Courses Offered at Math Academy – Math Academy Tutoring

1. Courses Offered at Math Academy – Math Academy Tutoring The following is a comprehensive list of high school, college & Graduate courses in math offered at Math Academy. You can also send (math tutoring online) us a custom inquiry. Arithmetic Fundamentals of arithmetic. Fractions, decimals, percents, signed numbers, ratios, proportions and rates, word problems. Pre-Algebra Review of fundamentals of elementary Algebra. Focus on mathematical translation of verbal statements. Algebra I Operations with polynomials, rational and square root expressions, exponents, solving and understanding linear and quadratic equations, basic applications and graphing. Algebra II Absolute value equations, inequalities, and their graphs, radical expressions, rational exponents, quadratic equations and inequalities, logarithms, introduction to functions, and topics in analytic geometry. Geometry I Introduction to Geometry. Lines, angles, triangles, congruent triangles, parallel lines, distances and angle sums. Parallelograms, trapezoids, medians, and midpoints. Methods of proof. Geometry II The geometry of the circle, similarity, areas, regular polygons, locus, inequalities and indirect reasoning, transformations, constructions, improvement of reasoning, proof of important theorems.

2. Geometry III (Stereometry – 3-Dimensional Geometry) The geometry of the three-dimensional plane, vectors, solids, functions and their graphs, proofs. Algebra II Absolute value equations, inequalities, and their graphs, radical expressions, rational exponents, quadratic equations and inequalities, logarithms, introduction to functions, and topics in analytic geometry. Advanced Elementary Geometry This course covers everything in Geometry I, II, III, from an advanced standpoint. More attention is given to proofs. This course is taken by our Math Club students to prepare for the Mathematics Competitions and Olympiads. Preparation for the Math Competitions/ Olympiads This course, which is held at the Math (online math tutoring) Club prepares students for the Math Competitions or Olympiads. Various topics from advanced elementary mathematics are covered. Special attention is given to problem solving, proofs, and non standard approaches to solving problems. Trigonometry Introduction to the fundamental ideas in Trigonometry. The main trigonometric identity. New York State Math A Regents New York State Math B Regents Pre-Calculus Functions and their graphs: polynomial, rational, exponential, logarithmic and trigonometric functions; conic sections; topics in trigonometry; graphical and analytical solutions of systems of equations and inequalities, trigonometric forms of a Complex number and DeMovire’s Theorem; sequences and series. Calculus AB

3. Limits, continuity, and differentiation of algebraic functions. Applications of differentiation; exponential, logarithmic, and trigonometric functions and their derivatives; optimization problems, the definite integral and the fundamental theorem of calculus. Application of the integral. The Riemann sum, Intermediate Value Theorem, Mean Value Theorem, L’Hospital’s rule and more. Calculus BC Theoretical treatments and Applications of Definite Integrals. Techniques of Integration. Infinite sequences and series and convergence and divergence of series. Taylor Series and polynomial Approximations. Line integrals. Parametric equations and polar coordinates. Elementary differential equations. Basic proof methods.