Our topic based classes gives you understading on the topic and help you prepare for the exams.
Topics Covered
Exam based problem solving on proof by contradictions, Algebraic fractions, Partial fractions, Repeated factors, Algebraic divisions.
Topics Covered
Exam based problem solving on the modulus function, Functions and Graphs, Functions and Mappings, Composite functions, Inverse functions, y=If(x)I
and Inverse functions, y=f I(x)I, Combining transformation.
Topics Covered
Exam based problem solving on Radian Measure, Arc Length, Areas of sector and segments, solving trigonometric equations,
small angle approximation.Secant, cosecant, cotangent, Graphs of secx, cosecx, cotx, trigonometric identities, inverse trigonometric functions,
Topics Covered
Exam based problem solving on addition formula, using the angle addition formula, double angle formula,
solving trigonometric equations. Simplifying acosx ± b sinx, proving trigonometric identities, modelling with trigonometric functions.
Topics Covered
Exam based problem solving on Differentiating sinx and cosx, differentiating exponentials
and logarithm , the chain rule the product rule and the quotient rule. Differentiating
trigonometric functions, parametric differentiation, implicit differentiation, using second order derivates, rate of change.
Topics Covered
Exam based problem solving on integration standard functions, integrating f(ax+b), using trigonometric identities, reverse chain rule,
integration by substitution, integration by parts. Exam Style Questions Partial fraction, finding area,
trapezium rule solving differential equations, modelling with differential equations, integration as the limit of a sum.
Topics Covered
Exam based problem solving On Expanding (1+x)^n, Expanding (a+bx)^n, using partial fractions.
Topics Covered
Exam based problem solving Arithmetic sequence & series, Geometric
sequence and series, Sum of infinity, sigma notation, recurrence relations, modelling with series.
Topics Covered
Exam based problem solving Parametric equations, Using trigonometric identities, Curve sketching,
points of intersection, Modelling with parametric equations.
Topics Covered
Exam based problem solving onLocating roots,
iteration, The Newton-Raphson Methods,
Application to modelling.
Topics Covered
Exam based problem solving 2D and 3D coordinates, Vectors in 2D & 3D,
solving geometric problems, application to mechanics.