Dr. Jean Nicolas Pestieau

Assistant Professor - Mathematics

Shinnecock 223

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pestiej@sunysuffolk.edu

(631) 548-3585

 

 

 

 

   

The Sacks spiral, a number spiral devised by Robert Sacks in 1994, reveals the distribution of the primes.

[click here to read more about the Sacks spiral]

 

 

 

·        MAT101 – A Survey of Mathematical Reasoning   [Course Outline]

 

1 – Set Theory                                   

How big is infinity?  These introductory notes explain the arithmetic of transfinite cardinals.  This presentation introduces the formalism behind the quantification of infinities.

 

2 – Logic                                                                   

 

3 – Mathematical Induction

What is mathematical induction?  These notes serve as a quick overview of this principle.

 

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·        MAT102 – A Survey of Contemporary Mathematical Topics   [Course Outline]

                                                                                     

1 – Number Theory 

            Assignment1 [Avg = 69]

 

2 – Combinatorics & Probability   

            Probabilities of Poker Hands

            Assignment2 [Avg = 70]

           

3 – Geometry

            Below are two chapters from Timothy Gowers’s Mathematics: A Very Short Introduction (Oxford).       

            Here is his chapter on Dimension.

            Here is his chapter on Geometry.

 

4 – Graph Theory

 

5 – Group Theory

                                                           

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·       MAT007 – Algebra I   [Course Outline]

 

1 – The Basics

2 – Linear Equations and Inequalities  

     3 – Graphing                        

            4 – Systems of Linear Equations

5 – Polynomials I – Operations

6 – Polynomials II - Factoring

            7 – Rational Expressions

      8 – Roots and radicals         

                            

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·       MAT111 – Algebra II   [Course Outline]

 

1 – Elementary Algebra Review

2 – Linear Equations and Inequalities in One Variable

     3 – Linear Equations and Inequalities in Two Variables

      4 – Systems of Linear Equations and Inequalities

      5 – Polynomials and Exponents

      6 – Rational Expressions

      7 – Rational Exponents and Roots

      8 – Quadratic Equations     

         

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·       MAT121 – Finite Mathematics   [Course Outline] [List of homework problems]

 

1 – Introduction to Matrix Algebra

            Exam1 [Avg = 67]

            Corrections1

 

2 – Game Theory                 

3 – Markov Chains   

            Exam2 [Avg = 72]

            Corrections2 

4 – Systems of Linear Equations

            Exam3

            Corrections3

            5 – Linear Programming

                        Take-Home Exam

                                     

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·       MAT124 – Fundamentals of Precalculus I   [Course Outline] [List of homework problems]

 

1 – Functions and Their Graphs

            Exam1 [Avg = 76]

            Corrections1

 

            2 – Polynomial and Rational Functions

            Exam2 [Avg = 69]

                        Corrections2

 

            3 – Exponential and Logarithmic Functions

                        Exam3

                        Corrections3

 

4 – Introduction to Trigonometric Functions

                        Take-Home Exam

                       

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·       MAT131 – Calculus for Non-Science Majors   [Course Outline]

 

1 – Linear Models: Linear Functions

2 – Nonlinear Models: Quadratic, Logarithmic and Exponential Functions                          

3 – Introduction to the Derivative

                        3.1        Limits and Continuity

                        3.2       The Derivative: Definitions                                   

                        3.3       Sum and Constant Multiple Rules

3.4       Marginal Analysis                           

4 – Techniques of Differentiation

                        4.1        Product and Quotient Rules

4.2       The Chain Rule

4.3       Derivatives of Logarithmic and Exponential Functions

5 – Applications of the Derivative

                        5.1        Finding Extrema Points and the First-Derivative Test                          

5.2       Optimization Problems

                        5.3       Analyzing Graphs and the Second-Derivative Test

5.4       Related Rates

                        5.5       Elasticity                   

6 – Introduction to the Integral

            6.1        The Indefinite Integral                               

            6.2       The Definite Integral and the Fundamental Theorem of Calculus                              

7 – First-Order Separable Differential Equations (if time permits)

 

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·       MAT141 – Calculus with Analytic Geometry I   [Course Outline]

 

1 – Limits and Continuity

2 – The Derivative

3 – Applications of the Derivative

4 – The Differential and Antiderivative

5 – The Definite Integral

6 – Applications of the Definite Integral