Dr. Jonathan Kish's research interests include harmonic analysis on the positive rationals, groups generated by prescribed sets of rationals, irrational and transcendental numbers, cryptography and cyber security.
keywords
multiplicative number theory, transcendental number theory, irrational numbers
APPM 1350 - Calculus 1 for Engineers
Primary Instructor
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Fall 2018 / Fall 2019 / Fall 2020 / Fall 2021 / Fall 2023 / Fall 2024
Topics in analytical geometry and calculus including limits, rates of change of functions, derivatives and integrals of algebraic and transcendental functions, applications of differentiations and integration. 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 ECON 1088 or MATH 1081 or MATH 1300 or MATH 1310 or MATH 1330.
APPM 1360 - Calculus 2 for Engineers
Primary Instructor
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Spring 2020 / Fall 2022
Continuation of APPM 1350. Focuses on applications of the definite integral, methods of integration, improper integrals, Taylor's theorem, and infinite series. Degree credit not granted for this course and MATH 2300.
APPM 2350 - Calculus 3 for Engineers
Primary Instructor
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Summer 2018 / Fall 2018 / Fall 2020 / Spring 2021 / Fall 2021 / Fall 2022 / Spring 2023 / Fall 2023 / Fall 2024
Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Degree credit not granted for this course and MATH 2400.
APPM 2360 - Introduction to Differential Equations with Linear Algebra
Primary Instructor
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Spring 2018 / Spring 2019 / Spring 2020 / Spring 2021 / Spring 2022 / Spring 2023 / Spring 2024
Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Credit not granted for this course and both MATH 2130 and MATH 3430.
APPM 4440 - Undergraduate Applied Analysis 1
Primary Instructor
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Fall 2021
Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; continuous functions; differentiable functions; Darboux sums, Riemann sums, and integration; Taylor and power series and sequences of functions.
APPM 4450 - Undergraduate Applied Analysis 2
Primary Instructor
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Spring 2020 / Spring 2022 / Spring 2024
Continuation of APPM 4440. Study of multidimensional analysis including n-dimensional Euclidean space, continuity and uniform continuity of functions of several variables, differentiation, linear and nonlinear approximation, inverse function and implicit function theorems, and a short introduction to metric spaces.
APPM 4720 - Open Topics in Applied Mathematics
Primary Instructor
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Spring 2019
Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 15 total credit hours. Same as APPM 5720.
APPM 5720 - Open Topics in Applied Mathematics
Primary Instructor
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Spring 2019
Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 6 total credit hours. Same as APPM 4720.
COEN 4830 - Special Topics
Primary Instructor
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Summer 2019
Explores topics of interest in engineering. Content varies by instructor and semester. May be repeated up to 9 total credit hours.
