Engineering and science mathematics

Work through the mathematics behind your technical courses.

I help engineering and science students with the mathematical methods used across their degree, from calculus and linear algebra to differential equations, vector calculus and modelling.

PhD in MathematicsFormer university lecturerEngineering maths teaching experience
Common areas

Mathematics used across technical degrees.

The exact mix depends on your programme and course. We can work from the syllabus, notation and applications used by your department.

Calculus

Single and multivariable calculus

Limits, derivatives, integrals, partial derivatives, multiple integrals and vector calculus where required.

Linear algebra

Matrices and systems

Systems of equations, matrix methods, vector spaces, eigenvalues and related course topics.

Differential equations

Model changing systems

First and second order equations, systems and common solution methods used in science and engineering.

Mathematical methods

Use the method in context

Work through the mathematical techniques your technical courses expect you to apply.

Probability and statistics

Reason about data and uncertainty

Probability, distributions, estimation and statistical methods where they are part of the programme.

Modelling

Connect equations to the system

Translate a physical or scientific situation into mathematics and interpret the resulting solution.

A useful approach

Understand the mathematical structure before applying a formula.

Technical courses can move quickly from a physical or scientific problem to a mathematical method. We can slow down that transition so you can see why the method applies and what the answer means.

A lesson may involve

  • Reviewing a prerequisite idea
  • Identifying the mathematical structure
  • Choosing a suitable method
  • Working through the calculation carefully
  • Interpreting the result in the technical context
Bring the real course

Your department's notation and examples matter.

A mathematics method can look very different when it is embedded inside mechanics, circuits, fluids, chemistry, biology or another technical subject. Bring the course material you are using so the tutoring stays connected to it.

Useful things to send

  • Course name and code
  • Engineering or science programme
  • Syllabus or topic list
  • The mathematical method currently being used
  • Any upcoming test or exam
Start with your technical course

Send me the mathematics you are working on.

Include the course title, programme and current topic. I can check whether I cover the mathematical methods you need.

Ask about your course