1. NUMBERS-OLD AND NEW. Overview. A Short History of Numbers and Numerals. Chapter 1 Projects. Ancient Systems of Numeration. Hindu-Arabic System and Fractions. Numeration Systems with Other Bases.
The Numbers of Technology. Types of Numbers. Summary. Review. Test. 2. LOGICAL THINKING. Overview.
A Short History of Logic. Chapter Two Projects. Logic, Statements and Definitions. Inductive and Deductive Reasoning. Symbolic Logic and Truth Tables. Logic and Flowcharts. Logic and Puzzles. Chapter Two Summary.
Chapter Two Review. Chapter Two Test. 3. SETS AND COUNTING. Overview. A Short History of Sets. Chapter Three Projects. Sets: Finite and Infinite.
Set Operations and Venn Diagrams. Applications of Sets. Introduction to Counting. Summary. Review. Test. 4. PROBABILITY.
Overview. A Short History of Probability. Chapter Four Projects. Intuitive Concepts of Probability. Calculating Probabilities. Probability and Odds. Probability of Compound Events. Conditional Probability.
Expected Value. Summary. Review. Test. 5. STATISTICS AND THE CONSUMER. Overview. A Short History of Statistics.
Chapter Five Projects. Arranging Information. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Polls and the Margin of Error. Regression and Forecasting. Summary.
Review. Test. 6. MODELING WITH ALGEBRA. Overview. A Short History of Algebra. Chapter Six Projects. Linear Models.
Quadratic Models. Exponential Models. Logarithmic Models. Summary. Review. Test. 7. GEOMETRY AND ART.
Overview. A Short History of Geometry. Chapter Seven Projects. Euclidean and Non-Euclidean Geometry. Perspective. Golden Ratios and Rectangles. Polygons and Stars. Tessellations.
Fractals. Summary. Review. Test. 8. TRIGONOMETRY: A DOOR TO THE UNMEASURABLE. Overview. A Short History of Trigonometry.
Chapter Eight Projects. Right Triangles, Sine, Cosine, Tangent. Solving Right Triangles. Right Triangle Applications. Laws of Sines and Cosines. Acute Triangle Applications. The Motion of a Projectile. Summary.
Review. Test. 9. FINANCE MATTERS. Overview. A Short History of Interest. Projects. Percents.
Simple Interest. Compound Interest. Annuities. Loans. Summary. Review. Test. 10.
MATH FROM OTHER VISTAS. Overview. Differential Calculus. Integral Calculus. Pascal--Yang Hui Triangle. Voting Systems. Apportionment. Linear Programming.