# Intermediate and Advanced Courses

## Intermediate and Advanced Courses

Most courses in the department fall into one or more of the following categories. Please choose the appropriate category and then the appropriate course, where you will find some or all of the following

- the brief course description in the UD catalog
- a detailed syllabus approved by the Undergraduate Committee
- materials useful for the course for the instructor and the student

Math 210: Discrete Mathematics

For Math, Science, and Engineering majors.

Math 230: Finite Mathematics with Applications

For Business majors.

Math 245: An Introduction to Proof

Preparation for Math 401 and Math 451.

Math 315: Discrete Mathematics II

First undergraduate course in Abstract Algebra.

Math 549: Coding Theory and Cryptography

A course for math majors and non-math majors because of few prerequisites.

A graduate course in Algebra for which Math 672 is a prerequisite. Mathematically mature and talented math majors may consider taking this course.

A graduate course that mathematically mature and talented math majors may consider taking.

Math 688: Combinatorics and Graph Theory I

A graduate course that mathematically mature and talented math majors may consider taking.

Math 401: Introduction to Real Analysis

The first undergraduate course in Real Analysis.

Math 600: Fundamentals of Real Analysis

A graduate course which mathematically mature and talented math majors may consider taking.

Math 602: Measure, Integration, and Complex Variables

A continuation of Math 600.

Math 241, Math 242, Math 243**: **Analytic Geometry and Calculus A, B, C

The three semester calculus sequence for most of the majors in Math, Science, and Engineering.

Math 221, Math 222:** **Calculus I, II

The two semester calculus sequence for students in the social sciences and in the college of Business and Economics.

Math 352: Engineering Mathematics II

Second course in a sequence on Linear Algebra, Differential Equations, and Vector Calculus for engineering majors, physics majors, etc.

Math 503: Advanced Calculus and Nonlinear Dynamics

Calculus and ODEs beyond what is done in Math 241-243, Math 302, Math 351, 352.

Math 460: Introduction to Systems Biology

For majors in Biomedical Engineering.

Math 512: Contemporary Applications in Mathematics

One of the capstone courses.

Math 530: Applications of Mathematics in Economics

A capstone course for the Actuarial Sciences and Math and Economics majors.

Math 616: Modeling in Applied Mathematics

A graduate course which mathematically mature and talented math majors may consider taking.

Math 617: Techniques of Applied Mathematics

A graduate course which mathematically mature and talented math majors may consider taking.

Math 302: Ordinary Differential Equations

Math 305: Applied Mathematics for Biomed, Chemical, and Biomolecular engineers

Math 349: Elementary Linear Algebra

First course in Linear Algebra.

Math 342: Differential Equations with Linear Algebra II

A continuation of Math 351 for EE majors.

Math 351: Engineering Mathematics I

Linear Algebra and Differential Equations for the non-math majors.

Math 352: Engineering Mathematics II

Ordinary and Partial Differential equations; Vector Calculus. For non-math majors.

Math 535: Introduction to Partial Differential Equations

An undergraduate introduction to PDEs.

Math 279, Math 379**: **Teaching and Learning Secondary Mathematics I

Math 380: Approaches to Teaching Mathematics

Math 382: Student Teaching Seminar in Secondary Math

Math 518: Mathematical Models and Applications

For Secondary Math Education majors.

Math 540: College Geometry; A Historical Approach

For Secondary Math Education majors.

Math 353: Engineering Mathematics III

Numerical methods for Mechanical, Civil, and Environmental Engineering majors.

Math 426: Computational Mathematics I

An undergraduate course on numerical methods.

Math 428: Computational Mathematics II

A continuation of Math 426 and Math 353.

Math 529: Fundamentals of Optimization

Math 611: Introduction to Numerical Discretization

A graduate course which may be considered by undergraduates skilled in computational mathematics.

Math 612: Computational Methods for Equation Solving and Function Minimization

A graduate course which may be considered by undergraduates skilled in computational mathematics.

Math 201, Math 202**: **Introduction to Statistical Methods I, II

A two semester sequence for students NOT majoring in Science, Math, or Engineering.

Mostly taken by engineering majors.

Math 350: Probability Theory and Simulation Methods

Calculus based; this is what math majors take.

Math 450: Mathematical Statistics

Requires Math 350 or an equivalent course. This is what math majors take.

Math 630: Probability Theory and Applications

Does not use measure theory. A graduate course which mathematically mature and talented math majors may consider taking.

Math 631: Introduction to Stochastic Processes

Does not use measure theory. A graduate course which mathematically mature and talented math majors may consider taking.