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Strand 5 Higher Level Functions and Calculus

Gain a better understanding of the concepts of function, differentiation calculus, Trapezoidal rule, and more.

Free Course
A function is defined as the relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. It will teach you about quadratic graphs, cubic graphs, and exponential graphs. You will learn how to plot graphs, sketch parabola, and translate functions. You will also look into differentiation calculus and integral calculus. This course is the final strand in Phase 3 of the new Project Maths Course.





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This course begins by teaching you how to plot quadratic graphs, reciprocal graphs, and exponential graphs from a table of values. You will learn how to match equations and sketches and look into the sketching of a parabola using completion of the square. Completing the square is the process where you change the form of the equation so that the left side is a perfect square trinomial. You will study the full method of completing the square, as well as learn about matching quadratic and exponential functions and graphs.

You will then look into the translation of functions using F(X-A). This course will teach you how to sketch functions in the X direction and in the Y-direction. You will study the discriminant, which is the part of the quadratic formula underneath the square root symbol b²-4ac and states whether there are two solutions, one solution, or no solutions to an equation. You will also cover inverse and bijective functions as well as differential calculus and integration calculus.

Functions and differentiation are used in real life to help us understand rates of increase and decrease. Upon the completion of this course, you will have a clearer understanding of the rules of differentiation, the basic integration of algebraic, trigonometrical, and exponential functions, the use of integration to find an area, and the Trapezoidal Rule. So, check out the course and easily learn the applications of calculus in the real world, today.

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Strand 5 Higher Level Functions and Calculus Assessment

Module 1: Functions

Module 2: Calculus - Differentiation

Module 3: Calculus - Integration

Learning Outcomes

Having completed this course students will be able to:

  • 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


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