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The Tutor and Student worked through various algebra problems covering simplifying expressions, factoring different types of polynomials (GCF, trinomials, difference of squares), and simplifying rational expressions. A key focus was on identifying restrictions for rational expressions to avoid a zero denominator. The Student practiced these concepts by solving several example problems and correcting common algebraic errors.

The Student and Tutor reviewed advanced calculus techniques, including the epsilon-delta proof, the Squeeze Theorem, and the use of polar coordinates for evaluating limits. They also began a new topic on partial derivatives, practicing how to differentiate multivariable functions with respect to one variable while treating others as constants. The next session is planned to continue with partial derivatives.

The Student and Tutor continued their study of polynomial functions, covering methods for graphing, identifying standard form, degree, and leading coefficients. They also practiced evaluating functions, determining end behavior from equations and graphs, and expanding binomials raised to the third power. The next session will focus on adding and subtracting polynomial functions.

The Student and Tutor focused on polynomial functions. They practiced simplifying, adding, subtracting, and evaluating polynomial expressions, including applying these skills to word problems. The session also introduced the basics of graphing polynomials, covering standard form, degree, leading coefficients, and end behavior. They agreed to continue with graphing polynomials in the next session, which will also be at a new time.

The Student and Tutor dedicated the session to learning and practicing the addition and subtraction of decimals. They reviewed decimal definitions, mastered the "golden rules" for operations, and solved numerous problems. The next session is scheduled to cover multiplying and dividing decimals.

The session focused on evaluating limits and determining the continuity of multivariable functions. The Student and Tutor practiced various methods, including direct substitution, path-dependent limits, and applying the formal delta-epsilon definition. They also identified restrictions for continuity in different types of functions and planned to proceed with chapter 13.3 in the next session.