Algebra & Equations
- Changing The Subject of The Formula
- Introduction To Surds
- Inequalities
- Adding & Subtracting Surds
- Common Factor
- Trinomials
- Completing The Square
- Simultaneous Equations
- Quadratic Formula
- Sketching Quadratics
Mathematics · Year 1
Mathematics Foundation for chemical engineers
A step-by-step foundation in the core mathematics needed for any STEM degree, covering algebra, factorisation, graphs, geometry, trigonometry, vectors and number nomenclature.
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No card needed. Every lesson is open on every plan.
The subject
What Mathematics Foundation covers
This course covers a comprehensive range of foundational topics essential for any degree programme and for most STEM professions, providing a detailed step-by-step guide to mastering the core topics of mathematics. It spans algebra, factorisation, graphs, geometry, trigonometry, vectors and number nomenclature, with each topic detailing the core concepts needed to progress to the next level. Designed for students and adult learners with little to no prior knowledge, it pairs detailed fundamental theory with a wide range of applications that solidify understanding. Learners come away able to handle number nomenclature and basic operations such as fractions, percentages, standard deviation and functions; work confidently with algebra including brackets, factorisation, inequalities, surds, indices, straight lines, quadratics and polynomials; apply geometric concepts spanning Pythagoras, areas of basic and composite shapes, arc lengths and similar shapes; use basic trigonometry including graph transformations, CAST diagrams and the sine and cosine rules; and work with vectors as 2D and 3D entities.
What you’ll be able to do
- Explain what it means to change the subject of a formula
- Define the gradient as the steepness of a line relative to the horizontal
- Distinguish natural numbers, integers and rational numbers
- State Pythagoras' theorem for a right-angled triangle
- Identify the three types of trigonometric graph
- Interpret the x and y components of a vector in two dimensions
The lessons
Every lesson, theme by theme
44 lessons in 8 themes, pitched at Year 1. Your year decides what comes first, never what you can open.
Straight Lines & Gradients
- The Gradient
- Equation of A Straight Line
Numbers & Arithmetic
- Number Nomenclature
- Introduction To Fractions
- Scientific Notation
- Percentages
- Reverse Percentages
- Compound Interest
Geometry & Mensuration
- Pythagoras
- Area of A Triangle
- Sector Area
- Arc Length
- Introduction To Volume
- Composite Volume
- Similar Shapes
Trigonometry
- Trigonometric Graphs
- The CAST Diagram
- Trigonometric Equations
- The Sine Rule
- The Cosine Rule
- Bearings
Vectors
- Introduction To Vectors
- Adding & Subtracting Vectors
- Vector Pathways
- Vector Magnitude
Statistics & Functions
- Standard Deviation
- Functions
More in Mathematics Foundation
- Introduction To Indicies
- Multiplying Out Brackets
- Rationalise The Denominator
- Multiplying & Dividing Surds
- Difference of 2 Squares
- Algebraic Fractions
- The Discriminant
Before you start
What it builds on
This one starts from scratch: no other subject is assumed.
How you’ll learn it
Mathematics Foundation, at your pace
Video lessons
44 lessons and 44 videos, each with what you’ll be able to do by the end.
Practice, marked as you go
39 practice questions, marked the moment you answer, with hints when you’re stuck. Step-by-step worked solutions come with Core.
CERA, when it doesn’t click
Ask CERA to explain any idea in Mathematics Foundation another way, or to test you on it. Every day, on every plan.
Keep exploring
See every subjectEngineering Mathematics
A comprehensive engineering mathematics course spanning algebra, functions, calculus, vectors, matrices, differential equations and complex numbers for STEM applications.
Dimensional Analysis
An introduction to dimensional analysis, covering fundamental dimensions, dimensionless groups and the Buckingham Pi method.
Mass & Energy Balances
A course on mass and energy balances, covering reacting systems, enthalpy, process modelling, recycle and purge, and multi-stage systems.
Thermodynamics
A comprehensive grounding in thermodynamic principles and cycles, covering energy, efficiency, the ideal gas law and the OTTO, Diesel, Brayton, Carnot and Rankine cycles.
Ready when you are
Build a plan around exactly where you’re stuck
Tell us where you are and get a pathway with your first lesson, your first practice set and a weekly study target. You won’t need an account until you want to keep it.