Experienced Mathematics Tutor making Math simple and engaging while boosting their confidence

The tutor and student reviewed topics related to radicals and real numbers, including simplifying square and cube roots. They then focused on solving various types of linear equations, practicing multi-step problems and algebraic manipulations. The next session will likely cover the substitution method for solving systems of linear equations.

The student and tutor worked through various problems involving systems of linear equations. They reviewed methods for solving these systems, including elimination, substitution, and graphical interpretation, practicing algebraic techniques and integer operations. The tutor suggested reviewing integer operations in the next session based on observed difficulties and will ask the student to provide upcoming topics from their classes.

The tutor and student reviewed trigonometric identities, including the difference of squares and Pythagorean identities. They then delved into finding polynomials from their zeros, applying the Complex Conjugate Root Theorem and practicing polynomial multiplication. Finally, they worked on calculating the difference quotient for rational functions, which involved algebraic simplification and understanding function notation. The session concluded with well wishes for the student's upcoming exam and graduation.

The Tutor and Student reviewed trigonometric identities including reciprocal, quotient, and Pythagorean identities. They practiced simplifying trigonometric expressions by rewriting them in terms of sine and cosine and applying algebraic manipulations and identities. The session involved working through multiple practice problems.

The Tutor and Student worked through problems involving double angle trigonometric identities and indefinite integrals using trigonometric substitution. The Student practiced applying these identities and methods to solve specific mathematical problems, and they discussed the steps for converting the final integral solution back into terms of the original variable.

The Tutor and Student reviewed trigonometric graphs, focusing on the properties of sine, cosine, and tangent functions, including their periods and asymptotes. They practiced graphing the tangent function and derived trigonometric identities, specifically expressing secant in terms of sine and cosine in a given quadrant. The session also included solving a right triangle problem using SOHCAHTOA, converting radians to degrees, and finding missing angles.