Mathematica In Education Meet-Up

Ed Conjura
Professor of Mathematics
The College of New Jersey

Mathematica in courses at TCNJ

   Regular Courses
          Calculus 
           Linear Algebra
           Number Theory         
           Ordinary Differential Equations  
           Geometry         
           Computational Mathematics           
           Probability           
           Topology           
           Mathematics Capstone           
           Applied Mathematics Capstone

Topics Courses       
	Mobius Functions
	Cryptography
	Chaos
	Dynamical Systems
	Galois Theory
	Seminar in Analysis

Technology Competency Guidelines
     -Define Levels of Competency
	Level 1: Exposure to technology with a focus on visualization, 
		   its use as an aid in learning through demonstration,
		   its use in doing complicated computations, and its
		   use for solving complex mathematical problems.
		Note: The focus at level 1 is not on the assessment
		          of student mastery.

Level 2: Technology will be integrated into the entire learning
	        process. Students are taught how to use technology in
	        their study of mathematics and statistics and will be 
	        expected to demonstrate mastery of nontrivial concepts 
	        through a formal assessment process.

Level 3: Students will be able to apply technology to solve
                   difficult and possibly open ended problems, design 
                   algorithms, and implement algorithms to produce 
                   a working solution to a problem

Regular Courses
           Calculus-Level 1and Level 2 in Calc C
           Linear Algebra-Level 1
           Number Theory-Level 2         
           Ordinary Differential Equations-Level 2 
           Geometry-Level 1 and Level 2         
           Computational Mathematics-Level 3           
           Probability-Level 1           
           Topology-Level 1           
           Mathematics Capstone-Level 2          
           Applied Mathematics Capstone-Level 3

Topics Courses       
	Mobius Functions-Level 1 and Level 2
	Cryptography-Level 1 and Level 2
	Chaos-Level 1 and Level 2
	Dynamical Systems-Level 1 and Level 2
	Galois Theory-Level 1 and Level 2
	Seminar in Analysis-Level 1 and Level 2

Mat341: Computational Mathematics
             Prereqs: Calculus, Linear Algebra and 
                          Proof Writing through Discrete Mathematics
                          
            Note: All but Topic 5 are taught using Mathematica              
         Topic 1: An Introduction To Mathematica
	Topic 2: Functions and Programming
	Topic 3: Lists and Sets
	Topic 4: Counting and Some Number Theoory
	Topic 5: Excel/VBA 
	Topic 6: Numerical Problems 
	Topic 7: Some Linear Algebra Concepts
	Topic 8: Determinants
	Topic 9: Some Differential Equations using Linear Algebra
	Topic 10: Numerical Approximations to 
	              Ordinary Differential Equations
	Topic 11: Monte Carlo Methods
	Topic 12: Graphs and Trees
	Topic 13: Searching and Sorting