A top-rated series of textbooks designed to help students reach their highest potential. Easy to follow with logical sequencing and a step-by-step approach to problem-solving. Comprehensive module summaries, detailed worked examples and plenty of activities to prepare students for exams. Lots of typical exam-type questions so students understand what is expected of them. Simple defi niti ons for new terms to remove language barriers.

- 272 pages
- English
- PDF
- Available on iOS & Android
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Key takeaways
Apply fundamental algebraic operations, including working with exponents, factors, and fractions, to simplify expressions and solve various types of equations and word problems. This includes manipulating technical formulae relevant to engineering contexts.
Analyze and represent various functions, including those involving exponents, surds, and logarithms, by constructing and interpreting their graphs in a coordinate system. This includes identifying properties of straight lines, circles, ellipses, parabolas, and hyperbolas.
Utilize differential calculus to determine gradients, limits, and turning points of functions, and apply trigonometric principles to solve equations, prove identities, and analyze geometric problems involving triangles and rotating vectors.
Information
Table of contents
- Front Cover
- Title Page
- Imprint Page
- Contents
- MODULE 1: Orientation
- Unit 1.1: The importance of terminology
- Unit 1.2: Symbols frequently used in Mathematics
- Unit 1.3: The operations × , ÷ , + and -
- Unit 1.4: Variables
- Unit 1.5: Coefficients
- Unit 1.6: Examples of terms
- Unit 1.7: Similar terms
- Unit 1.8: Addition and subtraction of algebraic terms
- Unit 1.9: Laws for exponents
- Unit 1.10: Fractions
- Unit 1.11: Multiplication and division by fractions
- Unit 1.12: Factors
- Unit 1.13: Simplification of fractions
- Unit 1.14 Addition and subtraction of fractions
- Unit 1.15: The pocket calculator
- MODULE 2: Factors and fractions
- Unit 2.1: The common factor
- Unit 2.2: The quadratic trinomial
- Unit 2.3: Squares
- Unit 2.4: Cube functions
- Unit 2.5: Algebraic fractions
- MODULE 3: Exponents, surdsand logarithms
- Unit 3.1: Exponents
- Unit 3.2: Surds
- Unit 3.3: Logarithms
- MODULE 4: Equations, word problems and manipulation of technical formulae
- Unit 4.1: Equations
- Unit 4.2: Word problems
- Unit 4.3: Manipulation of technical formulae
- MODULE 5: Geometry of co-ordinates
- Unit 5.1: Different forms of a straight line
- Unit 5.2: Equations of straight lines
- Unit 5.3: The circle
- MODULE 6: Sketch graphs
- Unit 6.1: A straight line
- Unit 6.2: A circle with its centre at the origin
- Unit 6.3: The ellipse
- Unit 6.4: The parabola
- Unit 6.5: The hyperbola xy = c
- Unit 6.6: The cube function
- Unit 6.7: The form of y = axn
- MODULE 7: Differential calculus
- Unit 7.1: Average gradient and speed
- Unit 7.2: Limits
- Unit 7.3: Differentiation
- Unit 7.4: Turning points
- MODULE 8: Trigonometry
- Unit 8.1: Exact values
- Unit 8.2: Trigonometric equations
- Unit 8.3: Identities
- Unit 8.4: Solving triangles
- Unit 8.5: Sketch graphs
- Unit 8.6: Rotating vectors
- Answers
- Glossary
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