Dr. Manley's research is primarily directed at the intersection of the theory of integral transforms, functional analysis, and mathematical physics, that being the generalizations of the Fourier transform.
keywords
generalizations of the fourier transform, special functions, mathematical physics
Teaching
courses taught
MATH 1150  Precalculus Mathematics
Primary Instructor

Fall 2018 / Spring 2019 / Fall 2019
Develops techniques and concepts prerequisite to calculus through the study of trigonometric, exponential, logarithmic, polynomial and other functions. For more information about the math placement referred to in the Enrollment Requirements, please contact your academic advisor. Degree credit not granted for this course and APPM 1235 or MATH 1021.
MATH 2001  Introduction to Discrete Mathematics
Primary Instructor

Summer 2018 / Spring 2019
Introduces the ideas of rigor and proof through an examination of basic set theory, existential and universal quantifiers, elementary counting, discrete probability, and additional topics. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C).
MATH 2130  Introduction to Linear Algebra for NonMathematics Majors
Primary Instructor

Spring 2018
Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
MATH 2300  Calculus 2
Primary Instructor

Spring 2018 / Spring 2019
Continuation of MATH 1300. Topics include transcendental functions, methods of integration, polar coordinates, differential equations, improper integrals, infinite sequences and series, Taylor polynomials and Taylor series. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C). Degree credit not granted for this course and APPM 1360.
MATH 2400  Calculus 3
Primary Instructor

Fall 2018
Continuation of MATH 2300. Topics include vectors, threedimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Department enforced prerequisite: MATH 2300 or APPM 1360 (minimum grade C). Degree credit not granted for this course and APPM 2350.
MATH 2510  Introduction to Statistics
Primary Instructor

Summer 2018
Elementary statistical measures. Introduces statistical distributions, statistical inference, hypothesis testing and linear regression. Department enforced prerequisite: two years of high school algebra.