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Publications in VIVO

Bhat, Sujeet

Associate Teaching Professor

Positions

Research Areas research areas

Research

research overview

  • Some of my research interests include studying problems that arise from or involve materials. I have studied composite materials using multiple scales analysis to study problems related to conductivity over heterogeneous electrode surfaces. This work required a deep analysis of the partial differential equations (PDEs) modeling the phenomena using asymptotic scales as well as a rigorous numerical solution of the PDEs. Another field of my research includes modeling and analyzing data using a data mining/machine learning approach based on spectral graph theory methods, probability and statistics. Large data sets are modeled on manifolds using a graph Laplacian approach. My recent work in this area involves using a graph theory based learning algorithm to perform a pattern analysis of synaptic activity induced by seizure-like events as well as using spectral graph theory based dimension reduction algorithms to analyze simulated radar and ladar data.

keywords

  • partial differential equations, asymptotics, numerical analysis, graph theory, probability and statistics

Publications

selected publications

Teaching

courses taught

  • APPM 1340 - Calculus 1 with Algebra, Part A
    Primary Instructor - Fall 2019 / Fall 2021
    Studies selected topics in analytical geometry and calculus: rates of change of functions, limits, derivatives and their applications. This course and APPM 1345 together are equivalent to APPM 1350. The sequence of this course and APPM 1345 is specifically designed for students whose manipulative skills in the techniques of high school algebra and precalculus may be inadequate for APPM 1350. For more information about the math placement referred to in the "Enrollment Requirements", please contact your academic advisor.
  • APPM 1345 - Calculus 1 with Algebra, Part B
    Primary Instructor - Spring 2020 / Spring 2022
    Continuation of APPM 1340. Studies selected topics in calculus: derivatives and their applications, integration, differentiation and integration of transcendental functions. Algebraic and trigonometric topics are studied throughout, as needed. Degree credit not granted for this course and APPM 1350 or ECON 1088 or MATH 1081 or MATH 1300 or MATH 1310 or MATH 1330.
  • APPM 1350 - Calculus 1 for Engineers
    Primary Instructor - Spring 2018 / Spring 2019 / Spring 2021
    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 2350 - Calculus 3 for Engineers
    Primary Instructor - Spring 2023 / Fall 2023 / Spring 2024 / 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 3170 - Discrete Applied Mathematics
    Primary Instructor - Spring 2018 / Fall 2018
    Introduces students to ideas and techniques from discrete mathematics that are widely used in science and engineering. Mathematical definitions and proofs are emphasized. Topics include formal logic notation, proof methods; set theory, relations; induction, well-ordering; algorithms, growth of functions and complexity; integer congruences; basic and advanced counting techniques, recurrences and elementary graph theory. Other selected topics may also be covered.
    • ... more

Background

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