# 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
• 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

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## Further information

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