# Mathematics

Mathematics is one of the oldest sciences. Although math has many applications in virtually all industries, the answers to the questions that math asks will deepen our understanding of, and reveal new insights into, mathematics itself. The inherent structure and elegance of mathematics are features of the subject that are difficult to surpass in other sciences.

Mathematics also differs from other disciplines in that it advances by applying pure reason (by way of the human mind) rather than observation (by way of scientific instrumentation). As a result, mathematics builds upon its past achievements and develops independently of technological advancements.

At the U of R, you can take one of four bachelor’s degree programs in mathematics:

### Bachelor of Science in Mathematics

In this program, you will learn to be proficient in the uses of mathematics, especially calculus, matrix algebra, and differential equations. You will also be exposed to statistics, computer science, and higher level mathematical reasoning in the form of mathematical proof. Courses include number theory, abstract algebra, and optimization.

### Bachelor of Science Honours in Mathematics

In the honours program, you will learn to be proficient in high level abstract mathematical reasoning. The honours program is excellent preparation for graduate studies and many University of Regina graduates from the program go on to earn a Master of Science and Doctoral Degree at top universities in North America.

### Bachelor of Science in Applied Mathematics and Statistics

Graduates of this program will be proficient in the uses of mathematics, especially calculus, matrix algebra, differential equations, probability, and statistics. Students will also be exposed to computer science and higher level mathematical reasoning in the form of mathematical proof.

### Bachelor of Science in Computer Science and Mathematics (combined major)

This program is designed for students who are interested in computation or theoretical computer science.

## What Are Mathematics and Applied Mathematics?

### Mathematics

Mathematics is the science that deals with the logic of shape, quantity, and arrangement. It is the building block for nearly everything in our daily lives, including smartphones, computers, software, architecture (ancient and modern), art, money, engineering, travel, and sports.

The main branches of pure mathematics are:

- Algebra (the study of arithmetical systems of various types)
- Analysis (the study of the continuum and the mathematics of change)
- Combinatorics (the mathematics of counting)
- Probability (the mathematics of random phenomena)
- Topology (the study of geometrical objects and their deformations)

### Applied Mathematics and Statistics

Applied mathematics refers to any discipline in which the development of mathematical tools is the main objective. Some examples include:

- Studying how blood flows through the cardiovascular system
- Number-theoretic encryption for secure internet commerce
- Developing models for understanding the folding process in proteins

Applied mathematics also involves a strong knowledge of statistical science, which is fundamental to analyzing and interpreting data. Projects could include the following:

- Classify customers based on spending behaviour (e.g., the number of shops to use, the average time to spend in a shop, the average amount to spend, etc.)
- Predict whether someone will have a certain type of cancer on the basis of demographic, diet, and clinical measurements
- Identify the economic impact of epidemic animal diseases, and their control programs

Some course offerings in mathematics at the U of R include:

### Complex Analysis I

This course explores complex numbers, analytic functions, contour integration, Cauchy's theorem, infinite series, calculus of residues, and basic theory of conformal mappings.

### Euclidean Geometry

This course is intended to familiarize students with Euclidean geometry. Topics include the postulates and theorems of both classical and modern Euclidean geometry.

### Introduction to Mathematical Logic

This course looks at propositional and first-order predicate logic from a mathematical viewpoint. Topics include axiomatically built theories and their models, and recursive functions. Also includes a detailed study of one or more simple mathematical theories, and basic ideas of automated theorem proving.

### Introduction to Quantum Information Theory

This course is in the mathematics of quantum information theory. Topics include information measures, quantum states and observables, qubits, entanglement, quantum channels, entropy, and measurements.

## Mathematics Meet your faculty

### Quick Facts

#### Connect with us

## Why Study Mathematics at the University of Regina?

Our programs play a fundamental role in the development of analytical and critical thinking, quantitative reasoning, problem solving, and the ability to understand and manipulate complex data and ideas.

Our professors hold 13 NSERC Discovery Grants, which makes the department one of the most successful of the University's academic units in national tri-council funding competitions.

The University of Regina is a full member of the Pacific Institute for the Mathematical Sciences (PIMS).

### Co-op education program

Apply your knowledge in a real world setting. Co-op work terms provide you with career-related work experience, job search skills, and a higher chance of obtaining full-time employment upon graduation.

### Expert professors and instructors

Mathematics and Statistics faculty members are active scholars whose research occupies a significant portion of their academic work. By engaging in research, faculty members remain at the forefront of knowledge, passing that knowledge on to their students.

Learn from expert faculty members whose research interests include:

- Group and representation theory
- Operator algebras
- Quantum probability and quantum information theory
- Topology and symplectic geometry
- Matrix theory and combinatorial matrix analysis
- Discrete mathematics

### Student job opportunities

The Department of Mathematics and Statistics offers job opportunities for students as teaching assistants (markers, laboratory instructors, tutors) and research assistants.

### MASS (Math Actuarial-Statistics Student Society)

MASS is a society that is open to all students interested in Math, Statistics, and Actuarial Science. Members organize functions not only for MASS students, but also for the general student body. These range from tutorial sessions for any students taking Math, Statistics, or Actuarial Science courses, to events to celebrate Pi Day (March 14), to collaborating with other student groups on science-themed events.

## Mathematics Frequently Asked Questions

The honours program has higher academic requirements. To graduate with a Bachelor of Science Honours degree, you must have an overall average of at least 70 per cent, and an average of least 75 per cent in math and statistics courses and other required science courses.

If you are interested in the honours program, you must get permission from the math and statistics department and plan to enter before the start of your fourth year of studies.

Yes! You can transfer from another U of R program, or from other college and university programs, as long as you meet the admission requirements for the Faculty of Science.

Yes! We offer the following scholarships to undergraduate math and statistics students:

- H.J. Promhouse Entrance Scholarship in Mathematics
- Kornelius G. Toews Scholarship
- James B. Carefoot Memorial Scholarship
- Joan & Norman Beirnes Scholarship

Use our online Student Awards Management System (SAMS) to find other awards and scholarships for which you may be eligible.

### Mathematics Programs Concepts and Goals

U of R math majors have gone on to work in positions including portfolio development analyst, tax manager, actuary, data analyst, quantitative analyst, university professor, and more.

#### Study

In mathematics, your studies will focus on calculus, matrix algebra and differential equations, and developing high level reasoning.

#### Get experience

Co-op work terms provide you with practical, hands-on learning experience in your field and help you develop professional competency skills.

#### Get jobs

Math has applications in virtually all industries. Our graduates have worked for a wide variety of employers, from banks and pension companies, to brokerages and chartered accounting firms.

## What Can You Do With a Mathematics Degree?

Upon successfully completing your bachelor’s program in mathematics, you will be ready for the next step of your career. Some of our students go on to graduate studies

To explore minors that may be available in this program area, please visit the Academic Calendar or meet with your faculty advisor in the Academic Advising Office after you are admitted.

- Account Manager
- Applied Mathematician (various fields including: finance, health, marketing, manufacturing, mining, science)
- Cryptologist
- Data Analyst
- Financial Analyst
- Market Analyst (e.g., advertising, oil, hospitality)
- Retail Buyer
- Curriculum Developer