You will learn the following during your studies:
Pure mathematics
You will gain an understanding of mathematical proofs, algebra and functions, and coordinate geometry. In addition to exponentials and logarithms, you will also examine some real-life situations that can be modelled exponentially.
Trigonometry and trigonometric functions, such as sine, cosine, and tangent, will be covered in this course. Following this, we will examine differentiation, which is a method for determining how one variable changes in relation to another.
As you progress, you will gain an understanding of the difference between mappings and functions, their domains and ranges, as well as graph translations. Following the study of partial fractions, you will examine the trigonometric functions of sin, cos, and tan, as well as the addition and double-angle formulas. Lastly, you will study series and sequences, including arithmetic and geometric sequences.
This lesson will demonstrate how to find points of inflection on a graph and how to differentiate a function. Further, you will study the rules of differentiation and integration as well as parametric equations, in which x and y are combined with another variable.
Mechanics
You will discover that mathematical quantities have an associated direction. The next step will be to examine constant acceleration motion, gaining an understanding of the formulae involved. By studying Newton's first and second laws, you will explain why motion or acceleration occurs.
You will also develop your understanding of acceleration equations and apply differentiation and integration appropriately. Moving on, you’ll explore forces and equilibrium, Newton’s laws of motion and consider moments in equilibrium.
Statistics
we will examine populations and sampling, as well as represent data, averages, dispersion, correlation, and regression. After solving probability problems and applying them to diagrams such as two-way tables, you will examine the laws of probability in more depth. You’ll then examine probability distribution, which refers to how probabilities are spread out across an event and hypothesis tests for binomial distribution.
You will be guided through the process of calculating the equation of a line of regression, learning about rank correlation, as well as conducting hypothesis tests. We will then explore probability, using Venn and Tree Diagrams to understand the probabilities of event that are conditional.
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