Maths Support: Maths support resources

Hutchinson Pocket Dictionary of Maths

Use this dictionary to help you understand what each topic in this guide covers

 

Topics covered:

• Differential calculus
• Positive integer powers
• Maximum and minimum points
• Fractional and negative powers
• The second derivative 
• The shape of curves
• Chain rule
• Product rule and quotient rule
• Differentiating exponential functions and logarithms
• Differentiating trigonometric functions
• Implicit differentiation

Topics covered:

• Indices
• Surds

Topics covered:

• Long division with no remainders
• Long division with remainders

Topics covered:

• Proportional relationships

Topics covered: 

• Decimals
• Decimal places 
• Significant figures
• Fractions
• Ratios
• Percentages

Topics covered:

• Integers
• Operations with integers

Topics covered:

• Introduction to integration
• Finding the area under a curve
• Integrating fractional and negative powers
• Finding areas
• Integration by substitution
• Further integration (involving logs)
• Integration by parts
• Applications of integrations

Topics covered:

• Introduction to matrices
• Matrices and transformations
• Invariance
• Determinants and inverses of 2 by 2 matrices
• Matrices and simultaneous equations
• Determinants and inverses of 3 by 3 matrices

Topics covered:

• Quadratic graphs and equations
• The quadratic formula

Topics covered:

• Introduction to complex numbers
• The Argand diagram
• Modulus and argument
• Loci in the complex plane
• De Moivre's theorem
• Exponential notation and applications of de Moivre's theorem

Topics covered:

• Functions
• Calculus  
• Hyperbolic functions  
  
  
   

Topics covered:

• Simultaneous equations 
• First order differential equations
• Second order differential equations

Topics covered:

• Permutations
• Combinations 

Topics covered: 

• Trigonometric functions and identities
• Trigonometric equations
• Sine and cosine rules
• Working with radians
• Circular measure and small angle approximations
• Reciprocal and inverse trigonometric functions
• Compound angle formulae and alternate forms
• Harmonic identities e.g. Rsin(x + a)

Topics covered: 

• Points and straight lines
• Circles

Topics covered:

• Sequences
• Series

Topics covered:

• Introduction to exponential functions and logarithms
• The exponential function and the natural logarithm
• Modelling curves
   

Topics covered:

• Working with probability
• Probability distributions
• Conditional probability

Topics covered:

• The scalar product
• The equation of a plane
• The equation of a line
• Lines and planes
• The vector product
• Finding distances