# Jaewoo Lee

Professor

Mathematics

EMAIL: JaLee@bmcc.cuny.edu

Office: N598D

Office Hours:

Phone: +1 (212) 776--6495

Professor Jaewoo Lee received a Ph.D. in Mathematics from The Graduate Center, The City University of New York, in 2006. His areas of scholarly interest include Number Theory and Combinatorics. As evidenced by the posters on his office door, he is also very interested in promoting mathematics to students and a general audience. Professor Lee has been actively involved in pedagogical issues related to mathematics education and has mentored numerous student research projects. In particular, he has taught Writing Intensive Mathematics classes for many years to promote students’ participation and proactive thinking.

## Expertise

Number Theory, Combinatorics, Math Education

## Degrees

- Ph.D. The City University of New York Graduate Center, Mathematics,2006

## Courses Taught

- This course is a combination of arithmetic and elementary algebra. It includes the arithmetic of integers, fractions, decimals, and percent. In addition, such topics as signed numbers, algebraic representation, operations with polynomials, factoring, the solution of simultaneous linear equations of two variables, and graphing are covered.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course is the first algebra course offered at the College. It includes such topics as algebraic representation, signed numbers, operations with polynomials, factoring, the solution of linear equations, the coordinate system, the solution of simultaneous linear equations of two variables, and graphing. This course is designed to prepare students for the CUNY Freshman Skills Assessment Test required for transfer to the upper division of CUNY, as well as for more advanced math courses. If a student passes MAT 12, the student should not register for MAT 51, since MAT 12 combines MAT 8 and MAT 51.
Students who passed MAT 12, MAT 14, MAT 41, MAT 51, MAT 56, MAT 160, MAT 161, MAT 56.5, MAT 150.5 cannot take MAT 161.5.

Course Syllabus - This course covers computations and measurements essential in the health science professional fields with an emphasis on nursing. Topics include units and systems of measurement, reconstitution of powdered medications, oral and parenteral dosage calculations, adult and pediatric dosage calculations based on body weight, intravenous calculations, and pediatric medication calculations. Students who passed MAT 104.5 cannot take MAT 104 course. Students who passed MAT 104 course cannot take MAT 104.5 course.
Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This course covers basic statistics, including: measures of central tendency, measures of dispersion, graphs, correlation, the regression line, confidence intervals, the significance of differences, and hypothesis testing, including z-tests, t-tests, and chi-square tests.
Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - This course covers basic algebraic and trigonometric skills, algebraic equations, and functions. Topics include: mathematical induction, complex numbers, and the binomial theorem.
Prerequisite: MAT 56 or MAT 56.5

Course Syllabus - This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206 or MAT 206.5

Course Syllabus - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all of mathematics, and the scientific method are discussed. The course considers topics such as: the nature of axioms, truth and validity; the concept of number; the concept of set; scales of notation; and groups and fields.
Prerequisites: MAT 12, MAT 14, MAT 41, MAT 51 or MAT 161.5

Course Syllabus - 4 CRS.8 HRS.NULL LAB HRS.MAT 206.5 (Intermediate Algebra and Precalculus (Same as MAT 206))
- This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations and inequalities, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.
Prerequisite: Elementary Algebra (MAT 51 or MAT 12) or the equivalent with departmental approval or placement into Intermediate Algebra (MAT 56)

*Please note: Tuition for this corequisite course is charged by the equated credit (hours) not per credit.*

Course Syllabus

## Research and Projects

**Expository Article**

The above can be used for a mentored student research and/or student independent study. Click the link above to access the article.

**Selected Mentored Student Research Projects**

- Gainer, Rae. Threshold functions of random graphs, 2023.
- Kim, Jo Eun. Combinatorial analysis and Egyptian fractions, 2017-2018.
- Chen, Xueying. Two different approaches for the Stirling numbers of the second kind, 2016-2017.
- Hamdun, Nizar. Combinatorics in chain rule, 2016.
- Ashiagbor, Libby. Unit Fractions, 2013.

## Publications

Selected publications

- A Proof of Khovanskii’s Theorem.
*Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016.*Ed. Melvyn Nathanson. New York: Springer, 2017. - Bridging the Gap in Calculus Education.
*MathAMATYC Educator*4.3 (2013), 54-56. - Algebraic Proof for the Geometric Structure of Sumsets.
*Integers*11A (2011), Article 14, 9 pp. (electronic). - Infinitely often dense bases for the integers with a prescribed representation function.
*INTEGERS*10 (2010), 299-307.

## Honors, Awards and Affiliations

- CUNY Community College Research Grant–Mentored Undergraduate Research Grant
- William Stewart Travel Grant
- CUNY Collaborative Incentive Research Grant ($40,000)
- Support from the Fields institute
- Support from the Mathematical Sciences Research Institute
- PSC-CUNY Research Award for many years
- Travel Grant from Korean Mathematical Society
- Travel Grant from American Mathematical Society