Teaching Experience
Spring 2023: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2022: Graduate Teaching Associate for Basic Calculus (MATH 125) [University of Tennessee Mathematics Department]
Spring 2022: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2021: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Spring 2021: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2020: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Spring 2020: Graduate Teaching Assistant for Basic Calculus (MATH 125) [University of Tennessee Mathematics Department]
Fall 2019: Graduate Teaching Assistant for College Algebra (MATH 119) [University of Tennessee Mathematics Department]
Spring 2019: Teaching Assistant for Undergraduate Research Seminar (21499) [Carnegie Mellon University Mathematics Department]
Fall 2018: Teaching Assistant for EUREKA (38101) [Carnegie Mellon University Mellon College of Science Core Curriculum Seminar]
Spring 2017: Teaching Assistant for "Methods and Models for Optimization" (21257) [Carnegie Mellon University Mathematics Department]
Spring 2023: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2022: Graduate Teaching Associate for Basic Calculus (MATH 125) [University of Tennessee Mathematics Department]
Spring 2022: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2021: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Spring 2021: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Fall 2020: Graduate Teaching Associate for Mathematical Reasoning (MATH 113) [University of Tennessee Mathematics Department]
Spring 2020: Graduate Teaching Assistant for Basic Calculus (MATH 125) [University of Tennessee Mathematics Department]
Fall 2019: Graduate Teaching Assistant for College Algebra (MATH 119) [University of Tennessee Mathematics Department]
Spring 2019: Teaching Assistant for Undergraduate Research Seminar (21499) [Carnegie Mellon University Mathematics Department]
Fall 2018: Teaching Assistant for EUREKA (38101) [Carnegie Mellon University Mellon College of Science Core Curriculum Seminar]
Spring 2017: Teaching Assistant for "Methods and Models for Optimization" (21257) [Carnegie Mellon University Mathematics Department]
Lecture Notes
Why Continuous Finite Elements Are Good (personal reference, January 2024)
WORDLE (University of Tennessee, Mathematical Reasoning Spring 2022/2023)
Weighted Graphs (University of Tennessee, Mathematical Reasoning Spring 2023)
Pigeonhole Principle (University of Tennessee, Mathematical Reasoning Spring 2023)
Proof of an Abstract Poincaré Inequality (personal reference, October 2022)
Optimality Conditions for Fractional Laplacian (personal reference, January 2022)
Gamma-Convergence in Finite Elements and Calculus of Variations (reference notes for course presentation, November 2021)
Gamma-Convergence in Calculus of Variations (personal reference, October 2021)
U-Substitutions (Carnegie Mellon University, TA Orientation Spring 2019)
Reference Guides/Note Sheets
Simply Connected Domains (University of Tennessee, Complex Analysis Spring 2020)
A Selection of Conformal Maps (University of Tennessee, Complex Analysis Spring 2020)
Derivatives and Harmonic Functions (University of Tennessee, Complex Analysis Spring 2020)
Cauchy Theorems and Integrals (University of Tennessee, Complex Analysis Spring 2020)
Converting Between Ball and Boundary Integrals (University of Tennessee, Partial Differential Equations II, Spring 2020)
Some Explicit Formulas for Solutions to Second-Order Linear Partial Differential Equations (University of Tennessee, Partial Differential Equations II, Spring 2020)
Catalogue of Properties of Harmonic Functions (University of Tennessee, Partial Differential Equations II, Spring 2020)
Catalogue of Maximum Principles for Parabolic Problems (University of Tennessee, Partial Differential Equations II, Spring 2020)
Catalogue of Maximum Principles for Elliptic Spatial Problems (University of Tennessee, Partial Differential Equations II, Spring 2020)
Approximation Theorems: Measure Theory (University of Tennessee, Real Analysis Fall 2019)
An Overview on Norms for Vectors and Matrices (Carnegie Mellon University, Numerical Methods Spring 2018)
Summary of Polynomial Interpolation Methods (Carnegie Mellon University, Numerical Methods Spring 2018)
Reference of Discrete Probability Distributions (Carnegie Mellon University, Probability Fall 2017)
Practice Problems and Practice Exams
Courses I taught
DECISION Exam Review [Key] (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 6 (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 5 (University of Tennessee, Mathematical Reasoning Spring 2023)
SHAPE Exam Review [Key] (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 4 (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 3 (University of Tennessee, Mathematical Reasoning Spring 2023)
NUMBER Exam Review [Key] (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 2 (University of Tennessee, Mathematical Reasoning Spring 2023)
Stretch 1 (University of Tennessee, Mathematical Reasoning Spring 2023)
Mathematical Reasoning Practice Problems (University of Tennessee, Mathematical Reasoning Spring 2022)
Mathematical Reasoning Practice Problems (University of Tennessee, Mathematical Reasoning Fall 2021)
Mathematical Reasoning Practice Problems (University of Tennessee, Mathematical Reasoning Spring 2021)
Mathematical Reasoning Practice Problems (University of Tennessee, Mathematical Reasoning Fall 2020)
Calculus Practice Problems (University of Tennessee, Basic Calculus Spring 2020)
Courses I took
I sometimes wrote practice problems for courses I was enrolled in because I found it to be a good way to study. Plus I could then share what I had done with my classmates.
Practice Problems: PDE and Analysis (University of Tennessee, Real Analysis; Complex Analysis; PDE I; PDE II Fall 2019 - Spring 2020)
Differential Equations Practice Exam 1 (Carnegie Mellon University, Introduction to Differential Equations Fall 2018)
Differential Equations Practice Exam 2 (Carnegie Mellon University, Introduction to Differential Equations Fall 2018)
Linear Algebra Practice Exam 1 (Carnegie Mellon University, Linear Algebra Spring 2018)
Linear Algebra Practice Exam 1 Solutions (Carnegie Mellon University, Linear Algebra Spring 2018)
Numerical Analysis Practice Exam 1 (Carnegie Mellon University, Numerical Methods Spring 2018)
Numerical Analysis Practice Exam 1 Solutions (Carnegie Mellon University, Numerical Methods Spring 2018)
Numerical Analysis Practice Exam 2 (Carnegie Mellon University, Numerical Methods Spring 2018)
Numerical Analysis Practice Exam 2 Solutions (Carnegie Mellon University, Numerical Methods Spring 2018)
Numerical Analysis Practice Exam 3 (Carnegie Mellon University, Numerical Methods Spring 2018)
Multidimensional Calculus Practice Exam (Carnegie Mellon University, Vector Analysis Spring 2016)
External Resources: University Mathematics Preliminary Examinations (Graduate Level)
The syllabi for preliminary examinations tend to have substantial, but not complete, overlap, between different universities. Hence they make for a good source of practice problems, for preparing for both the courses and preliminary examinations.
Carnegie Mellon University
Purdue University
Stanford University
University of Iowa
University of Tennessee-Knoxville
University of Texas-Austin