MATH 5001       LECTURE 001      FALL 2009
Preparation for Financial Mathematics
INSTRUCTOR: SCOT ADAMS
(topics files)

NOTE: Homework assignments are NO LONGER are linked from THIS file. Instead, point to the homework website. To find the date on which a homework is assigned, point to the class diary and read the third paragraph, which begins, "To get the homework assigned in a given class". Homeworks are due at the start of the class following the one in which they are assigned.

Summary of all Topics

Topic 0001:        ppt slides        pdf slides         Summary of Topic 0001         (Miscellaneous topics)
Topic 0002:        ppt slides        pdf slides         Summary of Topic 0002         (Freshman calc review)
Topic 0003:        ppt slides        pdf slides         Summary of Topic 0003         (Sequences and series)
Topic 0004:        ppt slides        pdf slides         Summary of Topic 0004         (Polynomial approximation)
Topic 0005:        ppt slides        pdf slides         Summary of Topic 0005         (Miscellaneous topics 2)
Topic 0006:        ppt slides        pdf slides         Summary of Topic 0006         (Topology)
Topic 0007:        ppt slides        pdf slides         Summary of Topic 0007         (Completing the square)
Topic 0008:        ppt slides        pdf slides         Summary of Topic 0008         (Combinatorics)
Topic 0009:        ppt slides        pdf slides         Summary of Topic 0009         (Basics of vector spaces)
Topic 0010:        ppt slides        pdf slides         Summary of Topic 0010         (Basics of linear transformations)
Topic 0011:        ppt slides        pdf slides         Summary of Topic 0011         (Matrix operations)
Topic 0012:        ppt slides        pdf slides         Summary of Topic 0012         (Matrix types)
Topic 0013:        ppt slides        pdf slides         Summary of Topic 0013         (Introduction to row and column operations)
Topic 0014:        ppt slides        pdf slides         Summary of Topic 0014         (Row and column operations and linear algebra)
Topic 0015:        ppt slides        pdf slides         Summary of Topic 0015         (Determinants exist)
Topic 0016:        ppt slides        pdf slides         Summary of Topic 0016         (Properties of determinants)
Topic 0017:        ppt slides        pdf slides         Summary of Topic 0017         (Polynomial approximation, binlinear forms and quadratic forms)
Topic 0018:        ppt slides        pdf slides         Summary of Topic 0018         (Cauchy-Schwarz)
Topic 0019:        ppt slides        pdf slides         Summary of Topic 0019         (Rotations, reflections and orthogonal transformations)
Topic 0020:        ppt slides        pdf slides         Summary of Topic 0020         (Eigenvalues and eigenvectors)
Topic 0021:        ppt slides        pdf slides         Summary of Topic 0021         (Diagonalization of matrices)
Topic 0022:        ppt slides        pdf slides         Summary of Topic 0022         (The Spectral Theorem)
Topic 0023:        ppt slides        pdf slides         Summary of Topic 0023         (Principal component analysis)
Topic 0024:        ppt slides        pdf slides         Summary of Topic 0024         (Cayley's Theorem)
Topic 0025:        ppt slides        pdf slides         Summary of Topic 0025         (Basics of piecewise constant random variables)
Topic 0026:        ppt slides        pdf slides         Summary of Topic 0026         (Conditional probability)
Topic 0027:        ppt slides        pdf slides         Summary of Topic 0027         (Conditional expectation)