Mathematics

Preface. 1. LOGIC. Deductive Logic versus Inductive Logic. Symbolic Logic. Truth Tables. More on Conditionals. Analyzing Arguments. Chapter 1 Review. 2. SETS AND COUNTING. Sets and Set Operations. Applications of Venn Diagrams. Introduction to Combinatorics. Permutations and Combinations. Infinite Sets. Chapter 2 Review. 3. PROBABILITY. History of Probability. Basic Terms of Probability. Basic Rules of Probability. Combinatorics and Probability. Expected Value. Conditional Probability. Independence; Trees in Genetics. Chapter 3 Review. 4. STATISTICS. Population, Sample, and Data. Measures of Central Tendency. Measures of Dispersion. The Normal Distribution. Polls and Margin of Error. Linear Regression. Chapter 4 Review. 5. FINANCE. Simple Interest. Compound Interest. Annuities. Amortized Loans. Annual Percentage Rate with a TI's TVM Application. Payout Annuities. Chapter 5 Review. 6. VOTING AND APPORTIONMENT. Voting Systems. Methods of Apportionment. Flaws of Apportionment. Chapter 6 Review. 7. NUMBER SYSTEMS AND NUMBER THEORY. Place Systems. Addition and Subtraction in Different Bases. Multiplication and Division in Different Bases. Prime Numbers and Perfect Numbers. Fibonacci Numbers and the Golden Ratio. Chapter 7 Review. 8. GEOMETRY Perimeter and Area. Volume and Surface Area. Egyptian Geometry. The Greeks. Right Triangle Trigonometry. Linear Perspective. Conic Sections and Analytic Geometry. Non-Euclidean Geometry. Fractal Geometry. The Perimeter and Area of a Fractal. Chapter 8 Review. 9. GRAPH THEORY. A Walk through Königsberg. Graphs and Euler Trails. Hamilton Circuits. Networks. Scheduling. Chapter 9 Review. 10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Review of Exponentials and Logarithms. Review of Properties of Logarithms. Exponential Growth. Exponential Decay. Logarithmic Scales. Chapter 10 Review. 11. MATRICES AND MARKOV CHAINS. Review of Matrices. Introduction to Markov Chains. Systems of Linear Equations. Long-Range Predictions with Markov Chains.

Thomas Mowry earned a Bachelor's degree and a Master's degree in Mathematics from Michigan Technological University, in Houghton, Michigan. He began his college teaching career at City College of San Francisco and then went on to teach at San Francisco State University, Golden Gate University, and Cogswell College. He has been a professor of mathematics at Diablo Valley College, Pleasant Hill, California since 1985, where he has taught the complete gamut of courses from arithmetic to differential equations. He has served as department chair at DVC for the last seven years. Along with co-author, David Johnson, he created a college-level, transferable mathematics course (at DVC ) designed for students in the liberal arts. As no appropriate textbooks were available for this course, he and David created Mathematics: A Practical Odyssey, which was first published in 1992. David Johnson earned a Bachelor's degree in Mathematics and a Bachelor's degree in Psychology (with an emphasis on Learning Theory), from the University of California at Santa Cruz, and a Master's degree in Mathematics from the University of California at Berkeley. After several years working as an academic counselor at Berkeley, he became a Professor of Mathematics at Diablo Valley College (DVC). He has taught DVC's liberal arts math course regularly for about 25 years, using Mathematics a Practical Odyssey. Other favorite courses include Intermediate Algebra, all three semesters of Calculus, and Differential Equations.