About the Book
The third edition of Essential General Mathematics incorporates suggestions from teachers as well as the requirements of the Mathematics Study Design. It fully addresses the key skills and knowledges detailed in the course outcomes in a structure that offers flexibility in planning an appropriate course of study to meet the needs of the diverse student group studying General Mathematics. The text includes new questions and exercises to cover all areas relating to graphics calculators. Analysis questions in each chapter ensure that students are thoroughly prepared for examinations. There are also regular revision chapters to ensure each subject is understood.
Table of Contents:
Introduction; Arithmetic: 1. Applications of arithmetic, 1.1a. Using a scientific calculator, 1.1b. Using a graphics calculator, 1.2. Order of operations, 1.3. Directed numbers, 1.4. Powers and roots, 1.5. Decimal places and significant figures, 1.6. Decimal places and fractions with a graphics calculator, 1.7. Approximating, 1.8. Truncating and rounding, 1.9. Percentages, 1.10. Percentage increase and decrease, 1.11. Ratio and proportion, 1.12. Expressing ratios in their simplest forms, 1.13. Dividing quantities in given ratios, 1.14. Unitary method, 1.15. Application of ratio and proportion, 1.16. Introducing spreadsheets, 1.17. Chapter outcomes, 2. Financial arithmetic, 2.1. Revising percentages, 2.2. Simple interest, 2.3. Rearranging the simple interest formula, 2.4. Compound interest, 2.5. Flat rate depreciation, 2.6. Reducing balance depreciation, 2.7. Hire-purchase, 2.8. Break-even analysis, 2.9. Chapter outcomes, 3. Sequences and series, 3.1. Sequences, 3.2. Arithmetic sequences, 3.3. Arithmetic series, 3.4. Geometric sequences, 3.5. Geometric series, 3.6. Infinite geometric series, 3.7. Other sequences and difference equations, 3.8. Chapter outcomes; Statistics: 4. Univariate data, 4.1. Types of variables, 4.2. Displaying categorical data - the bar chart, 4.3. Displaying numerical data - the histogram, 4.4. Characteristics of distributions of numerical variables, 4.5. Stem-and-leaf plots, 4.6. Summarising data, 4.7. The boxplot, 4.8. Using boxplots to compare distributions, 4.9. Chapter outcomes, 5. Bivariate data, 5.1. Displaying bivariate data, 5.2. The q-correlation coefficient, 5.3. Lines on scatterplots, 5.4. Chapter outcomes; Algebra: 6. Linear relations and equations, 6.1. Simplifying and expanding algebraic expressions, 6.2. Index laws, 6.3. Solving linear equations, 6.4. Solving problems with equations, 6.5. Substitution and transposition in linear relations and formulae, 6.6. Constructing formulae, 6.7. Constructing a table of values, 6.8. Simultaneous equations, 6.9. Constructing and solving simultaneous equations, 6.10. Linear recursion, 6.11. Chapter outcomes, 7. Non-linear relations and equations, 7.1. Substitution, 7.2. Rearranging rules, 7.3. Building formulae, 7.4. Tables of values and graphs, 7.5. Simultaneous non-linear equations, 7.6. Chapter outcomes; Functions and graphs: 8. Linear graphs and modelling, 8.1. The Cartesian plane and straight line graphs, 8.2. Linear graphs and plotting graphs from tables of values, 8.3. Sketching linear graphs using the x- and y-intercept values, 8.4. Gradients of straight lines, 8.5. Gradients, intercepts and linear equations, 8.6. Drawing and sketching linear graphs, 8.7. Equations from lines, 8.8. Modelling with linear functions, 8.9. Lines of best fit, 8.10. Chapter outcomes, 9. Linear programming, 9.1. Graphs of linear inequations, 9.2. Graphs of simultaneous linear inequations, 9.3. Maximising and minimising functions, 9.4. Solving problems with linear programming, 9.5. Chapter outcomes; Geometry: 10. Shape and measurement I - mensuration and Pythagoras' theorem, 10.1. Area, 10.2. Volume, 10.3. Volume of pyramids, 10.4. Volume of cones, 10.5. Volume of spheres, 10.6. Surface area of three-dimensional shapes, 10.7. Surface area of a sphere, 10.8. Theorem of Pythagoras, 10.9. Pythagoras in three dimensions, 10.10. Chapter outcomes, 11. Shape and measurement II - symmetry and similarity, 11.1. Two-dimensional symmetry, 11.2. Reflecting and rotating with coordinates, 11.3. Three-dimensional symmetry, 11.4. Similar figures, 11.5. Similar triangles, 11.6. Similar solids, 11.7. Tessellations, 11.8. Chapter outcomes, 12. Coordinate geometry, 12.1. The distance between two points, 12.2. Finding the mid-point of a line segment, 12.3. Dividing a line in a given ratio, 12.4. Parallel lines, 12.5. Perpendicular lines, 12.6. Chapter outcomes, 13. Geometry of two-
