DM Syllabus Outline

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