Further Pure Mathematics - Edexcel
কোর্স ইন্সট্রাক্টর
কোর্সটি করে যা শিখবেন
- Demonstrate a confident knowledge of the techniques of pure mathematics required in the specification
- Apply a knowledge of mathematics to the solutions of problems for which an immediate method of solution is not available and which may involve knowledge of more than one topic in the specification
- Write clear and accurate mathematical solutions.
ক্লাস রুটিন
ডাউনলোড রুটিন| Modules | Lessons | Key Exercises |
|---|---|---|
| Module 1: Logarithmic functions and indices |
• The functions ax and logbx |
TBA |
| Module 2: The quadratic function | • The manipulation of quadratic expressions • The roots of a quadratic equation • Simple examples involving functions of the roots of a quadratic equation |
TBA |
| Module 3: Identities and inequalities |
• Simple algebraic division |
TBA |
| Module 4: Graphs | • Graphs of polynomials and rational functions with linear denominators • The solution of equations and transcendental functions by graphical methods |
TBA |
| Module 5: Series | • Use of the SUM notation • Arithmetic and geometric series |
TBA |
| Module 6: The binomial series | • Use of the binomial series (1 + x)n | TBA |
| Module 7: Scalar and vector quantities | • The addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar • Components and resolved parts of a vector • Magnitude of a vector • Position vector • Unit vector • Use of vectors to establish simple properties of geometrical figures |
TBA |
| Module 8: Rectangular Cartesian coordinates | • The distance between two points • The point dividing a line in a given ratio • Gradient of a straight line joining two points • The straight line and its equation • The condition for two lines to be parallel or to be perpendicular |
TBA |
| Module 9: Calculus | • Differentiation and integration of sums of multiples of powers of x • Differentiation of a product, quotient and simple cases of a function of a function • Applications to simple linear kinematics and to determination of areas and volumes • Stationary points and turning points • Maxima and minima • The equations of tangents and normals to the curve y = f(x) • Application of calculus to rates of change and connected rates of change |
TBA |
| Module 10: Trigonometry | • Radian measure, including use for arc length and area of sector • The three basic trigonometric ratios of angles of any magnitude and their graphs • Applications to simple problems in two or three dimensions • Use of the sine and cosine formulae • The identity Cos20 + Sin20 = 1 • Use of the identity Tan0 = Sin0/Cos0 • The use of the basic addition formulae of trigonometry • Solution of simple trigonometric equations for a given interval • Using simple conditional probability for combined events • Using very simple conditional probability |
TBA |