Informative Math lessons with problem solving and interactive focus on maths learning concepts and all .

The Student and Tutor covered various topics in mathematics, including sequences (sums of powers, recurrence relations) and functions (derivatives, properties of roots, and relationships between coefficients). They practiced solving problems from a past examination paper. The Student was assigned homework to complete the remaining parts of the paper and practice similar questions.

The session focused on core concepts in logarithms and derivatives. The Student and Tutor reviewed logarithm properties, practiced simplifying complex log expressions, and solved logarithmic equations including one that resulted in a quadratic equation. Towards the end, they began learning derivatives of exponential functions using the chain rule, with plans to continue practicing differentiation in the next class.

Student and Tutor collaborated on a mathematics assignment focused on designing a railway track using piecewise functions, requiring the integration of exponential, logarithmic, and trigonometric functions with specific start and end points. They discussed a general equation structure to meet these requirements and verified its ability to satisfy the boundary conditions. The Tutor will prepare a Desmos graph for review, and the Student was encouraged to practice inputting piecewise functions.

The Student and Tutor focused on IB Mathematics HL, covering topics in calculus and trigonometry. They practiced identifying intervals where functions are increasing or decreasing, applied the chain rule and product rule for differentiation, and calculated the gradient of a curve. Future sessions will incorporate past paper questions and address specific trigonometry diagram problems, guided by the Student's syllabus.

The Student and Tutor engaged in a comprehensive review of key Mathematics concepts, including trigonometric identities, sum/difference and double angle formulas, and various aspects of complex numbers. They practiced simplifying expressions, converting between Cartesian and polar forms, factorizing complex quadratics, and graphically representing complex number addition. The Tutor advised the Student to continue practicing in preparation for their upcoming exam.

The Student and Tutor dedicated the session to preparing for a specialist mathematics exam. They practiced solving absolute value equations and various trigonometric equations, focusing on finding exact values within specified ranges. Additionally, they worked on simplifying and proving trigonometric identities. For the next session, they plan to cover compound angle formulas for trigonometry, additional modulus questions, complex numbers, and graph sketching.