Mathematics Tutor Specializing in Algebra, Calculus, and Exam Coaching

The Student and Tutor focused on practicing the order of operations using the PEMDAS rule. They worked through various multi-step mathematical problems and engaged in an online game to reinforce concepts. The session concluded with a note that the Student needs further practice with negative numbers in expressions.

Student and Tutor worked through various GMAT Quantitative Reasoning problems, including percentages, graph intersections, algebraic identities, mean and median calculations, solving reciprocal equations, and finding factors for perfect cubes. The Student actively participated in solving problems and discussing methodologies. They also planned to cover conditional probability, speed, average speed, distance, and time problems in the upcoming session.

The Student and Tutor initially addressed solving polynomials graphically using Desmos, where the Tutor showed how to input equations and round solutions. The session then transitioned to focusing entirely on polynomial long division, practicing various examples including those with missing terms and non-unit coefficients, and discussing how to express answers with remainders. The Tutor stressed careful attention to signs and term alignment in long division.

The Student and Tutor conducted a comprehensive review session covering various Calculus topics in preparation for an upcoming exam. They focused on total distance traveled using derivatives, horizontal and vertical tangent lines, derivatives of inverse trigonometric functions, and several types of related rates problems including spheres, ladders, cars, and inverted cones. The Student needs to continue practicing these concepts, especially related rates, and will have another session next week.

The session covered various quantitative reasoning topics, including exponents, algebraic simplification, ratios, work and time, and finding the median from a frequency table. The Student actively solved problems and reviewed foundational concepts, with the Tutor providing guidance on unfamiliar topics and problem-solving strategies. The next session will focus on the distance, speed, and time concept, which the Student identified as a particular area of difficulty.

Student and Tutor focused on mastering 'related rates' problems, a key topic in calculus. They reviewed the fundamental concept of differentiating with respect to time and practiced solving various word problems involving geometric shapes like circles, spheres, ladders, and cylinders. The session also touched on the necessity of recalling relevant formulas and interpreting problem statements correctly for exam preparation.