Why Math?

1 Arithmetic Review
1.1 Basis Rules
1.2 Division, Fractions, and Exponents
1.3 Percentages
1.4 Rates

2 Prime Numbers and Fractions
2.1 Prime Numbers and Factorization
2.2 Greatest Common Factor
2.3 Rationals and Irrationals

3 The Pythagorean Theorem and Square Roots
3.1 The Theorem
3.2 Square Roots Which Are Irrational
3.3 Computation of Square Roots by Successive Approximation

4 Elementary Equations
4.1 Equations in One Unknown
4.2 The Use of Two or More Unknowns
4.3 Graphing

5 Quadratic Polynomials and Equations
5.1 Solution of Quadratic Equations
5.2 Applications of Quadratic Equations
5.3 Quadratic Polynomials

6 Powers and Geometric Sequences
6.1 Applications of Powers
6.2 More on Half-Lives
6.3 Compound Interest and Related Matters
6.4 IRAs and Similar Tax Sheltered Accounts
6.5 Geometric Series-the "Sum" of a Geometric Sequence

7 Areas and Volumes
7.1 Areas
7.2 Volumes
7.3 Surface Area of a Solid (versus Volume)
7.4 Computation of Cube Roots

8 Galilean Relativity
8.1 Displacement and Velocity Vectors
8.2 Doppler Effect
8.3 Components of Vectors

9 Special Relativity
9.1 Simultaneity and Einstein's Postulate
9.2 Time Dilation
9.3 Length Contraction

10 Binary Arithmetic
10.1 Decimal, Binary, and Ternary Representation of Integers
10.2 Subtraction and Division in Base Two
10.3 Applications

11 Sets and Counting
11.1 Set Notation
11.2 Counting

12 Probability
12.1 Elementary Ideas and Examples
12.2 Mutually Exclusive Events
12.3 The Basic Rules
12.4 Quality Control (optional)
12.5 Expectation
12.6 Conditional Probability

13 Cardinality
13.1 Countable Sets
13.2 Countably Many Countable Sets
13.3 The Reals vs. the Rationals
- Answers to Odd-Numbered Problems