Master AP Calculus AB & BC , Precalculus and Statistics with Personalized Coaching, Concept Clarity, and Proven Exam Strategies

The tutor introduced set theory and its application using Venn diagrams and mathematical notation. They worked through examples involving subject choices and item ownership, practicing the Principle of Inclusion-Exclusion and methods for calculating intersections and unions. The student was assigned practice problems to reinforce these concepts.

The class covered mathematical concepts including function properties (f(x*y) = f(x) + f(y)), setting up and solving algebraic equations from word problems (ages, sums/differences), simplifying expressions using exponent and algebraic identities, and solving systems of linear and quadratic equations. The student practiced these concepts through various problem-solving examples.

The Tutor and Student explored the topic of inequalities, differentiating between linear and quadratic types. They practiced solving both algebraic equations and inequalities, focusing on the rules for manipulating inequalities, especially when dealing with negative numbers and quadratic expressions. The session concluded with a discussion on identifying finite versus infinite solution sets for various inequality types.

The Student and Tutor worked on GMAT quantitative reasoning problems, focusing on algebra and number properties. They practiced solving Diophantine-like equations and reviewed definitions of number types, including primes, composites, and rationals/irrationals. The session concluded with an introduction to inequalities, and the Student was encouraged to practice the concepts covered.

Student and Tutor reviewed and practiced solving systems of linear equations, including those with fractions, and applied these methods to several GMAT quantitative reasoning word problems. The session also covered the GMAT exam format, adaptive scoring, and the syllabus for the quantitative reasoning section. The Tutor assigned a sample GMAT paper for the Student to attempt, focusing on accuracy and identifying areas for further practice.

The Student and Tutor reviewed basic algebraic concepts essential for GMAT quantitative reasoning. They practiced forming systems of linear equations from various word problems, including those involving numbers, angles, costs, and fractions. The session also focused on solving these systems using the elimination method. The Student was advised to continue practicing these foundational concepts as the class will soon transition to the official GMAT syllabus.