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Project Maths - Higher Level

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Project Maths - Higher Level
  • Description
  • Outcome
  • Certification
  • This course is for students interested in studying the Project Maths Higher Level Course in its entirety. This course provides students with videos on all the Higher Level topics in one location listed by module and topic. In addition, a comprehensive assessment is provided which tests learners on the entire content of the Project Maths Higher Level Syllabus. These topics include Probability and Statistics, Geometry and Trigonometry, Numbers and Shapes, Algebra, Functions and Calculus.

  • 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

  • All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.

    Having an official Alison document is a great way to celebrate and share your success. It is:

    • Ideal to include with CVs, job applications and portfolios
    • A way to show your ability to learn and achieve high results

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