Topics include polynomial arithmetic, synthetic division, zeros of polynomials, systems of linear equations, matrices and matrix multiplication. This course prepares students to take MATH1400 and MATH2510. Students need to verify they have the prerequisites the first day of class.
A study of vector spaces, linear transformations, matrices, determinants, and systems of equations. Special attention is given to the connection between linear transformations and matrices.
A continuation of Calculus II. Partial differentiation, gradient and directional derivatives, multiple integrals, and topics in vector calculus including vector fields, curl, divergence as well as the integral calculus involving line and surface integrals. Green's Theorem, Stokes Theorem, and Gauss' Theorem are further topics to be studied. Students need to verify they have the prerequisite the first day of class.
A first course in ordinary differential equations. Linear algebra will be introduced for systems of linear differential equations. Students need to verify they have the prerequisite the first day of class.
The similarities between the algebraic structures arising in the study of number systems, modular arithmetic and polynomial operations will be used to introduce the study of groups, rings, fields, and their mapping. These structures will be applied to number theoretic and geometric problems.