This course concentrates on developing mastery of pre-calculus and introductory calculus skills and techniques. Pre-calculus topics include: solving...
Review of algebra and trigonometry. Differential calculus of the algebraic, exponential, logarithmic, trigonometric and inverse trigonometric...
Limits and continuity; differential and integral calculus of functions of a single variable; the Mean Value Theorem; determination of extrema; the...
Applications of integration; polar coordinates and parametric equations; infinite sequences and series; applications of partial derivatives. ...
A thorough introduction to limits of functions. Continuity and its consequences. Rational, algebraic and transcendental functions and geometric...
An introduction to proofs and to mathematical writing. Methods of proof, such as direct proofs, proofs by contradiction, contrapositive proofs,...
Systems of linear equations; algebra of complex numbers; algebra of matrices with real and complex entries; determinants and their applications;...
Differential calculus of the algebraic, exponential and logarithmic functions of a single variable; introduction to integral calculus; introduction to...
Numerical and graphical methods of descriptive statistics; basic probability; introduction to discrete and continuous random variables; sampling...
An introduction to the theory of interest. Mathematical models and their analysis for problems involving fixed interest rates. Simple and...
Vector functions; differential and integral calculus of functions of several variables, including vector fields; line and surface integrals including...
First order differential equations; linear differential equations of second and higher order; methods of undetermined coefficients and variation of...
Equivalence relations and partitions; countable and uncountable sets; ordered sets; development of number systems. Prerequisites MA121.
Elements of Euclidean geometry emphasizing the axiomatic approach; geometric shapes and measurements; Euler line and nine point circle; straightedge...
Vector spaces; linear transformations; diagonalizability; applications. Prerequisites MA121, MA122. Notes 3 lecture hours
A comprehensive study of techniques in mathematical problem solving, including topics from classical and contemporary mathematics. Examples will be...
An introduction to game-theoretic methods and their applications. Topics include the preference relation and von Neumann-Morgenstern utility,...
Basic graph theory, Euler circuits and Hamilton cycles in graphs, planar graphs, graph colouring, trees, relations, partial orders, introduction to...
Data collection and description including univariate and bivariate frequency tables, histograms and summary statistics; elementary probability theory;...