College mathematics /

Ayres, Frank

College mathematics / Frank Ayres and Philip A. Schmidt - 4 - India McGraw Hill 2010 - 464 p. - Schaum's outlines .


More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.



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1,600 fully solved problems


Complete review of all course fundamentals




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Topics include: Elements of Algebra; Functions; Graphs of Functions; Linear Equations; Simultaneous Linear Equations; Quadratic Functions and Equations; Inequalities; Locus of an Equation; The Straight Line; Families of Straight Lines; The Circle; Arithmetic and Geometric Progressions; Infinite Geometric Series; Mathematical Induction; The Binomial Theorem; Permutations; Combinations; Probability; Determinants of Order Two and Three; Determinants of Order; Systems of Linear Equations; Introduction to Transformational Geometry; Angles and Arc Length; Trigonometric Functions of a General Angle; Trigonometric Functions of an Acute Angle; Reduction to Functions of Positive Acute Angles; Graphs of the Trigonometric Functions; Fundamental Trigonometric Relations and Identities; Trigonometric Functions of Two Angles; Sum, Difference, and Product Trigonometric Formulas; Oblique Triangles; Inverse Trigonometric Functions; Trigonometric Equations; Complex Numbers; The Conic Sections; Transformations of Coordinate; Points in Space; Simultaneous Quadratic Equations; Logarithms; Power, Exponential, and Logarithmic Curves; Polynomial Equations, Rational Roots; Irrational Roots of Polynomial Equations; Graphs of Polynomials; Parametric Equations; The Derivative; Differentiation of Algebraic Expressions; Applications of Derivatives; Integration; Infinite Sequences; Infinite Series; Power Series; Polar Coordinates; Introduction to the Graphing Calculator; The Number System of Algebra; and Mathematical Modeling

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Mathematics

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