ARTS

MATH. 1

Basic Mathematics

This one semester course is designed to facilitate the mathematics requirements of degree candidates who have had very little or no background in mathematics, or who are very weak in the subject. It is not recommended for associate of science students. It has two major emphases: 1) to foster proficiency with number operations and their applications in business mathematics, mensuration, simple statistics, probability, and graph reading, including the inculcation of the concept of proportions and applications in problem solving; 2) to present an overview of the structure of mathematics and its main branches.

MATH. 1

Algebra 1

Prereq.: Form 6 or 7 calculus

A course in traditional number algebra which includes some topics in number theory such as Euclid's Algorithm. Much of the work will devolve around polynomials and polynomial functions, leading up to the Theory of Equations. Exact and approximate solutions to equations will be a large part of the course. Other areas covered include summation of series and the method of differences, the Binomial Theorem, power series and convergence, and determinants. Emphasis is placed on building a theoretic structure of theorems with proofs.

MATH. 1

Calculus 1

Prereq.: Form 6 or 7 calculus

The course covers the principles of calculus: functions, inequalities, limits, continuity, derivatives, and integrals; differential calculus of polynomial and rational functions; anti-derivatives and integrals of polynomial, logarithmic, exponential, and circular functions; calculus in Euclidean geometry; applications.

MATH. 2

Calculus 2

Prereq.: Calculus 1

Improper integrals, l'Hopital's rule; infinite series; conic sections; polar coordinates; vector calculus; 2 and more dimensional derivatives.

MATH. 3

Calculus 3

Prereq.: Calculus 2

Double integrals, triple integrals; line integrals; surface integrals; cylindrical & spherical coordinates; second order differential equations; Green, Gauss and Stokes theorem, Fourier transforms.

MATH. 2

Linear Algebra

Prereq.: Algebra 1

Major topics covered will be matrices, vector spaces, linear mapping, determinants, eigenvalues, eigenvectors, non-singular reduction of quadratic forms; Sylvester's Law of inertia; inner products; orthogonal reduction of real quadratic forms. The approach is systematic, beginning with starting assumptions and building the subject with proven theorems.

MATH. 2

Real Analysis

Prereq.: Algebra 1 or Calculus 1

The course facilitates a rigourous approach to real analysis, especially regarding the use of the Weierstrass E-S definition of limits in the study of real functions. Content includes definitions and properties of the concepts of limits, continuity, differentiation, sequences (with an emphasis on Cauchy sequences and sequences of functions), series (including recourse to Fourier series), and integral calculus (Riemann integral, integrable functions, integration theorems, and improper integrals).

MUS. 1

Music Theory

Introduction to the fundamentals of music, focusing on identifying tones and pitches, as well as their rhythm and duration; bass and treble clefs, scales, intervals, key signatures, and harmonic analysis. Using these musical building blocks, students will develop practical skills in keyboard, ear and sight training, voice leading, and harmony construction.

MUS. 2

Music History

Form, style, and rhythmic analysis. Ars antiqua-baroque; rococo; classical early romantic; late romantic; impressionism; expressionism; contemporary; composer assessment.

PHIL. 1

Introduction to Philosophy

An introduction by way of major philosophical problems: knowledge and scepticism; free will vs. determinism; the mind-body problem; good vs. evil. The course is prefaced by an introduction to basic logic and fundamental philosophical concepts.

PHIL. 2

Pre-Socratic Philosophy

Prereq.: Phil 1

The Milesian substantialists: Thales, Anaximander, Anaximenes, Xenophanes' reaction, Pythagoras, Herakleitos, Parmenides, Zeno. The pluralists: Empedocles, Anaxagoras, Leukippos (Demokritos).

PHIL. 3

Philosophy of Law & Jurisprudence

Prereq.: Phil 1

A survey of legal thought beginning with the ancient Mesopotamian codes, Mosaic commandments, and classical theorists and reformers, including Plato, Cicero, and the Byzantine emperor Justinian. It next considers the medieval dispute between natural and positive law. It concludes with a review of modern democratic development, including social contract theory, Montesquieu's sociology, Mill's minority rights, analytical positivism, and the work of Holmes, Kelsen, Austin, Hart, Fuller, etc. Emphasis is placed on interpretation, punishment, justice, and the nature and limits of law.

T.S. 1

Theatrical studies

New course