Math 104, Class Notes

• [6/11]
  • 10.1 Percent
• [6/12]
  • 10.2 Simple Interest
  • 10.3 Compound Interest
• [6/13]
  • 10.4 Fixed Installment Loans
• [6/14]
  • 10.5 Mortgages
• [6/18]
  • 2.1 Set Notation
• [6/19]
  • 2.2 Subsets
  • Test 1
• [6/20] (This could change based on your interest)
  • 2.3 Venn Diagrams and Set Operations
  • 2.4 2.5 Venn Diagrams of Three Sets
• [6/21]
  • 3.1, 3.2, 3.3 Introduction to Logic
• [6/25]
  • 3.4 Equivalent Statements
  • 3.5 Valid Arguments
• [6/26]
  • 11.1 Introduction to Probability
• [6/27]
  • 11.2 Odds
  • 11.3 Expected Value
• [6/28]
  • Test 2, Chapter 2-3
• [7/2]
  • 11.4 Tree Diagrams
  • 11.5 And/Or Problems
• [7/3]
  • 11.6 Conditional Probability
  • 11.7 Counting Principle and Permutations, Combinations, Applications.
• [7/5]
  • 12.1 Introduction, Sampling, and the Missuse of Statistics.
• [7/9]
  • Test 3, Chapter 11.
  • 12.2 Frequency Distributions and Statistical Graphs
• [7/10]
  • 12.3 Measures of Central Tendency
  • 12.4 Measures of Dispersion
• [7/11]
  • 12.5 The Normal Curve.
• [7/12]
  • Final Exam, Chapter 2, 3, 10, 11, 12

The following is the course outline for this class:

Cover all of the following:

1. Mathematics of Finance
   1. Interest (Simple, Compound, APR)
   2. Installment Buying, Mortgages, and other Financing
   3. Investments
   4. Other Personal and Business Applications and Decisions
2. Sets
   1. Set Concepts
   2. Subsets
   3. Venn Diagrams and Set Operations
   4. Venn Diagrams With Three Sets
   5. Applications of Sets
3. Probability
   1. Fundamental Counting Principle
   2. Empirical and Theoretical Probabilities
   3. Odds
   4. Probability Rules
   5. Mutually Exclusive Events
   6. Independent and Dependent Events
   7. Conditional Probability
4. Statistics
   1. ata and Sampling
   2. Graphical Displays of Data
   3. Measures of Central Tendency
   4. Measures of Variability
   5. Measures of Position
   6. Introduction to Distributions and the Normal Distribution

   Choose at least two of the following topics: (V-XII)

5. Number Theory and The Real Number System
   1. Number Theory
   2. Arithmetic and Geometric Sequences
   3. The Fibonacci Sequence
   4. The Golden Ratio
6. Mathematical Systems
   1. Groups
   2. Finite Mathematical Systems
   3. Modular Arithmetic
7. Graph Theory
   1. Graphs, Paths, and Circuits
   2. Euler Paths and Euler Circuits
   3. Hamilton Paths and Hamilton Circuits
   4. Trees
8. Probability and Statistics
   1. Expected Value
   2. Probabilities Involving Permutations and Combinations
   3. Linear Correlation and Regression
   4. Other Applications^* (e.g., Introduction to Inference, Binomial Probabilities and Distribution, etc.)
9. Systems of Linear Equations and Inequalities
   1. Introduction
   2. Solving By Substitution Method
   3. Solving By Elimination Method
   4. Applications of Systems of Linear Equations
   5. Solving Systems of Linear Inequalities
   6. Linear Programming and Applications
   7. Other Methods ^* (e.g., Simplex Method, Solve By Using Matrices, etc.)
10. Logic
    1. Introduction and Notation
    2. Truth Tables
    3. Equivalent Statements and De Morgan's Laws
    4. Symbolic Arguments
    5. Euler Diagrams and Syllogistic Arguments
    6. Applications
11. Voting and Apportionment
    1. Voting Methods
    2. Flaws of Voting
    3. Apportionment Methods
    4. Flaws of the Apportionment Methods
12. Geometry
    1. Transformational Geometry
    2. Non-Euclidean Geometry
    3. Topology
    4. Chaos and Fractal Geometry