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The session covered solving logarithmic equations using properties and the quadratic formula, including interpreting positive solutions. It also introduced the concept of critical points by differentiating a function and analyzing where the derivative is zero or undefined. Recognizing the Student's difficulties with advanced calculus concepts, the Tutor decided to postpone Chapter 7 and 8 for now, and plans to focus on easier chapters (Chapter 4 or 5) in the next session while recommending the Student practice Chapters 3 and 6.

The Student and Tutor focused on practicing first and second-order partial derivatives for various functions. They reviewed differentiation rules, including the power rule, product rule, and derivatives of specific function types like 1/x^n and e^x. The Tutor plans to provide a worksheet for additional practice on these concepts as homework.

The Student and Tutor reviewed advanced differentiation techniques, focusing on the quotient rule, product rule, chain rule, and derivatives of exponential and logarithmic functions. They worked through a series of practice problems from chapter 6, including simplifying expressions using logarithm properties before differentiation. For homework, the Student will complete practice questions from chapters 3 and 6, and the next session will cover concave up/down concepts (chapter 8) and matrices (chapter 4).

The Student and Tutor extensively reviewed and practiced fundamental logarithm properties and various derivative rules, including the power rule, chain rule, and derivatives of logarithmic functions. They also applied the product rule for differentiation and worked on algebraic simplification techniques. The next session will cover the quotient rule and assignment questions.

The student and Tutor focused on practicing differentiation techniques, specifically covering rules for logarithmic functions, the quotient rule, the product rule, and exponential functions. They applied these rules to various problems from a worksheet and reviewed key logarithmic properties to simplify expressions before differentiation. The student was assigned to practice the covered questions, and future sessions will delve into log properties, concave up/down, and linear algebra.

The Student and Tutor reviewed definite integration through several practice problems before moving on to an introduction to partial differential equations. They extensively practiced calculating first-order partial derivatives, focusing on treating other variables as constants. The Student's homework is to complete the first question from a worksheet on partial differential equations, which involves finding first-order partial derivatives for each part.