# Computational Mathematics

### Why York?

If you are interested in Mathematics and its applications in several different sciences, computational mathematics may be a good choice of study for you. By combining courses in Applied Mathematics and Computer Science, students in Computational Mathematics examine the full process of applying mathematics in an increasingly interdisciplinary career world. This process begins with the creation of a mathematical model related to a problem. Next, an algorithm or precise set of steps will be developed to reach a solution. The whole process is usually implemented using a computer.

This program offers a strong focus on the modelling portion of problems that require computational and mathematical methods. Students in the program learn how mathematical models are used to simulate a diverse set of real world events such as controlling heat flow in manufacturing processes, pricing stock options, processing medical images and studying genome mapping. Upon graduation, you can use your mathematical, computing, and problem-solving skills to work in a variety of fields for computer software companies, banks, insurance companies, government, research labs, and industry. You can also choose to continue your post-graduate studies in applied mathematics, statistics, business, biology, medicine, physics, engineering and education.

### Program Overview

Your first-year courses will help you develop a strong foundation in mathematics and programming. In year two, you will begin taking courses in one of two areas of concentration: Applied & Industrial Mathematics or Financial Mathematics.

In your third and fourth year, your courses will focus on discrete, continuous and probabilistic modelling using case studies of real world problems from industry, finance and the life and physical sciences. Additional courses will strengthen your understanding and knowledge of your selected area of concentration.

Applied & Industrial Mathematics

Applied & Industrial Mathematics involves the modern and traditional relationship of math to science and engineering. This area will allow you to examine the variety of applications of computers and mathematics to real world needs. Courses include advanced study in symbolic computation and numerical methods. Mathematical modelling and computation are vital tools in many aspects of industrial research and development, including manufacturing design, process control, product testing, environmental assessment, controlling the spread of infectious disease and other biomedical applications, and signal and image processing.

Financial Mathematics

Many mathematical challenges arise in the financial industry. How can you assess the relative merits of different investment strategies? How does a business determine the best way to allocate its resources? What is the right price for a stock option?

The Financial Mathematics concentration area prepares you to face these challenges. The program is geared to the needs of financial and banking sectors and will prepare you for a variety of positions by focusing on mathematics, computers and economics. In this area of concentration, you will take courses such as Micro- and Macroeconomics, Mathematical Theory of Interest, and Operations Research and Scientific Computation for Finance Applications.

### Facilities and Opportunities

To help you succeed as a Computational Mathematics student, you will have access to an academic support system that includes the Math and Statistics Tutorial Labs, the Peer Study Group program and academic advisors who will ensure you are taking the courses you will need to meet your academic, personal and career goals.

Graduates of this program will be prepared to enter the workforce in a variety of skilled careers and leadership roles in finance, industry or business. Your choice of Applied & Industrial Mathematics or Financial Mathematics will determine the field best suited to you.

You can find more information at the Future Students link of the Mathematics & Statistics website math.yorku.ca.

### Course Options

**If you major in Computational Mathematics your courses in first year will probably be:**

• Calculus

• Statistics

• Problems, Conjectures, and Proofs

• Computer Science

• one of Biology, Chemistry, Physics, or Earth & Atmospheric Science

• a general education course

**Beginning of second year, you will specialize in one of the following areas:**

• Applied & Industrial Mathematics

• Financial Mathematics

**Applied and Industrial Mathematics**

**In second year you will probably take:**

• Differential Equations

• Statistics II

• Symbolic Computation Laboratory

• Linear Algebra

• Elementary Probability

• Calculus of Several Variables

• Software Tools

• one of Biology, Chemistry, Physics, or Earth & Atmospheric Science

**Courses you might take in upper years include:**

• Numerical Methods

• Computational Mathematics

• Mathematical Modelling

• Differential Equations

• Partial Differential Equations

• Numerical Analysis

• Operations Research

• Financial Mathematics

**In second year you will probably take:**

• Microeconomics

• Macroeconomics

• Differential Equations

• Statistics II

• Mathematical Theory of Interest

• Symbolic Computation Laboratory

• Linear Algebra

• Elementary Probability

• Calculus of Several Variables

• Software Tools

• one of Biology, Chemistry, Physics, or Earth & Atmospheric Science

**Courses you might take in upper years include:**

• Operations Research

• Computational Mathematics

• Financial Mathematics

• Stochastic Processes

• Mathematical Modelling

• Scientific Computation for Finance Applications

• Numerical methods

• Partial Differential Equations

• Regression Analysis

• Probability Models

### Career Options

**Career options for Computational Mathematics majors include:**

• Accountant/Financial Advisor/Financial Analyst

• Data Analyst

• Demographer

• Operations Research and Optimization

• Computer Programmer/Systems Analyst

• Biomedical Engineer

• Industrial and Scientific Research

• Education – elementary, high school, college, university

• Post Graduate Studies/Academic Career