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 Tuesday, 1 October 2024 and close on Friday, 1 November 2024.
The course will run from Monday, 4 November 2024, to Sunday, 15 June 2025.
The online induction session will run on Wednesday, 6 November 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.