Teaching

Number Theory and Graph Theory

Semester: Spring 2025

Job Title: Assistant Professor

Course description: The course covers the basics of Graph Theory and Elementary Number Theory.

Advanced Calculus

Semester: Spring 2025

Job Title: Assistant Professor

Course description: This course is dedicated for students whose goal is to develop theoretical and practical skills in calculus. The course details are:

• Basics of Differential and Integral Calculus

• Sequences and series of real numbers, their convergence and divergence, tests related to their convergence and divergence

• Differentiation and integration in several variables, maximum and minimum values of functions in several variables

• Dirichlet's integrals, integration by using Feynman's trick of differentiation under the integral sign

Math 323

Semester: Spring 2024

Job Title: Adjunct Lecturer

Course description: This course is dedicated for students whose goal is to develop theoretical and practical skills in multivariable calculus. Specifically, students are expected to be able to demonstrate the following:

• Visualize geometry in three-dimensional space

• Find and apply vector and scalar equations of lines and planes in three-dimensional space

• Understand the calculus of vector-valued functions

• Solve unconstrained and constrained optimization problems

• Find and interpret partial derivatives, directional derivatives, and gradients

• Set up and evaluate double and triple integrals in rectangular, cylindrical, and spherical coordinates

• Set up and evaluate line and surface integrals in addition to applying Green's, Stokes', and Divergence Theorem

Math 224 and 225

Semester: Fall 2023

Job Title: Adjunct Lecturer

Course description: This course is intended for setting and building up the foundation of differential and integral calculus, and some of their applications in the real world. Math 224 is the Differential Calculus and Math 225 is the Integral Calculus.

Math 226 and 227

Semester: Spring 2023

Job Title: Adjunct Lecturer

Course description: The main goal of this course is to continue the development of differential and integral calculus started in Math 224 and 225, including specific topics which have been found to be valuable for applications in many other fields. Students will be introduced to new classes of functions including the exponential functions, logarithm functions, and inverse trigonometric functions. Students are then taught how to apply the techniques of Calculus (differentiation and integration) to those functions. The method of L'Hopital's Rule will be taught for dealing with certain limits. Various techniques for integration will be taught (integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, and improper integrals). They are taught several applications of integration, including: finding the length of arc of a curve, finding the area of a surface of revolution (even when the equations are given in parametric form, in rectangular or polar coordinates).

Math 227 starts with the study of polar coordinates and curves in polar coordinates. Then the students are taught infinite sequences and series, and methods for investigation of their convergence are taught (the integral test, the comparison tests, the ratio and root tests, alternating series, absolute convergence and power series). Methods of representing functions as power series with a radius of convergence are taught, as well as the Taylor series representations of a given function.

The course material is vital to the study of Calculus III and Differential Equations, and is very useful in many other courses in the Department of Mathematical Sciences and in other departments (e.g., Physics, Chemistry, Biology, and Economics).

Math 226 and 227

Semester: Fall 2022

Job Title: Adjunct Lecturer

Course description:  Same as above.

Math 226 and 227

Semester: Spring 2022

Job Title: Instructor

Course description:  Same as above.

Math 226 and 227

Semester: Fall 2021

Job Title: Instructor

Course description:  Same as above.

Math 226

Semester: Summer 2021

Job Title: Instructor

Course description:  Same as above.

Math 323

Semester: Spring 2021

Job Title: Instructor

Course description:  Same as above.

Math 226

Semester: Winter 2021

Job Title: Instructor

Course description:  Same as above.

Math 224 and 225

Semester: Fall 2020

Job Title: Instructor

Course description:  Same as above.

Math 226

Semester: Summer 2020

Job Title: Instructor

Course description:  Same as above.

Math 226 and 227

Semester: Spring 2020

Job Title: Instructor

Course description:  Same as above.

Math 224 and 225

Semester: Fall 2019

Job Title: Instructor

Course description:  Same as above.

Math 226 and 227

Semester: Spring 2019

Job Title: Instructor

Course description:  Same as above.

Math 226 and 227

Semester: Fall 2018

Job Title: Instructor

Course description:  Same as above.

Math 147

Semester: Summer 2018

Job Title: Instructor

Course description:  The course generally covers

• descriptive statistics

• correlation and regression

• probability

• chance variability

• sampling

• tests of significance

Math 147

Semester: Spring 2018

Job Title: Graduate Teaching Assistant

Course description:  Same as above.

Math 224 and 225

Semester: Fall 2017

Job Title: Instructor

Course description:  Same as above.

Math 130

Semester: Spring 2017

Job Title: Graduate Teaching Assistant

Course description: Mathematics in Action emphasizes the real-world significance of Mathematics and applications of several areas of Mathematics. The topics covered include: voting methods, weighted voting systems, apportionment, fair division, counting problems, probability, measuring populations, statistics, normal distributions, statistical inference. It provide students with an experience in quantitative reasoning and data analysis through mathematical modeling of some real life problems including a hands-on approach. Further emphasis is on illustrating the importance, relevance, and currency of mathematics in the modern world.

Math 130

Semester: Fall 2016

Job Title: Graduate Teaching Assistant

Course description:  Same as above.