Edexcel OLevel Pure Math Revision Note & Solutions
Discover the "Edexcel OLevel Pure Math Revision Notes & Solutions" course. Our comprehensive notes cover essential topics in Pure Mathematics, including algebra...
Discover the "Edexcel OLevel Pure Math Revision Notes & Solutions" course. Our comprehensive notes cover essential topics in Pure Mathematics, including algebra...
Welcome to "Edexcel OLevel Pure Math Revision Notes & Solutions". This course is designed to help students excel in their Edexcel OLevel Pure Mathematics exams. Our comprehensive revision notes cover all topics required for the Pure Mathematics syllabus, providing a strong foundation and ensuring you are well-prepared for your exams.
Comprehensive Coverage: Our notes cover all essential topics in Pure Mathematics, ensuring you have a robust understanding of the subject. From algebra and geometry to calculus and vectors, our notes cover it all.
Clear Explanations: Our notes are written in clear and concise language, making complex concepts easy to understand.
Worked Examples: Each topic includes worked examples to help you understand the application of mathematical concepts.
Practice Questions: Our notes include a variety of practice questions to help you test your understanding and prepare for exams.
Interactive Content: Engaging content such as diagrams, charts, and flowcharts to visually represent concepts, making learning more effective.
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Lesson-3.1.1- Simple algebraic division.
Lesson-3.1.2- The factor and remainder theorems.
Lesson-3.1.3- Solutions of equations, extended to include the simultaneous solution of one linear and one quadratic equation in two variables.
Lesson-3.1.4- Simple inequalities, linear and quadratic.
Lesson-3.1.5- The graphical representation of linear inequalities in two variables.
Lesson-5.1.1- Use of the ∑ notation
Lesson-5.1.2- Knowledge of the general term of an arithmetic series is required.
Lesson-5.1.3- Use of the sum to n terms of an arithmetic series is required.
Lesson-5.1.4- Knowledge of the general term of a geometric series is required.
Lesson-5.1.5- Use of the sum to n terms of a finite geometric series is required.
Lesson-5.1.6- Use of the sum to infinity of a convergent geometric series, including the use of r < 1 is required.
Lesson-5.1.7- Proofs of the above are not required.
Lesson-7.1.1- The addition and subtraction of coplanar vectors and the multiplication of a vector by a scalar.
Lesson-7.1.2- Components and resolved parts of a vector.
Lesson-7.1.3- Magnitude of a vector.
Lesson-7.1.4- Position vector.
Lesson-7.1.5- Unit vector.
Lesson-7.1.6- Use of vectors to establish simple properties of geometrical figures.
Lesson-9.1.1- Differentiation and integration of sums of multiples of powers of x (excluding integration of 1 x ),sin ,cos ,e^ax
Lesson-9.1.2- Differentiation of a product, quotient and simple cases of a function of a function.
Lesson-9.1.3- Applications to simple linear kinematics and to determination of areas and volumes.
Lesson-9.1.4- Stationary points and turning points.
Lesson-9.1.5- Maxima and Minima
Lesson-9.1.6- The equations of tangents and normals to the curve y = f(x).
Lesson-9.1.7- Application of calculus to rates of change and connected rates of change.
Lesson-10.1.1- Radian measure, including use for arc length and area of sector.
Lesson-10.1.2- The three basic trigonometric ratios of angles of any magnitude (in degrees or radians) and their graphs.
Lesson-10.1.3- Applications to simple problems in two or three dimensions (including angles between a line and a plane and between two planes).
Lesson-10.1.4- Use of the sine and cosine formulae.
Lesson-10.1.5- The identity cos ^2 θ+sin^2 θ = 1
Lesson-10.1.6- Use of the identity tanθ = sinθ/cosθ
Lesson-10.1.7- Formal proofs of sin(A + B), cos(A + B) formulae will not be required.
Lesson-10.1.8- Questions using the formulae for sin(A + B), cos(A + B), tan(A + B) may be set; the formulae will be on the formula sheet, for example: sin(A + B) = sinAcosB + cosAsinB
Lesson-10.1.9- Long questions, explicitly involving excessive manipulation, will not be set.
Lesson-10.1.10- Solution of simple trigonometric equations for a given interval.