Further Mathematics — A-Level

1

Complex Numbers: Introduction and Basic Operations

Students will learn about complex numbers, including representation in a+bi form. Key operations such as addition, subtraction, multiplication, and division will be covered, with real-world applications highlighted.

🔒

2

Complex Numbers: Argand Diagram and Polar Form

This lesson introduces the Argand diagram and the conversion of complex numbers to polar form. Students will learn to plot complex numbers and understand their geometric interpretations.

🔒

3

Complex Numbers: De Moivre's Theorem

Students will explore De Moivre's Theorem and its applications in finding powers and roots of complex numbers. Examples include solving polynomial equations with complex solutions.

🔒

4

Vectors: Introduction and Basic Concepts

An introduction to vectors, focusing on representation, addition, subtraction, and scalar multiplication. Students will learn to apply vectors in geometrical contexts.

🔒

5

Vectors: Dot Product and Applications

The lesson covers the dot product of vectors and its applications. Students will learn to calculate angles between vectors and apply these concepts to solve practical problems.

🔒

6

Matrices: Introduction and Basic Operations

Students will learn about matrices, their types, and operations including addition, subtraction, and multiplication. Zimbabwean context includes using matrices to solve practical systems.

🔒

7

Matrices: Determinants and Inverses

This lesson focuses on finding determinants and inverses of matrices. Students will solve linear equations using matrix inversion, with examples relevant to Zimbabwean contexts.

🔒

8

Calculus: Differentiation Techniques

Students will learn various differentiation techniques, including the product, quotient, and chain rules. Applications in finding gradients and optimizing functions will be explored.

🔒

9

Calculus: Integration Techniques

An exploration of integration techniques such as substitution and integration by parts. Students will apply these to calculate areas under curves, with practical applications.

🔒

10

Calculus: Differential Equations

Students will learn to solve first-order differential equations using separation of variables and integrating factors. Applications include modeling real-world phenomena in Zimbabwe.

🔒

11

Mechanics: Kinematics

An introduction to kinematics, focusing on equations of motion with constant acceleration. Students will apply these principles to solve problems involving moving objects.

🔒

12

Mechanics: Dynamics and Forces

Students will explore dynamics, focusing on Newton's laws of motion and force diagrams. Practical applications include understanding forces in everyday Zimbabwean contexts.

🔒

13

Mechanics: Energy and Power

This lesson covers the concepts of work, energy, and power. Students will learn to calculate kinetic and potential energy and apply conservation of energy principles.

🔒

14

Statistics: Probability Theory

Students will explore probability theory, including probability distributions and expected value. Applications include predicting outcomes in real-world scenarios.

🔒

15

Statistics: Descriptive Statistics

An exploration of descriptive statistics, focusing on measures of central tendency and dispersion. Students will analyze data sets to extract meaningful information.

🔒

16

Statistics: Inferential Statistics

Students will learn about inferential statistics, including hypothesis testing and confidence intervals. Applications include making predictions based on sample data.

🔒

17

Statistics: Correlation and Regression

This lesson covers correlation and regression analysis, teaching students to interpret relationships between variables and predict outcomes using regression models.

🔒

18

Numerical Methods: Root-Finding Techniques

Students will explore numerical methods for finding roots of equations, including the bisection method and Newton-Raphson method, with practical applications.

🔒

19

Numerical Methods: Numerical Integration

This lesson covers numerical integration techniques, including the trapezoidal rule and Simpson's rule. Students will apply these to approximate areas under curves.

🔒

20

Numerical Methods: Differential Equations

Students will learn numerical methods for solving differential equations, such as Euler's method and Runge-Kutta methods, with applications in modeling real-world phenomena.

🔒

Further Mathematics — A-Level

Course Content

About the Teacher

Course Details

Browse by Subject

Student Reviews