Dr. Stade studies automorphic forms, which lie at the intersection of number theory and harmonic analysis. In particular, he's interested in the interplay between the Fourier theory of automorphic forms and the classical study of generalized Barnes integrals and hypergeometric series. In addition, Dr. Stade is presently studying several issues in mathematics education.
keywords
number theory, automorphic forms, hypergeometric and other special functions, mathematics education
MATH 1310 - Calculus for Life Sciences
Primary Instructor
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Spring 2018 / Fall 2018 / Spring 2019 / Fall 2020
Calculus concepts are developed through the analysis and modeling of complex systems, ranging from gene networks and cells to populations and ecosystems. Fundamental concepts of probability and statistics are also developed through the lens of calculus. MATH 1300 is similar, but a greater emphasis is placed on relevance and applications in biology and other life sciences. Students who have already earned college credit for calculus 1 are eligible to enroll in this course if they want to solidify their knowledge base in calculus 1. For more information about the math placement referred to in the "Enrollment Requirements", contact your academic advisor. Degree credit not granted for this course and APPM 1345 or APPM 1350 or ECON 1088 or MATH 1081 or MATH 1300 or MATH 1330.
MATH 2001 - Introduction to Discrete Mathematics
Primary Instructor
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Spring 2024 / Fall 2024
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. Credit not granted for this course and MATH 2002.
MATH 2300 - Calculus 2
Primary Instructor
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Spring 2020
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 3001 - Analysis 1
Primary Instructor
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Spring 2023
Provides a rigorous treatment of the basic results from elementary Calculus. Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions and the Riemann integral.
MATH 3510 - Introduction to Probability and Statistics
Primary Instructor
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Fall 2023
Introduces the basic notions of Probability: random variables, expectation, conditioning, and the standard distributions (Binomial, Poisson, Exponential, Normal). This course also covers the Law of Large Numbers and Central Limit Theorem as they apply to statistical questions: sampling from a random distribution, estimation, and hypothesis testing. Degree credit not granted for this course and MATH 2510 or MATH 4510.
MATH 3850 - Seminar in Guided Mathematics Instruction
Primary Instructor
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Spring 2018 / Fall 2018
Provides learning assistants with an opportunity to analyze assessment data for formative purposes and develop instructional plans as a result of these analyses. These formative assessment analyses will build on the literature in the learning sciences. Students gain direct experiences interacting with the tools of the trade, especially with actual assessment data and models of instruction. May be repeated up to 3 total credit hours. Restricted to learning assistants in Math.
MATH 4510 - Introduction to Probability Theory
Primary Instructor
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Fall 2024
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Degree credit not granted for this course and APPM 3570 or ECEN 3810 or MATH 3510. Same as MATH 5510.
MATH 5510 - Introduction to Probability Theory
Primary Instructor
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Fall 2024
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Same as MATH 4510.
MATH 6190 - Analytic Number Theory
Primary Instructor
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Fall 2023
Acquaints students with the Riemann Zeta-function and its meromorphic continuation, characters and Dirichlet series, Dirichlet's theorem on primes in arithmetic progressions, zero-free regions of the zeta function and the prime number theorem. Department enforced prerequisites: MATH 6110 and MATH 6350. Instructor consent required for undergraduates.
