Fail only. A course for graduate students in Mathematics to help prepare for the written comprehensive exams in Algebra and Analysis. Offered Summer 2017.

In 2017, the course was split into two sections: MATH 8802 ALG and MATH 8802 ANA.

## Math Methods of Applied Sciences I

Review of linear algebra and ordinary differential equations, brief introduction to functions of a complex variable.

## Introduction to Hilbert Spaces

Geometry, convergence, and structure of linear operators in infinite dimensional spaces. Applications to science and engineering, including integral equations and ordinary and partial differential equations.