Mathematics Tutor - Specializing in Algebra, Calculus, Trigonometry

Ambica and Shreyan reviewed quadratic equations, cubic functions, polynomial functions, and break-even points. Shreyan practiced solving problems related to these topics, including sketching graphs and finding zeros of polynomial functions. Ambica will provide a solution to a past paper question on maximum weekly profit for Shreyan to review.

Ambica and Dannah reviewed a challenging bearings question involving angles of elevation and then transitioned to probability, covering basic definitions, relative frequency, addition rule, complementary events, and the product rule. Dannah worked through practice problems and made notes on the concepts. They planned to continue with tree diagrams and conditional probability in the next session.

Ambica and Shreyan reviewed linear equations, quadratic functions, and the discriminant. Shreyan practiced finding equations, sketching parabolas, and determining the nature of roots using the discriminant. They discussed the upcoming topics of cubic and polynomial functions for the next session, with a possible rescheduling to Wednesday.

Ambica and Dannah covered introductory calculus topics, including gradients, tangents, and basic differentiation techniques. Dannah practiced finding derivatives of various functions, including polynomials and expressions with fractional exponents. Ambica assigned practice problems from the textbook, focusing on simplifying expressions before differentiation, and they agreed to continue with the remaining exercises in the next session.

Ambica and Shreyan reviewed functions, including even/odd functions, domain/range, and linear equations. Shreyan practiced problems related to finding domains, ranges, intercepts, and gradients, and also worked on forming linear equations from word problems. Ambica assigned practice problems from the textbook and will send the book PDF to Shreyan.

Ambica and Dannah practiced polynomial problems, including finding the degree and zeros of polynomials, using the discriminant, and graphing. Dannah worked on identifying real roots and determining polynomial shapes. They also covered simultaneous equations to find intersection points, and Ambica assigned practice problems for the next session, which will cover functions.