# Karl Levy

Lecturer

Mathematics

EMAIL: klevy@bmcc.cuny.edu

Office: N-563A

Office Hours:

Phone: +1 (212) 220-8000;ext=5597

## Expertise

Number Theory

## Degrees

## Courses Taught

- This course provides an introduction to the concepts of formal integration. It covers the differentiation and integration of algebraic, trigonometric, and transcendental functions. Topics include the definite integral, the antiderivative, areas, volumes, and the improper integral.
Prerequisite: MAT 301

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 covers mathematics recommended by the National Council of Teachers of Mathematics (NCTM) for prospective elementary school teachers, including problem solving, numeration, computation, real numbers, and number theory with an additional 60 hours focusing on intermediate algebra concepts. MAT 214.5 focuses on a learner-oriented approach to teaching mathematics. Emphasis is placed on mathematical concepts and skills, as well as techniques of inquiry and critical thinking. The course includes a survey of elementary mathematical concepts with appropriate materials to assist teachers in the classroom setting. MAT 214.5 meets the mathematics requirement for students who plan to teach on the elementary school level. In addition, the course will cover topics from MAT 56, Intermediate Algebra, including such topics as 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 an
introduction to trigonometry.
This course will consist of:
1. Numeration Systems
2. Alternate Algorithms and Methods of Computation
3. Number Theory and Types of Numbers
4. Rational and Irrational Numbers, Measurement
5. Problem Solving and Patterns
6. Sets and Logic
Algebra Topic will be infused throughout the course (see end of this syllabus for more detail).
The topics correspond with the NCTM strands of Number and Number Sense, including developing early number
concepts and number sense, developing whole-number place-value concepts, developing meanings and strategies for the
operations, developing fraction concepts and strategies for fraction computation, developing concepts of decimals and
percents, patterns and algebra, including developing algebraic thinking: generalizations, patterns, and functions, and
measurement, including developing measurement concepts.
Prerequisite: Students must have passed or be exempt from MAT 51 or MAT 12
Please Note: This is an accelerated course that combines credit-bearing and developmental content.

Course Syllabus - 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)

Course Syllabus - This course covers statistical concepts and techniques with applications. Topics include probability, random variables, the binomial distribution, the hyper-geometric distribution, measures of central tendency, the normal distribution, precision and confidence intervals, sample design and computer projects.
Prerequisite: MAT 206 or MAT 206.5

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 topics in intermediate algebra and emphasizes problems and applications in respiratory therapy. It includes such topics as: algebraic representation, factoring, approximate numbers, significant digits and scientific notation, first and second degree equations with applications, ratio and proportions, square roots, radicals and exponents, logarithms, graphing linear equations, vectors and the metric system.

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 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 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 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 developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reason to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Mathematics (STEM) students.
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 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