Syllabus Outline – Topics Defined
Logic, Sets and Probability
1) Set Theory – Venn diagrams, subsets, set operations
2) Logic – inductive, deductive reasoning, quantified/compound statements
3) Truth Tables – equivalence, tautology, contradiction
4) Probability
Descriptive Statistics
1) Data displays
2) Measures of central tendency
3) Measures of dispersion
Statistical Applications
1) The Normal distribution/standard deviation
2) Correlation/line of regression
3) Chi-squared hypothesis testing
Course Project
1) Project overview/scoring rubric
2) Mini project activities
3) Sample projects/scoring practice
4) Project assignment/timeline and due dates
Number Theory and Algebra
1) Real number sets/notation
2) Solving systems/Linear programming
3) Ancient numeration systems
4) Prime/composite numbers
5) Number bases in positional systems, computation
Mathematical Models
1) Linear/quadratic models
2) Exponential Models
3) Polynomial Models
Financial Mathematics
1) Arithmetic/Geometric sequences and series
2) Interest Rates
3) Revolving Credit
4) Mortgages
Geometry and Trigonometry
1) 2-dimensional figures
2) Right triangle trigonometry
3) Law of Sines, Cosines
4) 3-dimensional solids – volume, surface area
Differential Calculus
1) Derivatives
2) Equations of tangent lines
3) Maxima, minima, optimization
Voting and Apportionment
1) Voting methods/flaws
2) Apportionment methods/flaws
Graph Theory
1) Euler paths/circuits
2) Hamilton paths/circuits