Math 104, Class Notes

• Chapter 10: Financial Math
  • 1/16 Percent
  • 1/18 Simple Interest
  • 1/23 Compound Interest
  • 1/25 Fixed Installment Loans
  • 1/28 Mortgages
  • 2/1 Review/Overflow
  • 2/4 Test 1
  • Some thoughts on Test 1 results.
• Chapter 2: Sets
  • 2/8 Set Notation
  • 2/11 Subsets
  • 2/13 2/13 Venn Diagrams and Set Operations
  • 2/15 Venn Diagrams of Three Sets/Applications
• Chapter 3: Logic
  • Statements and Connectives
  • 2/18 Truth Tables for Negation, Conjunction and Disjunction
  • 2/22 Truth Tables for Conditional and Biconditional
  • 2/25 Equivalent Statements
  • 2/27 Test 2
  • 3/1 Euler Diagrams and Syllogistic Arguments
• Chapter 12: Statistics
  • 3/11 Sampling, and the Misuses of Statistics.
  • Test Stats
  • 3/13 Frequency Distributions and Statistical Graphs
  • 3/15 Measures of Central Tendency
  • 3/18 Measures of Dispersion
  • 3/20 The Normal Curve.
  • 3/22 The Normal Curve.
  • 3/25 Linear Correlation and Regression
  • 3/27 Test 3.
• Chapter 11: Probability
  • 3/29 Empirical and Theoretical Probabilities
  • 4/1 Odds
  • 4/3 Expected Value
  • 4/5 Tree Diagrams
  • 4/8 And/Or Problems
  • 4/10 Counting Principle and Permutations
  • 4/12 Conditional Probability
  • 4/15 Combinations
  • 4/17 Applications of Combinations
  • 4/19 Binomial Probability Formula
• Make Up Material
  • 4/22 Chapter 10 Review and Ordinary Annuities, Sinking Funds and Retirement Investments
  • 4/24 Sets and Logic
  • 4/26 Statistics and Probability
  • 4/29 Review Conclusion.

  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. Data 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
  * Optional content.