PhD, Mathematics (Toronto)
MSc, Mathematics (Toronto)
BSc (Eng), Mathematics and Engineering (Queen's)
I teach a variety of introductory 1st- and 2nd-year mathematics courses at the Augustana Campus: calculus, linear algebra, discrete math, and geometry.
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If you are a past student and need a syllabus from a past course, please contact the Augustana departmental administrative support staff at email@example.com.
Limits; differentiation and integration of algebraic, trigonometric, exponential, and logarithmic functions; applications. Prerequisite: Mathematics 30-1. Notes: Credit may be obtained for only one of AUMAT 110 and 116. Students with credit in Mathematics 31 who score 80% or more on the Calculus Placement Test should take AUMAT 116 instead of AUMAT 110. Students with unsatisfactory performance through the first four weeks of the course are advised to withdraw and register in the next offering of AUMAT 101.Fall Term 2020
Vector and matrix algebra, determinants, linear systems of equations, vector spaces, eigenvalues and eigenvectors, applications. Prerequisite: Mathematics 30-1.Winter Term 2021
Vector spaces, bases, linear transformations, change of bases, eigenvectors, characteristic polynomials, diagonalization, inner products and Gram-Schmidt orthogonalization, orthogonal and unitary operators. Prerequisites: AUMAT 120 and one of 110 or 116.Winter Term 2021
Groups as a measure of symmetry. Groups of rigid motions. Frieze groups, and finite groups in two and three dimensions. Groups of matrices. Group actions with application to counting problems. Permutation groups. Subgroups, cosets, and Lagrange's Theorem. Quotient groups and homomorphisms. Prerequisites: AUMAT 120 and one of 110 or 116.Fall Term 2020
Sets, functions, elementary propositional and predicate logic, Boolean algebra, elementary graph theory, proof techniques (including induction and contradiction), and combinatorics. Prerequisites: AUMAT 110 or 116, and 120.Fall Term 2020