Project Maths - Higher Level

Learning Outcomes

Having completed this course students will be able to:
Describe the concepts of probability
Understand outcomes of random processes
Describe statistical reasoning with an aim to becoming a statistically aware consumer
Find, collect and organise data
Represent data graphically and numerically
Analyse, interpret and draw inferences from data
Develop synthesis and problem-solving skills
Determine the slope of a line given it’s equation
Find the equation of a line perpendicular to a given line and passing through a given point
Compute the angle between two given lines
Determine the equation of a circle having a given centre and radius
Find the equation of a tangent to a given circle at a specified point
Find distance and angle using Sine and Cosine Rules
Find length of an arc and area of a sector using circular measure
Solve the trigonometrical equations sin(x) = r and cos(x) = r in general form
Determine the sum of an arithmetic series
Determine the sum of a geometric series
Work out the repayment on a loan
Work out the future value of an investment
Represent a complex number in polar form
Use De-Moivres Theorem to simplify an expansion
Solve linear simultaneous equations with 3 unknowns
Factorise expressions of order 2 and 3
Search for roots of cubic equations and solve them
Solve one linear equation and one equation of order 2 with two unknowns
Solve basic inequalities
Solve inequalities involving fractions
Basic Differentiation of functions (including trig, exp and log)
The rules of differentiation (product rule, quotient rule, chain rule)
Determine the local maxima and local minima turning points of a curve
Understand rate of change of distance, area and volume
Understand the meaning of ‘anti-derivative’ and Indefinite Integration
Basic Integration of algebraic functions
Basic Integration of Trigonometrical and Exponential functions
How to use integration to find an area and use of the Trapezoidal Rule