\$22.35

# Maths Matters for CSEC® Examinations

By Geoff Buckwell
US\$ 22.35
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Book Description

• Cover
• Title
• Contents
• Introduction
• Scope and sequence
• 1 Numbers theory
• 1.1 Classifiying numbers
• 1.2 Operations, identity and inverse
• 1.3 Closure
• 1.4 Distributive law and associative law in number problems
• 1.5 Other bases (revision)
• 2 Rounding and errors
• 2.1 Significant figures, decimal places and standard form
• 2.2 Errors in measurement
• 2.3 Rounding effects when substituting in formulae
• 3 Consumer arithmetic
• 3.1 Income
• 3.2 Taxes
• 3.3 Utilities
• 3.4 Currency
• 3.5 Paying by instalments
• 3.6 Interest
• 4 Sets and sequences
• 4.1 Definitions
• 4.2 Sequences
• 4.3 Finding the rule of a sequence
• 5 Algebra: expressions
• 5.1 Algebraic operations
• 5.2 Indices
• 5.3 Binary operations
• 5.4 Algebraic fractions
• 6 Algebra: equations
• 6.1 Linear equations
• 6.2 Simultaneous equations
• 6.3 Inequalities
• 6.4 Changing the subject
• 7 Coordinate geometry of the straight line
• 7.1 Straight-line graphs
• 7.3 Gradients and intercepts of straight lines
• 7.4 Finding the equation of a straight line
• 7.5 Parallel and perpendicular lines
• 7.6 Distance between points
• 7.7 Midpoints
• 7.8 Graphical solution of simultaneous equations
• 7.9 Inequalities in two dimensions
• 8.1 Expanding a bracket (revision)
• 8.2 Expanding pairs of brackets
• 8.3 Identities
• 8.4 Factorising two terms (revision)
• 8.6 The general quadratic ax[sup(2)] + bx + c
• 9 Ratio and proportion
• 9.1 Ratio
• 9.2 Rate
• 9.3 Direct proportion
• 9.4 Inverse proportion
• 9.5 Proportion to a power
• 10 Geometry 1
• 10.1 Lines, angles, polygons and solids
• 10.2 Basic drawing and constructions
• 10.3 Symmetry
• 11 Geometry problems
• 11.1 Lines, angles and polygons
• 11.2 Congruent triangles
• 11.3 Similar figures
• 12 Transformations
• 12.1 Translations using vectors
• 12.2 Transformations (revision)
• 12.3 Combining transformations
• 12.4 Glide reflections
• 13 Surface area and volume
• 13.1 Revision of units
• 13.2 Length and area
• 13.3 Area of regular shapes (revision)
• 13.4 Surface area
• 13.5 Volume
• 13.6 The cylinder
• 13.7 Pyramids and cones
• 13.8 The sphere
• 13.9 Compound shapes
• 14 Trigonometry
• 14.1 Pythagoras' theorem
• 14.2 The trigonometric ratios
• 14.3 Bearings
• 14.4 The sine rule
• 14.5 Using the sine rule to find angles
• 14.6 The cosine rule
• 14.7 Using the cosine rule to find angles
• 14.8 Solving triangles
• 15 Circle theorems
• 15.1 Definitions
• 15.2 Angle at the centre of a circle
• 15.3 Angle in a semicircle
• 15.4 Angles in the same segment
• 15.6 Mixed examples
• 15.7 Tangents
• 15.8 Alternate segment theorem
• 15.9 Midpoint of a chord
• 16 Functions
• 16.1 Domain and range
• 16.2 Composite functions
• 16.3 Formulae for composite functions
• 16.4 Inverse functions
• 17 Statistics
• 17.1 Data and frequency tables
• 17.2 Statistical diagrams
• 17.3 Measures of central tendency
• 17.4 Range and interquartile range
• 17.5 Median and quartiles from a frequency table
• 17.6 Cumulative frequency
• 17.7 Probability
• 18 Vectors
• 18.1 The arithmetic of vectors and geometry
• 18.2 Position vectors
• 18.3 Magnitude of a vector, unit vectors
• 18.4 Midpoints
• 19 Matrix algebra
• 19.1 Arrays of numbers
• 19.2 Adding and subtracting matrices
• 19.3 Multiplication by a scalar
• 19.4 Matrix multiplication
• 19.5 The identity matrix
• 19.6 Inverse matrices
• Optional special objectives
• 20.1 Completing the square
• 20.2 Greatest or least value and line of symmetry
• 20.3 Solving equations by completing the square
• 20.4 Line of symmetry and turning points by sketching
• 20.5 Simultaneous equations: one linear, one quadratic
• 21 Regions and linear programming
• 21.1 Inequalities revision
• 21.2 Revision of y = mx + c
• 21.3 Regions
• 21.4 Regions with sides not parallel to the axes
• 21.5 Situations which give rise to inequalities
• 21.6 Listing the possibilities
• 21.7 Linear programming
• 22 Further graphs
• 22.1 Graphs of powers of x
• 22.2 Distance–time graphs
• 22.3 Acceleration
• 22.4 Velocity–time graphs
• 23 Measurement, geometry and trigonometry
• 23.1 Area of a triangle
• 23.2 Area of a segment
• 23.3 Lines and planes
• 23.4 Lengths and angles in three dimensions
• 23.5 Lengths within solids
• 23.6 Angle between lines
• 24 Vectors and matrices
• 24.1 Equivalent (equal) and null vectors
• 24.2 Collinear points
• 24.3 Transformations using matrices
• 24.4 Enlargements
• 24.5 The unit square
• 24.6 Common matrices
• 24.7 Successive transformations using matrices
• 24.8 Simultaneous equations
• Model examination papers
• Glossary
• A
• B
• C
• D
• E
• F
• G
• H
• I
• K
• L
• M
• O
• P
• Q
• R
• S
• T
• U
• V
• Index
• A
• B
• C
• D
• E
• F
• G
• H
• I
• K
• L
• M
• N
• O
• P
• Q
• R
• S
• T
• U
• V
• W
• Y
• Z
• Back Cover
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