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Mathematics

NOTE: Not all courses listed are offered each year. Please consult with the Programme Director for more information about current and planned course offerings.

First-Year Programme

Students who seek the intellectual formation or stimulation which mathematics can provide, or who wish to become better acquainted with classicial mathematics, or who intend to pursue certain types of theoretical studies in the social sciences or the humanities, should choose MATH 1013. Students who wish to have sufficient mathematical background to pursue studies in the sciences (such as chemistry, computer science, engineering, forestry, mathematics, physics, or statistics) should choose MATH 1013. Since the usual prerequisites to this course are high school algebra, analytic geometry and some trigonometry, students should have grade 12 mathematics.

MATH 1033 is directed principally to students intending to Major in any of the social sciences,
elementary education, or business administration. Students should have grade 12 mathematics.

MATH 1103 is designed to introduce students to many different branches and topics of mathematics and to make students more mathematically literate. Students wishing to add breadth to their knowledge of mathematics, particularly those whose areas of interest employ a wide range of mathematical methods, should choose MATH 1103.

Courses

1003. Fundamentals of Mathematics
Elementary algebra; exponential, logarithmic, and trigonometric functions; inequalities; binomial theorem; analytic geometry. This course is intended for students whose high school studies in mathematics are insufficient for admission to other mathematics courses. 3 credit hours.

1013. Introduction to Calculus I
A review of analytic geometry and functions; derivatives of algebraic functions; mean value theorem;
fundamental theorem of calculus; applications of differentiation, including extreme values and related rates; integration; differentials. Three hours of lecture and one tutorial per week. Prerequisite: grade 12 mathematics or equivalent. 3 credit hours.

1023. Introduction to Calculus II
Conic sections; transcendental functions and their derivatives; techniques of integration; areas and volumes; Taylor's theorem. Prerequisite: a grade of C or higher in MATH 1013. 3 credit hours. 1033. Finite Mathematics for the Social Sciences Functions, matrices, linear programming, permutations and combinations, probability and statistics, interest and annuities. Prerequisite: Grade 12 mathematics or its equivalent. Three lecture hours and one tutorial hour per week. 3 credit hours.

1103. Introduction to Mathematical Reasoning
This course is a historical survey of most of the major branches of modern mathematics, including
number theory, cryptology, logic, function theory, calculus, geometry, lattice theory, symmetry groups, tiling theory, topology, and knot theory. A recurring theme is the concept of proof and the axiomatic method in mathematics. Students learn how to choose appropriate mathematicalmodels, how mathematicians prove their results, and how a single branch of mathematicscan be applied to problems arising across a spectrum of different fields. 3 credit hours.

2213. Linear Algebra
Matrices and determinants; vectors in R2 and R3; real finite-dimensional vector spaces and linear
transformations; eigenvalues and eigenvectors; complex vector spaces and inner product spaces; unitary and Hermitian matrices. Prerequisite: MATH 1023 or MATH 1033 or consent of the instructor. 3 credit hours.

2513. Introduction to Logic (PHIL 2513)
A lecture course in which students learn how to identify and evaluate arguments drawn from a wide variety of sources. It will develop informal methods such as the identification of argument structure and informal fallacies. It will also develop formal methods that involve taking arguments in English, symbolizing them in a formal language, and evaluating the strengths and weaknesses of the argument's forms. Also covered are basic probability theory, inductive logic, and statistical reasoning. 3 credit hours.

2613. Elementary Differential Equations
This is a study of basic solution techniques and applications of differential equations with attention to concepts and computational efficiency. Topics include equations of the first order and first degree, Bernoulli's equations, orthogonal trajectories, linear differential equations, linear equations with constant coefficients, and nonhomogeneous equations. Prerequisite: a grade of C or higher in MATH 1023. Three hours per week. 3 credit hours.

3913. Statistics with Applications
Descriptive statistics and representation of single-variable data, descriptive analysis and presentation
of bivariate data, probability, probability distributions, sample variability, statistical
inferences, linear correlation, and regression analysis. Prerequisite: MATH 1023. 3 credit hours.

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