Mathematics: A Human Endeavor (Student Book) [SCM]

Lessons

• 1:1 The Path of the Billiard Ball
• 1:2 More Billiard-Ball Mathematics
• 1:3 Inductive Reasoning: Finding and Extending Patterns
• 1:4 The Limitations of Inductive Reasoning
• 1:5 Deductive Reasoning: Mathematical Proof
• 1:6 Number Tricks and Deductive Reasoning
• 2:1 Arithmetic Sequences
• 2:2 Geometric Sequences
• 2:3 The Binary Sequence
• 2:4 The Sequence of Squares
• 2:5 The Sequence of Cubes
• 2:6 Fibonacci Sequence
• 3:1 The Idea of a Function
• 3:2 Descartes and the Coordinate Graph
• 3:3 Functions with Line Graphs
• 3:4 Functions with Parabolic Graphs
• 3:5 More Functions with Curved Graphs
• 3:6 Interpolation and Extrapolation: Guessing Between and Beyond
• 4:1 Large Numbers
• 4:2 Scientific Notation
• 4:3 An Introduction to Logarithms
• 4:4 Decimal Logarithms
• 4:5 Logarithms and Scientific Notation
• 4:6 Exponential Functions
• 5:1 Symmetry
• 5:2 Regular Polygons
• 5:3 Mathematical Mosaics
• 5:4 Regular Polyhedra
• 5:5 Pyramids and Prisms
• 6:1 The Circle and the Ellipse
• 6:2 The Parabola
• 6:3 The Hyperbola
• 6:4 The Sine Curve
• 6:5 Spirals
• 6:6 The Cycloid
• 7:1 The Fundamental Counting Principle
• 7:2 Permutations
• 7:3 More on Permutations
• 7:4 Combinations
• 8:1 Probability: The Measure of Chance
• 8:2 Dice Games and Probability
• 8:3 Probabilities of Successive Events
• 8:4 Binomial Probability
• 8:5 Pascal's Triangle
• 8:6 Independent and Dependent Events
• 8:7 The Birthday Problem: Complimentary Events
• 9:1 Organizing Data: Frequency
• 9:2 Distributions
• 9:3 The Breaking of Ciphers and Codes: An Application of Statistics
• 9:4 Measures of Central Tendency
• 9:5 Measures of Variability
• 9:6 Displaying Data: Statistical Graphs
• 9:7 Collecting Data: Sampling
• 10:1 The Mathematics of Distortion
• 10:2 The Seven Bridges of Konigsberg: An Introduction to Networks
• 10:3 Euler Paths
• 10:4 Trees
• 10:5 The Moebius Strip and Other Surfaces