Dr. Jean Nicolas
Pestieau
Assistant Professor -
Mathematics
Shinnecock 223
____________________________________________
(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 Day Class] [Course Outline Night Class]
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.
Exam 1 [Avg (day class) = 59] [Avg (night class) = 64]
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
2 Combinatorics & Probability
Assignment2
3 Geometry
Below are two chapters from Timothy
Gowerss Mathematics: A Very Short Introduction (Oxford).
Here is his chapter on Dimension.
Here is his chapter on Geometry.
4 Graph Theory
Assignment3
Assignment4
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
2 Game Theory
3 Markov Chains
4 Systems of Linear
Equations
5 Linear Programming
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· MAT124 Fundamentals of Precalculus I [Course Outline] [List of homework problems]
1 Functions and Their Graphs
2 Polynomial
and Rational Functions
3 Exponential and Logarithmic
Functions
4 Introduction
to Trigonometric Functions
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· MAT131 Calculus for Non-Science Majors [Course Outline]
[List of homework problems]
0 Algebraic and Pre-Calculus Review
1 Linear and Nonlinear Models
2 Introduction to the Derivative
2.1 Limits
2.2
The Derivative: Definitions
Exam 1
[03/04][Avg = 70]
3 More on Differentiation: Techniques and Applications
3.1 Sum and Constant Multiple Rules
3.2 Marginal Analysis
3.3 Product and Quotient Rules
3.4 The Chain Rule
3.5 Derivatives of Logarithmic and Exponential Functions
Exam2
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
Exam 3
6 Introduction to the Integral
6.1 The Indefinite Integral
6.2 The Definite Integral and the Fundamental
Theorem of Calculus
Take-Home Exam 4
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