SCQF Level 6


40 hours over 6 months




  • Engineering

Why take this course?

This Unit is designed to develop or consolidate a basic level of mathematical skills required of learners across a range of Engineering disciplines.

The Unit provides learners with opportunities to develop knowledge, understanding and skills to solve mathematical problems including polynomial, trigonometrical, exponential and logarithmic functions. Learners will also be introduced to 3-dimensional vectors and complex numbers.

What you will experience

Learners will be expected to successfully complete each Outcome.

Outcome 1: Solve problems involving functions and trigonometric equations.

  • Properties of functions
  • Inverse functions
  • Composite Functions
  • Trigonometric equations

Outcome 2: Solve problems involving exponential and logarithmic equations.

  • Knowledge and/or Skills
  • Evaluation of logarithmic and exponential expressions
  • Transposition from logarithmic to exponential form and vice versa
  • Laws of logarithms
  • Graphics of logarithmic and exponential functions

Outcome 3: Apply mathematical techniques involving vectors and complex numbers.

  • Knowledge and/or Skills
  • Collinearity
  • Addition, subtraction and scalar multiplication of vectors
  • Scalar product
  • Conversion of complex numbers between rectangular and polar form
  • Addition and subtraction of complex numbers
  • Multiplication and division of complex numbers
  • Representation of complex numbers on an Argand Diagram