Master Mathematics with Concept Clarity, Smart Tricks, Vedic Maths & Personalized Learning

The Student and Tutor reviewed trigonometric functions, focusing on determining quadrants based on function signs and calculating all six trigonometric functions from given information. They also practiced solving trigonometric equations for two solutions in both degrees and radians and calculated reference angles for various angle measures, including negative angles and radian values without pi.

The Tutor and Student reviewed SAT Math concepts, focusing on linear equations, word problems, types of solutions, equations with fractions, and absolute values. They also began an introduction to functions, discussing rules for determining domains of rational, square root, and logarithmic functions. The Student expressed a desire to cover more calculus-based questions in future sessions.

Student and Tutor reviewed key concepts related to exponential and logarithmic functions. They worked through identifying properties like increasing/decreasing behavior, asymptotes, and intercepts of exponential graphs, along with understanding graph transformations. The session also covered applying formulas for compound interest and half-life problems, evaluating and solving logarithmic equations, simplifying logarithmic expressions, and determining the domain of logarithmic functions.

Student and Tutor had a detailed session on understanding and identifying various types of asymptotes (vertical, horizontal, and slant) in rational functions. They also reviewed how to find holes, x-intercepts, y-intercepts, and determine the domain and range of these functions. Additionally, they practiced simplifying and performing multiplication and addition operations on rational expressions.

The Student and Tutor worked on simplifying products and quotients of rational algebraic expressions, applying exponent rules and factoring techniques. They then moved on to solving equations involving rational expressions and began an introduction to rational functions, discussing domain, range, asymptotes, and holes in preparation for the Student's upcoming class. The next session is planned to delve deeper into graphing rational functions.

The Student and Tutor reviewed several key concepts in polynomial algebra, including verifying factors using the Factor Theorem, applying Descartes' Rule of Signs, and listing possible rational zeros using the Rational Zero Theorem. They practiced finding real zeros by using substitution and synthetic division, and also covered the basics of imaginary numbers and writing complex expressions in standard form. The next session's scheduling was briefly discussed.