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Teaching

” If a child can’t learn the way we teach, maybe we should teach the way they learn.”-  Ignacio Estrada

Teaching Philosophy

 

Course Taught at Washington and Lee University

Spring 2025,  W&L Academic Calander

 

MATH 321 Abstract Algebra     See more

MATH 101 Calculus I     See more


Fall 2024
 
MATH 311, Real Analysis   (syllabus and course content)
I was an instructor of record of one section of real analysis. The course is an introductory real analysis and

the covered content is an in-depth exploration of the real number system, building on the foundation-
tional concepts introduced in calculus. Key topics include the completeness and topology of the real numbers,
sequences and series, limits, continuity, differentiation, and integration.

Textbook: Undergraduate Texts in Mathematics: Understanding Analysis by Stephen Abbott, 2nd edition, Springer, 2015 

Calculus II

I was an instructor of record of Calculus II for (two sections). This course is a combination of standard Calculus I & Calculus II.

The content covered is: Techniques and applications of integration, transcendental functions, infinite sequences, and series.

Textbook: Calculus Volumes 2, Senior contributing authors Gilbert Strang, Massachusetts Institute of Technology


Summer 2024

MATH 293, Directed Summer Research


Winter 2024

MATH 101, Calculus I

MATH 102, Calculus II

MATH 401, Directed Study on Mathematical Foundations of Machine Learning
and Deep Learning


Fall 2023

MATH 101, Calculus I

I was an instructor of record of Calculus I for liberal arts students. This course is a combination of standard Pre-Calculus and Calculus I. It is usually offered to non-math majors. Content covered for this course is:

Functions, Limits, the derivative of algebraic, trigonometric, exponential, and logarithmic functions, antiderivatives, the definite integrals.

Textbook: Calculus Volumes 1, Senior contributing authors Gilbert Strang, Massachusetts Institute of Technology   

For this course, I design weekly homework, quizzes, and monthly exams with a final project.

MATH 102, Calculus II

I was an instructor of record of Calculus II for liberal arts students. This course is a combination of standard Calculus I & Calculus II. In Fall this course is offered for students with high SAT, and ACT scores.

The content covered is: Techniques and applications of integration, transcendental functions, infinite sequences, and series.

Textbook: Calculus Volumes 2, Senior contributing authors Gilbert Strang, Massachusetts Institute of Technology

 


Courses Taught at Emory University

 

 

Spring 2023

MATH 211 Advanced Calculus (Multivariable)

In this course, like Advanced Calculus for Data Science, I have covered: Vectors; multivariable functions; partial derivatives; multiple integrals; vector and scalar fields; Green’s and Stokes’ theorems; and divergence theorems.

Textbook: Multivariable Calculus by James Stewart

MATH 346 Linear Optimization   

Fall 2022

MATH 221 Linear Algebra

Content covered: matrices, row-reduction, systems of linear equations, (finite-dimensional) vector spaces, subspaces, bases, dimension, change of basis, linear transformations, kernels, orthogonality, Gram-Schmidt, Matrix factorization such as LU factorization, Cholesky factorization, rank factorization, and SVD factorization

Textbook: Linear Algebra with Applications by W. Keith Nicholson

MATH 346 Linear Optimization   

Summer 2022

MATH 210 Advanced Calculus for Data Sciences

This course is a developed course by Mike Car at Emory University. This course is a short treatment of Calculus(I) and Calculus(II) with a lab component. Topics include advanced integration, Taylor series; multivariable differentiation, optimization, and integration; and applications to statistics and science. This course has weekly lab sessions where students get familiar with applying advanced calculus in data science using Python programming.

Textbook: Advanced Calculus For Data Science

Spring 2022

Math 111 Calculus I 

I have taught one section of Calculus I at Emory University. For this course, I met weekly with a group of experienced professors and instructors for quiz designing, exam question designing, and sharing teaching experience. 

Textbook:Calculus: Early Transcendentals by James Stewart

The significant content covered are: Limits, the derivative of algebraic, trigonometric, exponential, and logarithmic functions. Applications of the derivative, antiderivatives, the definite integral and applications to area problems, the fundamental theorem of calculus.

MATH 346 Linear Optimization   

Fall 2021

MATH 346 Linear Optimization   

I taught two sections of linear optimization, online (16 students) and in person (35 students).I have worked with one teaching assistant for grading.

Textbook I have used for Linear Optimization: An Introduction to Linear Programming and Game Theory Thie Gerard and E.
Keough

Content covered: I have covered theory and algorithms for standard linear optimization problems in this course. Simplex algorithm and duality, optimal flows in networks, and mathematical programming. Transportation, Game Theory

 


Course Taught at Auburn University 

 

 

At Auburn University 200 200-level courses were taught in a group. For Calculus I we had weekly meetings with other instructors regarding teaching improvement, and question designing for homework and exams. Also, I am a professional online teacher with certification from Auburn Online Bigio Center.

Fall 2020 and Spring 2021

 Math 2660 Linear Algebra

I taught two large sections (45 students in each section) of linear algebra for engineering and math major students. I was working with two Teaching Assistants for extra office hours and homework grading.

Textbook: Linear Algebra with Applications, Ninth Edition, Steven J. Leon, University of Massachusetts, Dartmouth

Content covered in this course: matrices, row-reduction, systems of linear equations, (finite-dimensional) vector spaces, subspaces, bases, dimension, change of basis, linear transformations, kernels, orthogonality, Gram-Schmidt, Matrix factorization such as LU factorization, Cholesky factorization, rank factorization, and SVD factorization.

 Fall 2019 and Spring 2020

Math 1610 Calculus I 

I taught two large sections of Calculus (100-120 students in each section ) for engineering and math major students. I was working with 4 teaching assistants for grading and office hours.

Textbook:Calculus: Early Transcendentals by James Stewart

The significant content covered are: Limits, the derivative of algebraic, trigonometric, exponential, and logarithmic functions. Applications of the derivative, antiderivatives, the definite integral and applications to area problems, the fundamental theorem of calculus.

Math 1130 Pre-Calculus Trigonometry,

I taught a large section (100 students) of MATH 1130 with two teaching assistants to help with more office hours and grading.

Textbook: Pre-Calculus: Mathematics for Calculus by James Stewart

This course is a preparatory course for the calculus sequence. Basic analytic and geometric properties of the trigonometric functions, complex numbers, De Moivre’s Theorem, and polar coordinates.