SEMESTER 1

Vertex-Edge Graphs

VE-1 Optimum Communications Network

VE-2 Avoiding Conflict

VE-3 Finding Optimum Routes

VE- 4 Hamilton Paths and TSP

Modular Arithmetic & Cryptography

MA-1 Public Key Cryptosystems and Modular Arithmetic

MA-2 Cryptography

MA-3 Check that Digit

Conic Sections

9-1 Midpoint and Distance Formulas

9-2 Parabolas

9-3 Circles 

9-4 Ellipses

9-5 Hyperbolas

9-6 Identifying Conics

Conic Sections Review

Solutions

Voting

Vote - 1 Borda Count Method

Vote - 2 Runoff Voting

Vote  - 3 Condorcet Method

Logic & Set Theory 

Logic, Sets and Internet Searches

Sequences & Series

10-1 Sequences as Functions

10-2 Arithmetic Sequences and Series

10-3 Geometric Sequences and Series

10-4 Infinite Geometric Series

MidChapter 10 Review

10-5 Recursion and Iteration

10-6 The Binomial Theorem

10-7 Proof by Mathematical Induction

SEMESTER 2:

Stats Chapter 1 - The Nature of Probability and Statistics

1-1 Descriptive and Inferential Statistics 

1-2 Variables and Types of Data

1-3 Data Collection and Sampling Techniques

Chapter 1 Quiz Review

Stats Chapter 2 - Frequency Distributions and Graphs

2-1 Organizing Data

2-2 Histograms, Frequency Polygons, and Ogives

2-3 Other Types of Graphs

Chapter 2 Test Review

Stats Chapter 3 - Data Description

3-1 Measures of Central Tendency

3-2 Measure of Variation

3-3 Measures of Position

3-4 Exploratory Data Analysis

Chapter 3 Test Review

Stats Chapter 4 - Probability and Counting Rules

4-1 Sample Spaces & Probability

4-2 The Addition Rules for Probability

4-3 The Multiplication Rules and Conditional Probability

4-4 Counting Rules

4-5 Probability and Counting Rules

Stats Chapter 5

5-1 Intro & Probability Distributions

5-2 Mean, Variance, and Expectation

5-3 The Binomial Distribution

Chapter 5 Review

Stats Chapter 6

6-1 Intro & Properties of the Normal Distribution

6-2 Applications of the Normal Distribution

6-3 The Central Limit Theorem

6-4 The Normal Approximation to the Binomial Distribution

Chapter 6 Review

Stats Chapter 7

7-1 Confidence Intervals for the Mean (σ  known)

7-2 Confidence Intervals for the Mean (σ  unknown or n < 30)

7-3 Confidence Intervals and Sample Size for Proportions

7-4 Confidence Intervals for Variances and Standard Deviations

Chapter 7 Summary and Review

Fractal Math

Introduction to Fractals and Sierpinski Pyramid

Combinatorics

Stats Chapter 8

Stats Chapter 9

9-1 & 9-2 Intro and Steps in Hypothesis Testing

9-3 Large Sample Mean Test

9-4 Small Sample Mean Test

9-5 Proportion Test