Mathematics for Engineers

Build the rock-solid math foundation you need to think like an engineer.
This course takes you from essential concepts to practical problem‑solving, focusing on the mathematics you’ll actually use in engineering studies and real projects.

Instead of memorizing formulas, you’ll learn how and why they work, then apply them to situations like modelling systems, understanding the math behind signals, optimization and more.

What you’ll learn
By the end of this course, you’ll be confident with:

• Algebra for engineering
  • Equations, inequalities, and systems of equations.
  • Functions, graphs, and transformations.
  • Exponents, logarithms, and their applications.
• Trigonometry in practice
  • Angles, triangles, and trigonometric identities.
  • Sine, cosine, and tangent in engineering contexts.
  • Vectors, components, and resolving forces.
• Functions, sequences, and basic calculus ideas
  • Linear, quadratic, polynomial, exponential and logarithmic functions.
  • Sequences, series, and growth/decay.
  • Intuitive introduction to limits, derivatives and integrals as used in engineering problems.
• Problem‑solving and exam readiness
  • Translating word problems into mathematical models.
  • Step‑by‑step methods for typical engineering math questions.
  • Common mistakes and how to avoid them.
• Who is this course for?
  • Incoming or first‑year engineering students who want to feel confident in math.
  • Current students struggling with math-intensive subjects like mechanics, circuits, or control systems.
  • Professionals returning to study or transitioning into engineering who need a structured math refresh.
  • Anyone who wants a clear, practical, engineer‑focused math foundation.
• How the course is structured
  • Short, focused lessons that build concepts gradually.
  • Intuitive explanations first, then formal methods and formulas.
  • Worked engineering‑style examples in every module.
  • Practice exercises (with solutions) so you can check your understanding as you go.

If you’ve ever felt that math is the barrier between you and engineering, this course is designed to remove that barrier – step by step, with clear explanations and plenty of practice.