Yazhu Liu
Lecturer
Mathematics
EMAIL: yazliu@bmcc.cuny.edu
Office: N-563A
Office Hours: Mo 12-1 p.m. & Tu 2-3 p.m. & We 12-1 p.m. (online)
Phone:
Expertise
Applied Mathematics, Statistics
Degrees
- B.S. Stony Brook University, Â Applied Mathematics & Statistics; B.A. Mathematics
- M.S. City College of New York, Mathematics
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 is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.
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 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 - This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all mathematics, and the scientific method are discussed, The course considers topics such as the nature of axiom truth and validity; the concept of number; the concept of sets; scales of notation, and groups and fields.
Prerequisites: MAT12, MAT 14, MAT 41, MAT 51 or MAT 161.5
Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.
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 157 or MAT 157.5
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 - 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 - 4 CRS.6 HRS.NULL LAB HRS.MAT 150.5 (Introduction to Statistics with Algebra (same as MAT 150))
- Statistics with algebra is a statistics course (4 credits and 60 hours) with an additional 30 hours focusing on elementary algebraic concepts useful in statistics. After covering the selected algebraic concepts, the course covers the study of basic statistics. It includes measures of central tendency, measures of dispersion, graphs, probability, the binomial distribution, the normal distribution, sampling distributions, the chi-square distribution, t-tests, estimation and hypothesis testing, correlation and regression.
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.
Please note: Tuition for this corequisite course is charged by the equated credit (hours) not per credit.
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 is an introduction to the concepts of integration. It covers the integration of algebraic and transcendental functions. Topics include the anti-derivative, the definite integral, areas, volumes, applications, the improper integral, infinite sequences and series, Taylor’s Theorem. MAT 302 has a computer laboratory component. Students utilize computer software such as graphing packages, a computer algebra system, and a mathematical word processor to complete laboratory assignments associated with their calculus course.
Prerequisite: MAT 301
Course Syllabus