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| Numbers-Old And New | |
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| Overview | |
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| A Short History of Numbers and Numerals | |
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| Chapter 1 Projects | |
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| Ancient Systems of Numeration | |
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| Hindu-Arabic System and Fractions | |
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| Numeration Systems with Other Bases | |
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| The Numbers of Technology | |
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| Types of Numbers | |
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| Summary | |
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| Review | |
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| Test | |
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| Logical Thinking | |
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| Overview | |
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| A Short History of Logic | |
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| Chapter Two Projects | |
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| Logic, Statements and Definitions | |
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| Inductive and Deductive Reasoning | |
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| Symbolic Logic and Truth Tables | |
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| Logic and Flowcharts | |
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| Logic and Puzzles | |
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| Chapter Two Summary | |
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| Chapter Two Review | |
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| Chapter Two Test | |
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| Sets And Counting | |
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| Overview | |
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| A Short History of Sets | |
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| Chapter Three Projects | |
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| Sets: Finite and Infinite | |
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| Set Operations and Venn Diagrams | |
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| Applications of Sets | |
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| Introduction to Counting | |
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| Summary | |
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| Review | |
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| Test | |
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| Probability | |
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| Overview | |
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| A Short History of Probability | |
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| Chapter Four Projects | |
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| Intuitive Concepts of Probability | |
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| Calculating Probabilities | |
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| Probability and Odds | |
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| Probability of Compound Events | |
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| Conditional Probability | |
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| Expected Value | |
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| Summary | |
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| Review | |
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| Test | |
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| Statistics And The Consumer | |
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| Overview | |
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| A Short History of Statistics | |
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| Chapter Five Projects | |
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| Arranging Information | |
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| Measures of Central Tendency | |
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| Measures of Dispersion | |
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| The Normal Distribution | |
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| Polls and the Margin of Error | |
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| Regression and Forecasting | |
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| Summary | |
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| Review | |
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| Test | |
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| Modeling With Algebra | |
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| Overview | |
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| A Short History of Algebra | |
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| Chapter Six Projects | |
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| Linear Models | |
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| Quadratic Models | |
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| Exponential Models | |
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| Logarithmic Models | |
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| Summary | |
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| Review | |
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| Test | |
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| Geometry And Art | |
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| Overview | |
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| A Short History of Geometry | |
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| Chapter Seven Projects | |
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| Euclidean and Non-Euclidean Geometry | |
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| Perspective | |
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| Golden Ratios and Rectangles | |
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| Polygons and Stars | |
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| Tessellations | |
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| Fractals | |
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| Summary | |
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| Review | |
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| Test | |
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| Trigonometry: A Door To The Unmeasurable | |
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| Overview | |
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| A Short History of Trigonometry | |
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| Chapter Eight Projects | |
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| Right Triangles, Sine, Cosine, Tangent | |
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| Solving Right Triangles | |
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| Right Triangle Applications | |
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| Laws of Sines and Cosines | |
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| Acute Triangle Applications | |
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| The Motion of a Projectile | |
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| Summary | |
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| Review | |
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| Test | |
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| Finance Matters | |
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| Overview | |
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| A Short History of Interest | |
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| Projects | |
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| Percents | |
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| Simple Interest | |
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| Compound Interest | |
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| Annuities | |
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| Loans | |
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| Summary | |
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| Review | |
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| Test | |
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| Math From Other Vistas | |
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| Overview | |
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| Differential Calculus | |
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| Integral Calculus | |
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| Pascal--Yang Hui Triangle | |
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| Voting Systems | |
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| Apportionment | |
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| Linear Programming | |