Countdown to Christmas! Holiday Programmes at Harrow Bangkok IAL Mathematics: Franziska Adams This course is designed for advanced level students to cover a wide range of skills, primarily focusing on Core 12, Core 34, Mechanics and Statistics. Students from Y12 and Y13 should apply but advanced Y11 students may also wish to attend, subject to experience. Key examination strategies and good practice will be developed and students can elect to study the courses with which they require the most support. With experienced and qualified educators, this will be a popular course for those seeking to improve their examination results. Schedule P1 (80 mins) Monday Tuesday Wednesday Thursday Friday C12 Algebra and Functions – manipulating with surds and indices, algebraic fractions C12 Laws of Logarithm C34 Simpliﬁcation of rational expressions. Algebraic division and partial fractions C34 Parametric Equations (parametric and Cartesian form) forming and solving, sketching and application of calculus C34 Numerical methods – location of roots and ﬁnding intersections, trapezium rule C34 C34 Vectors – vectors in 2D and 3D, magnitude and position vector, algebraic operations of vector addition and multiplication of scalars and their geometrical interpretations C34 Integration of standard functions, rational functions using integration by parts, substitution and reverse processes, ﬁnding the volume of revolution Past Paper review and individual problem class P2 (80 mins) C12 Equation of lines circles – ﬁnding an equation, normal and tangents to line and circles. P3 (80 mins) C12 Sequences and Series – nth term, the sum of an arithmetic series using sigma notation, Geometric Sequences and Series – sum to inﬁnity and binomial expansion Manipulating and solving equations with logarithm C12 Trigonometry Sine and cosine rule Radiant measure including the use of arc length and area of sector, and the sine, cosine and tangent function as well as basic solving of equations C12 Diﬀerentiation and Integration – application and use of the second derivative as well as evaluating deﬁnite integrals and approximation of the area under a curve. C34 Functions – domain, range, inverse, composite The modulus function Composite functions C12/C34 Combinations of the graph transformations – sketching graphs Diﬀerentiation of complex functions = lnx, sinx, cos x etc