Motivational Calculus lessons with practical support

The Student and Tutor reviewed a practice test worksheet focusing on Algebra concepts. They worked through problems involving quadratic transformations, finding maximum/minimum values of parabolas, completing the square, the discriminant, and solving quadratic equations using the quadratic formula, including those with complex roots. The Tutor will email a mathematics book or related video materials to the Student for further practice.

The Student and Tutor worked through several problems covering definite improper integrals using u-substitution and the evaluation of multivariable functions in various contexts. They practiced direct substitution for given functions, calculated compound interest, and formulated and evaluated revenue and cost functions for business scenarios.

The Student and Tutor focused on various methods of factoring quadratic equations, including the quadratic formula and middle term splitting, especially for cases where the leading coefficient is not one. They also practiced applying the zero-product property to find solutions and learned how to determine intervals where a quadratic expression is positive. The Tutor recommended scheduling two classes a week for more practice due to the topic's difficulty and upcoming exams.

The Tutor and Student worked extensively on solving quadratic equations using the middle term splitting method. They practiced factoring, finding roots, determining intervals for negative function values, and deriving quadratic equations from given intercepts and points, with a plan for the student to practice more problems independently.

The Student and Tutor worked through various algebra problems, covering simplification of expressions, combining like terms, the distributive property, solving equations, and setting up algebraic equations from word problems. The session included practice with percentage calculations and equation manipulation.

The Tutor and Student practiced solving mathematical expressions using the BEDMAS order of operations and reviewed the properties of integers. The student was encouraged to practice these concepts and avoid using a calculator for calculations.