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MATH 100 - Survey of Mathematical Ideas
Course Information
- Section 01 Syllabus (9:30-10:45)
- Section 01 Class List with e-mail addresses
- Section 02 Syllabus (11:00-12:15)
- Section 02 Class List with e-mail addresses
Lecture Notes
- 8-26-08: Inductive/deductive reasoning
- 8-28-08: The art of problem solving
- 9-2-08: Venn Diagrams and Set Operations
- 9-4-08: Homework problems on Set Operations
- 9-11-08: Homework problems from 2.5 and 3.1
- 9-16-08: Homework problems from 3.2
Lecture slides
- 8-26-08: Inductive reasoning
- 8-26-08: Number Patterns
- 8-28-08: Problem Solving Strategies
- 8-28-08: Basic Set Theory
- 9-2-08: Venn Diagrams and Subsets
- 9-2-08: Set Operations and Cartesian Products
- 9-4-08: Surveys and Cardinal Numbers
- 9-4-08: Infinite Sets and Their Cardinality
- 9-9-08: Statements and Quantifiers
- 9-9-08: Truth Tables and Equivalent Statements
- 9-11-08: The Conditionals and Circuits
- 9-11-08: More on the Conditional
- 9-16-08: Analyzing Arguments with Euler Diagrams
- 9-16-08: Analyzing Arguments with Truth Tables
- 9-18-08: History of Numeration
- 9-18-08: Arithmetic in the Hindu-Arabic System
- 9-25-08: Converting Between Number Bases
- 9-25-08: Prime and Composite Numbers
- 9-30-08: Topics in Number Theory
- 9-30-08: Greatest Common Factor/Least Common Multiple
- 10-2-08: Fibonacci Sequence and Golden Ratio
- 10-9-08: Transformational Geometry
- 10-9-08: Non-Euclidean Geometry, Topology, and Networks
- 10-14-08: Basic Concepts of Graph Theory
- 10-14-08: Euler Circuits
- 10-16-08: Hamilton Circuits and Algorithms
- 10-16-08: Trees and Minimum Spanning Trees
- 10-21-08: Counting by Systematic Listing
- 10-21-08: The Fundamental Counting Principle
- 10-28-08: Permutations and Combinations
- 10-28-08: Pascal's Triangle
- 10-30-08: Counting Involving "Not" and "Or"
- 10-30-08: Probability and Odds
- 11-4-08: Events involving "Not" and "Or"
- 11-4-08: Conditional probability; Events Involving "And"
- 11-6-08: Binomial Probability
- 11-6-08: Expected value
- 11-11-08: Visual Displays of Data
- 11-11-08: Measures of Central Tendency
- 11-13-08: Measures of Dispersion
- 11-13-08: Measures of Position
- 11-18-08: The Normal Distribution
- 12-2-08: Regression and Correlation
