Teaching Responsibilities

ο Mat 1475-Calculus-(NYCCT) / Fall 2015: Topics include functions, limits, differentiation, and tangent lines, LβHΓ΄pitalβs Rule, Fundamental Theorem of Calculus and Applications. Find the derivative of functions using the definition, sum rule, product rule, quotient rule, and the chain rule. Use the derivative of a function to find an equation for the tangent line at a point. Evaluate definite and indefinite integrals of polynomials, trigonometric and exponential functions

ο Mat 1275-(NYCCT)/Fall 2015: An intermediate and advanced algebra course. Topics include quadratic equations, systems of linear equations, exponential and logarithmic functions; topics from trigonometry, including identities, equations and solutions of triangles. Linear and fractional equations. One-variable quadratic equations by factoring, completing the square, and the quadratic formula. Radical and exponential equations. Systems of equations

ο College Focus Math Program- Kings Borough Community College (Summer 2015)

This course is designed to help students for college readiness, strengthen the mathematics knowledge and skills to insure their successful continued higher education. The focus of this program is preparing students as critical thinkers by cultivating logical, quantitative and qualitative reasoning, and making sense in using mathematics to solve the real world problems. Some of the main concepts and skills that the students master throughout this course are: Applying proportional reasoning to solve . Absolute growth as a linear function, graphing

ο Mat 1175-( NYCCT) / Spring 2014, 2015: Fundamentals of Mathematics (4 hours, 4cr). Combine and factor polynomials. Combine and simplify rational and radical expressions. Linear and quadratic equations; Systems of linear equations in two variables; Equations involving rational and radical expressions. Apply theorems and solve problems associated with parallel and perpendicular lines, Apply the SAS, SSS, ASA and AAS Theorems to congruent triangles. Apply the AA Theorem to similar triangles. Solve problems related to a parallelogram. Apply the Pythagorean Theorem. Solve special right triangles. MAT1175 Department Syllabus (6) (1) (1)

ο Mat 1375-Pre-Calculus(NYCCT)/Spring 2014, 2015 ( 4 cl hours, 4 cr) Prerequisite Mat 1275, graphing calculator required Solve absolute value equations algebraically; Solve equations graphically; Functions, domain, range and operations with functions. Inverse functions; roots and relative extremes; sketching the graph, transformations of the graph, Solve equations involving polynomial, rational, exponential, and logarithmic functions. Use the trigonometric identities, half- and double-angle formulas to modify trigonometric formulas. Solve trigonometric equations; Write a complex number in rectangular and polar forms. Multiply and divide two complex numbers in polar

ο form. Find the magnitude, direction angle, horizontal, and vertical components of a vector; The n-th term of arithmetic and geometric sequences; The n-th partial sums of arithmetic and geometric sequences; Terms of a binomial expansion using the Binomial Theorem. MAT1375department (2)

ο Geometry Regents Prep/Spring 2015 (Bridge The Gap Program, CUNY Research Foundation, CityTech). Understand congruence in terms of rigid motions; Prove geometric theorems; Make geometric constructions; Understand similarity in terms of similarity transformations. Prove theorems using similarity. Define trigonometric ratios and solve problems involving right triangles; Understand and apply theorems about circles. Find arc lengths and areas of sectors of circles, Translate between the geometric description and the equation of a conic section. Use coordinates to prove simple geometric theorems algebraically. Explain volume formulas and use them to solve problems. Visualize relationships between two-dimensional and three-dimensional objects. Apply geometric concepts in modeling situations. BTG@NYCCT Geometry Syllabus Spring 2015 (5) (1).pdf

ο Mat 105 / every semester for 4 years in a row (ASA College) (3 cl hours, 3cr, 5 classes) This comprehensive, broad- based credit-bearing course is designed to familiarize students with the techniques of problem-solving. This course contains two main parts: College Algebra and Fundamental Geometry. The first part of the course is designed to introduce students to the concepts and techniques of Algebra. Topics include algebraic operations, equations, polynomials, function concepts, basic topics from plane geometry and trigonometry of the right triangle. This course is designed to ensure that students are capable of satisfactorily completing challenging exercises and demonstrating that they are aware of math concepts essential to college-level learners. generic_c_m_syllabus_summer_2015, 2 (1)

ο Mat 010/ every semester for 4 years in a row (ASA College 3 cl hours, 0 cr, Remedial Mat Skills 2, 4 courses). This course provides students with a firm foundation in mathematics necessary to succeed in college level mathematics course. Upon completion of the course students will be able to: Apply Rules of Order of Operations with Real Numbers. Apply critical thinking skills to solve word problems. Evaluate Algebraic Expressions. Recognize and solve basic algebraic equations. Graph straight lines. Define slope of a line and intercepts, Solve and Graph Inequalities. Solve Systems of Linear Equations graphically and algebraically. generic_skills2_syllabus_spring_2015 completed (2)

ο MAT 005/ every semester for 4 years in a row (ASA College 3 cl hours, 0 credit) Upon completion of the course students will be able to: Perform operations with whole numbers and solve word problems involving area, perimeter, and volume of various shapes. Use the Rules for order of operations to simplify expressions. Calculate mean, median, mode for groups of data. Perform operations with fractions and decimals. Apply rules of ratios, unit pricing and proportions to solve word problems. Recognize the relationship between fractions, decimals and percents. Calculate different types of percent problems and applications. Apply the rules for signed numbers to solve mathematical problems. Solve basic algebraic equations. generic_skills1_syllabus_spring_2015 completed (1)