Precalculus, An Honours Course by David A. Santos

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About this book :-
These notes are provided for your benefit as an attempt to organise the salient points of the course. They are a very terse account of the main ideas of the course, and are to be used mostly to refer to central definitions and theorems. These notes try to make patent the distinction between rational and irrational numbers, and their decimal representations. Rational functions are introduced, but only those whose numerators and denominators are polynomials splitting in R. The problem of graphing them is reduced to examining the local at the zeroes and poles, and their global behaviour.

Book Detail :-
This book has following details information.
Title: Precalculus, An Honours Course by David A. Santos by NA
Publisher: David A. Santos
Series: Google Search
Year: 2008
Pages: 303
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
Country: Pakistan
License: GNU Free Documentation License
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. The Line 1.1 Sets and Notation 1.2 Rational Numbers and Irrational Numbers 1.3 Operations with Real Numbers 1.4 Order on the Line 1.5 Absolute Value 1.6 Completeness Axiom 2. The Plane 2.1 Sets on the Plane 2.2 Distance on the Real Plane 2.3 Circles 2.4 Semicircles 2.5 Lines 2.6 Parallel and Perpendicular Lines 2.7 Linear Absolute Value Curves 2.8 Parabolas, Hyperbolas, and Ellipses 3. Functions 3.1 Basic Definitions 3.2 Graphs of Functions and Functions from Graphs 3.3 Natural Domain of an Assignment Rule 3.4 Algebra of Functions 3.5 Iteration and Functional Equations 3.6 Injections and Surjections 3.7 Inversion 4. Transformations of the Graph of Functions 4.1 Translations 4.2 Distortions 4.3 Reflexions 4.4 Symmetry 4.5 Transformations Involving Absolute Values 4.6 Behaviour of the Graphs of Functions 4.7 The functions 5. Polynomial Functions 5.1 Power Functions 5.2 Affine Functions 5.3 The Square Function 5.4 Quadratic Functions 5.4.1 Zeros and Quadratic Formula 5.8 Graphs of Polynomials 5.9 Polynomials 6. Rational Functions and Algebraic Functions 6.1 The Reciprocal Function 6.2 Inverse Power Functions 6.3 Rational Functions 6.4 Algebraic Functions 7. Exponential Functions 7.1 Exponential Functions 7.2 The number e 7.3 Arithmetic Mean-Geometric Mean Inequality 8. Logarithmic Functions 8.1 Logarithms 8.2 Simple Exponential and Logarithmic Equations 8.3 Properties of Logarithms 9. Goniometric Functions 9.1 The Winding Function 9.2 Cosines and Sines: Definitions 9.3 The Graphs of Sine and Cosine 9.4 Inversion 9.5 The Goniometric Functions 9.6 Addition Formulae A. Complex Numbers A.1 Arithmetic of Complex Numbers A.2 Equations involving Complex Numbers A.3 Polar Form of Complex Numbers B Binomial Theorem B.1 Pascal’s Triangle B.2 Homework C. Sequences and Series C.1 Sequences C.2 Convergence and Divergence C.3 Finite Geometric Series C.4 Infinite Geometric Series D. Old Exam Questions

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