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Full Description
Major Revision Facts in Mathematics was created for students and teachers who are interested in mastering the basic applications of algebra, geometry, trigonometry, and statistics. This text has been proven to improve learning for students who are behind in their mathematics skills and knowledge, as well as those who are looking to strengthen their skills with confidence. With structured examples and detailed explanations, Major Revision Facts in Mathematics is a simple-to-follow text for students and teachers of components of algebra and beyond its realm. The basic facts are articulated with clear and succinct descriptions, and the examples that are provided are detailed and explained in simplistic terms. This text covers the core requirements of mathematics, including concepts and skills. Numerous examples, problems and solutions, and applications are covered in this text. It has been used to supplement the author's own classes and has helped students who have difficulties in mastering the basic concepts and fundamental principles in an inclusive environment.
Contents
Chapter 1 Purpose and Audience Chapter 2 Introduction Chapter 3 Theory of Quadratics Chapter 4 Progressions and Series Chapter 5 Simultaneous Equations Chapter 6 Indices and Logarithms Chapter 7 Remainder Theorem Chapter 8 Permutations and Combinations Chapter 9 Graphs of Algebraic Functions Chapter 10 Circular Measure Chapter 11 Trigonometric Functions Chapter 12 Addition Formulae Chapter 13 Equations and Identities Chapter 14 Solutions of Triangles Chapter 15 3-Dimensional Geometry Chapter 16 3-Dimensional Trigonometry Chapter 17 Points and Loci Chapter 18 Straight Lines Chapter 19 The Circle Chapter 20 Gradients and Differentiation Chapter 21 Tangents and Normals Chapter 22 Velocity and Acceleration Chapter 23 Maxima and Minima Chapter 24 Integration Chapter 25 Areas and Volumes Chapter 26 Forces and Moments Chapter 27 Vector Quantities Chapter 28 Triangle of Forces Chapter 29 Parallel Forces Chapter 30 Center of Gravity Chapter 31 Equilibrium Chapter 32 Uniformly Accelerated Motion Chapter 33 Laws of Motion Chapter 34 Work and Power Chapter 35 Energy Chapter 36 Momentum and Impulse