# Engineering

The following sheets have been designed specifically for Engineers as a “First Aid Kit”. Each sheet is a pdf that you can download and print. These sheets are also available from the Mathematics Support Centre.

 1.1 Fractions 1.2 Powers and Roots 1.3 Scientific Notation 1.4 Factorials! 1.5 The Modulus of a Number 2.1 The Laws of Indices 2.2 Negative and Fractional Powers 2.3 Removing Brackets 1 2.4 Removing Brackets 2 2.5 Factorising Simple Expressions 2.6 Factorising Quadratics 2.7 Simple Fractions 2.8 Addition and Subtraction of Fractions 2.9 Multiplication and Division of Fractions 2.1 Rearranging Formulas 1 2.11 Rearranging Formulas 2 2.12 Solving Linear Equations 2.13 Simultaneous Equations 2.14 Quadratic Equations 1 2.15 Quadratic Equations 2 2.16 Inequalities 2.17 The Modulus Symbol 2.18 Graphical Solutions of Inequalities 2.19 What is a Logarithm? 2.2 The Laws of Logarithms 2.21 Logs with Bases other than 10 or e 2.22 Sigma Notation 2.23 Partial Fractions 1 2.24 Partial Fractions 2 2.25 Partial Fractions 3 2.26 Completing the Square 2.27 What is a Surd? 3.1 What is a Function? 3.2 The Graph of a Function 3.3 The Straight Line 3.4 The Exponential Constant e 3.5 The Hyperbolic Functions
 3.6 The Hyperbolic Identities 3.7 The Logarithmic Function 3.8 Solving Equations Involving Logarithms & Exponentials 3.9 Polar Co-ordinates 4.1 Degrees and Radians 4.2 The Trigonometric Ratios 4.3 Graphs of the Trigonometric Functions 4.4 Trigonometric Identities 4.5 Pythagoras’ Theorem 4.6 The Sine and Cosine Rule 5.1 Determinants 5.2 Cramer’s Rule 5.3 Multiplying Matrices 5.4 The Inverse of a 2×2 Matrix 5.5 Using the Inverse Matrix to Solve Equations 6.1 Vectors 6.2 The Scalar Product 6.3 The Vector Product 7.1 What is a Complex Number? 7.2 Complex Arithmetic 7.3 The Argand Diagram 7.4 The Polar Form 7.5 The Form r(cosθ + j sinθ) 7.6 Multiplication and Division in Polar Form 7.7 The Exponential Form 8.1 Introduction to Differentiation 8.2 Table of Derivatives 8.3 Linearity Rules 8.4 Product and Quotient Rules 8.5 The Chain Rule 8.6 Integration as the Reverse of Differentiation 8.7 Table of Integrals 8.8 Linearity Rules of Integration 8.9 Evaluating Definite Integrals 8.1 Integration by Parts 8.11 Integration by Substitution 8.12 Integration as Summation

We also have specific worksheets designed for Electrical Engineers which are provided below

 Sheet Number Title EL1 Introduction to circuits and Ohm’s Law EL2 Kirchhoff’s Current and Voltage Laws EL3 Voltage and Current Divider Rules EL4 Superposition Theorem EL5 Capacitors and Inductors