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Maths course for Year in Industry participants

MEI is pleased to offer Year in Industry students a course covering selected topics from A level Mathematics and Further Mathematics that are relevant to maths and maths-related courses in higher education.

What is this course?

The course is designed to enable participants to consolidate and develop maths skills whilst they spend a year in industry prior to university entry.

Course participants are supported in their independent study via a forum that is moderated by a tutor. To successfully complete the course, participants must complete on-screen tests taken by the middle of each month throughout the course. Extensive notes and exercises with worked solutions are provided to prepare for the on-screen tests.

Certificates will be provided to those who complete the course.

When does it take place?

Applications will open on Monday 2 October, 2023.

The course will run from Monday 6 November 2023 to Sunday 16 June 2024.

Access to the resources are for your personal use only and will be available until 30 July 2024.

How much does it cost?

Course fees are £90 per participant.

What topics are covered?

  • Introduction to matrices
  • Matrices and transformations
  • 2×2 determinants and inverse matrices
  • 2×2 matrices and simultaneous equations
  • The determinant of a 3×3 matrix
  • Eigenvalues and eigenvectors

  • Introduction to Differentiation
  • Maximum and minimum points
  • Extending to negative and fractional powers
  • Higher derivatives
  • Differentiation of exponentials and logarithms
  • Differentiation of trigonometric functions
  • Differentiating products and quotients
  • The chain rule
  • Implicit differentiation
  • Parametric differentiation
  • Inverse trigonometric functions

  • Introduction to vectors
  • Vectors in 3D
  • The scalar product
  • Equations of lines
  • Equations of planes
  • The vector product
  • Intersecting planes and lines
  • Calculating distances
  • Scalar triple product

  • Introduction to integration
  • The area bounded by a curve
  • Further integration
  • More about area
  • Integration by substitution
  • Further techniques
  • Integration by parts

  • Functions of more than one variable
  • Partial differentiation
  • Applications of partial differentiation
  • Functions of two variables

  • Introduction to complex numbers
  • The Argand diagram
  • Modulus and argument
  • Loci in the complex plane
  • De Moivre’s theorem and complex exponents
  • Complex roots and geometrical applications

  • Using differential equations
  • Separation of variables
  • Integrating factors
  • Solving homogeneous equations
  • Auxiliary equations with complex roots

Sample materials

Further information

Or please email the Integral team with any queries about the course.