Dr. Jean Nicolas
Pestieau
Assistant Professor
Mathematics
Suffolk County
Community College
Eastern Campus
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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] [List of homework problems]
Set Theory
Here are two interesting questions
related to infinite sets.
ุ How big is infinity? These introductory notes shed some light on the arithmetic of
transfinite cardinals.
This presentation
introduces the
formalism behind the quantification of infinities.
ุ How can one ball be cut to yield two
identical balls? The Tarski-Banach
paradox is a striking illustration
of the strange properties of infinite
sets.
[Extra-credit
assignment]
[Exam
1]
Logic
[Exam 2]
ุ What is the implication of
implication? Here is how the famed mathematician
Timothy Gowers answers this tricky
question.
[Assignment 3 The conditional
+ circuits]
Assignment 4 Arguments]
[Extra-credit
assignment - Logical puzzles + arguments from Alice in Wonderland]
[Sample final exam]
Mathematical Induction
ุ What is mathematical induction? These notes present a quick overview of this
principle.
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MAT102 A Survey of Contemporary
Mathematical Topics [Course Outline]
Number Theory
[Assignment
1]
Combinatorics & Probability
ุ Here are the probabilities
of poker hands.
[Assignment
2]
Non-Euclidian 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.
Graph Theory
[Assignment
3]
[Assignment
4]
Graph theory can be used to solve old
problems in the standard framework of Euclidian geometry.
ุ This presentation shows the existence proof of the five
platonic solids using graphs.
Group Theory
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MAT007
Algebra I [Course Outline]
The Basics
Linear Equations and
Inequalities
Graphing
Systems
of Linear Equations
Polynomials
I Operations
Polynomials
II - Factoring
Rational Expressions
Roots and radicals
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MAT111
Algebra II [Course Outline]
Elementary Algebra
Review
Linear Equations and Inequalities
in One Variable
Linear Equations and Inequalities in Two
Variables
Systems of Linear Equations and Inequalities
Polynomials and Exponents
Rational Expressions
Rational Exponents and Roots
Quadratic Equations
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MAT121 Finite Mathematics [Course Outline]
[List of homework problems]
Introduction
to Matrix Algebra
Game
Theory
Markov
Chains
Systems
of Linear Equations
Linear Programming
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MAT124 Fundamentals of Precalculus I
[Course
Outline] [List of homework problems]
Functions and Their
Graphs
Polynomial
and Rational Functions
Exponential and
Logarithmic Functions
Introduction
to Trigonometric Functions
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MAT131 Calculus for Non-Science Majors
[Course Outline] [List
of homework problems]
Algebraic and
Pre-Calculus Review
Linear and Nonlinear Models
Introduction to the
Derivative
Limits
The Derivative: Definitions
[Exam 1]
Differentiation:
Techniques and Applications
Sum
and Constant Multiple Rules
Marginal Analysis
Product and Quotient
Rules
[Exam 2]
The Chain Rule
Derivatives of
Logarithmic and Exponential Functions
Applications of the
Derivative
Finding
Extrema Points and the First-Derivative Test
Optimization Problems
Analyzing Graphs and the
Second-Derivative Test
Related Rates
Elasticity
[Exam 3]
Introduction to the
Integral
The Indefinite Integral
The Definite Integral and the Fundamental Theorem of
Calculus
[Take-Home Exam 4]
[Sample Final Exam]
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MAT141
Calculus with Analytic Geometry I [Course Outline]
Limits and Continuity
The Derivative
Applications of the
Derivative
The Differential and
Antiderivative
The Definite Integral
Applications of the
Definite Integral