# Mathematics

Mathematics is one of the oldest of sciences. Although there are many applications of mathematics, the questions that the subject of mathematics seeks to resolve are questions whose answers 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 fields. Mathematics further differs from other disciplines in that its advances come through the application of pure reason (via the human mind) rather than through observation (via scientific instrumentation). Consequently, mathematics builds upon its past achievements and develops independently of technological advancements.

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), and topology (the study of geometrical objects and their deformations).

Students who graduate from the BSc program will be proficient in the uses of mathematics, especially with calculus, matrix algebra, and differential equations. These graduates will also have been exposed to some statistics, computer science, and higher level mathematical reasoning in the form of mathematical proof. Courses in number theory, abstract algebra, and optimization can be taken as part of the BSc program, and there are options that allow for a combined major in mathematics and computer science and for a combined major in mathematics and statistics.

Students who graduate from the BSc Honours program will be proficient in high-level abstract mathematical reasoning. The BSc Honours program is excellent preparation for graduate studies and many University of Regina graduates from the program go on to earn MSc and PhD degrees at top universities throughout North America.