MfE

Maths for Engineering

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Mathematical Handbook

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USEFUL LINKS

Mathematical Handbook

Higher Maths Course

List of Scottish Engineering Courses

Logarithms and Exponentials

Differentiation 1

Complex Numbers

Differentiation 2

Differential Equations

Core Concepts

Algebra

Evaluating Expressions

Multiplying out brackets

Changing the subject of a formula

Engineering Formula

Algebraic Fractions

Statistics

Interpreting Graphs

Statistical analysis of data

Geometry

Areas and Volumes

The Straight Line

Best Fitting Straight Lines

Further Straight Line Theory

Quadratic Equations

Simultaneous Equations

Sequences

Recurrence Relations

Trigonometry 1

Pythagoras and SOHCAHTOA

Sine and Cosine Rules

Trigonometric Graphs and Equations

Functions

Functions and Graphs

Composite Functions

Inverse Functions

Vectors

Determining Vector Connections

Using the Scalar Product

Logarithms and Exponentials

Logarithms & Exponentials

Simplying and solving equations

Differentiation 1

Differentiation Introduction

Basic Differentiation

Equation of a tangent

Stationary points and nature

Integration 1

Integration Introduction

Basic Integration

Anti-Differentiation

Finding an area

Finding the area between 2 functions

Complex Numbers

Complex Numbers

Trigonometry 2

Applying Radians

Trig identies and Hyperbolics

Manipulating Trig Expressions

Solving Trig Equations

Matrices

Eigenvalues & Eigenvectors

Differentiation 2

Further Differentiation

Rates of Change

Product and Quotient Rules

Partial Differentiation

Newton-Raphson Iteration

Integration 2

Further Integration

Engineering Applications

Integration by Parts

Integration by Substitution

Differential Equations

Separating Variables

Laplace Transforms

Numerical Approximations

Fourier Series