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My Math education studies on integrating technology into math classrooms montreal quebec canada

posted: November 14, 2009, 12:08 PM

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Math Montreal Video Solutions for University Students are based on the following topics:

posted: November 8, 2009, 05:15 PM

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Math Montreal Video Solutions for University Students are based on the following topics: www.24yahoo.com Fundamental Concepts of Algebra

Real Numbers

Fundamentals of Algebra

Linear Equations

Equations & Inequalities

Exponents & Polynomials

Factoring

Rational Expressions & Equations

Systems of Linear Equations

Roots & Radicals



Elementary Functions

Lines

What is a Function?

Graphs of Functions

Transformations of Functions

Quadratic functions maxima and minima

Combining Functions

One-to-One Functions and Their Inverses

Exponential Functions

Logarithmic Functions

Laws of Logarithms

Exponential and Logarithmic Equations

Angle Measure

Trigonometry of Right Angles

Trigonometric Functions of Angles

The Law of Sines

The Law of Cosines

The Unit Circle

Trigonometric Functions of Real Numbers

Trigonometric Graphs

Trigonometric Identities

Addition and Subtraction Formulas

Double-Angle, Half-Angle and Sum-Product Formulas

Inverse Trigonometric Functions

Trigonometric Equations



College Algebra

Quadratic Equations

Division of Polynomials

Factors and Real Zeros

Graphs of Polynomials

More about Real Zeros of Polynomials

Rational Expressions

Graphs of Rational Functions

Complex Numbers

Trig Form, de Moivre's Theorem

Complex Zeros of Polynomials

Mathematical Induction

Arithmetic Sequences and Series

Summation Convention

Geometric Sequences and Series

The Binomial Theorem

Permutations

Combinations



Differential & Integral Calculus I

Functions and their graphs

Identifying functions

Combining Functions; Shifting & Scaling Graphs

Exponential functions

Inverse functions (including inverse sine and cosine) and logarithms

Rates of change and Limits

Calculating limits Using the Limit Laws

One-Sided Limits & Limits at infinity

Infinite Limits, vertical Asymptotes

Continuity

Tangents and Derivatives

Derivative as a function

Differentiation Rules for Polynomials, Exponentials

Products and Quotients

Derivatives of trigonometric functions

Chain Rule (omit Parametric Equations)

Implicit differentiation

Derivatives of Inverse Functions and Logarithms

Derivatives of Inverse Trigonometric Functions

Related rates

Linearization and Differentials

Extreme Values of Functions

Mean Value Theorem

Monotonic Functions and the First Derivative

Indeterminate forms; L'Hôpital's Rule

Concavity and Curve Sketching

Applied Optimization Problems



Vectors and Matrices

Introduction to Systems of Linear Equations

Gaussian elimination

Matrices and Matrix Operations

Inverses, Rules of Matrix Arithmetic Elementary Matrices and a Method for finding A-1.

Results on Equations and Invertibility

Diagonal, triangular and symmetric matrices

Determinants, Cramer's Rule

Evaluating determinants by row reduction

Application section chosen by the instructor

Vectors in 2-space and 3-space

One application problem given by the instructor

Dot product, Projections

Cross product

Lines and planes in 3-space

Lines and planes in 3-space

Euclidean n-Space

Linear transformations from Rn to Rm

Real Vector Spaces, Subspaces

Linear independence

Basis and Dimension

Eigenvalues, Eigenvectors

Diagonalization

Application



Differential & Integral Calculus II

Estimating with Finite Sums

Sigma Notations and Limits of Finite Sums

The Definite Integral

Anti-derivatives

The Fundamental Theorem of Calculus

Indefinite Integrals and the Substitution Rule

Substitution and Area Between Curves

Basic Integration Formulas

Integration by parts

Integration of Rational Functions by Partial Fractions

Trigonometric Integrals

Trigonometric Substitutions

Improper Integrals

Volumes by Slicing and Rotation About an Axis Work

Sequences

Infinite Series

The Integral Test

Comparison Test

The Ratio and Root Tests

Alternating Series, Absolute and Conditional Convergence

Power Series

Taylor and MacLaurin Series



Algebra & Functions

Polynomials

Factoring Polynomials

Synthetic Division

Algebraic Expressions

nth Roots, Rational Exponents

Linear Equations

Quadratic Equations

Radical Equations, Equation Quadratic in Form; Factorable Equations

Solving Inequalities

Equations and Inequalities involving Absolute Value

Problem Solving

Distance and Midpoint

Graphs of Equations, Intercepts, Symmetry

Lines

Circles

Functions

Graphs of Function

Even and Odd Functions

Library of Functions

Graphing Techniques, Transformations

Mathematical Models

Linear Functions

Quadratic Functions

Quadratic Models

Inequalities involving Quadratic Functions

Polynomial Functions

Properties of Rational Functions

Graph of Rational Function

Polynomial and Rational Inequalities

Composite Functions

One-to-One and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Logarithmic and Exponential Equations

Compound Interest

Exponential Growth and Decay Models

Systems of Linear Equations

Systems of Non-Linear Equations



Fundamental Mathematics I

Graphs and Lines

Quadratic Functions

Quadratic Functions (Polynomial and Rational Functions)

Exponential Functions

Logarithmic Functions

Arithmetic and Geometric Sequences

Simple Interest

Compound Interest

Future Value

Present Value

Systems of Linear Equations

Systems of Linear Equations/Augmented Matrices

Gauss-Jordan Elimination

Matrices: Basic Operations

Inverse of a Square Matrix

Leontief Input-Output

Inequalities in Two Variables

Systems of Linear Inequalities in Two Variables

Linear Programming in Two Dimensions

Basic Counting Principles

Permutations & Combinations

Sample Spaces, Events and Probability

Union, Intersection and Complement of Events

Conditional Probability



Fundamental Mathematics II

Introduction to Limits

Continuity

Infinite limits

The Derivative

Basic Differentiation

Differentials

Marginal Analysis in Business

The constant e & continuous interest

Derivatives of Exponential and

Logarithmic Functions

Derivatives of Products & Quotients

The Chain Rule

Implicit Differentiation

Related rates

Elasticity of Demand

First Derivative and Graph

Second Derivative and Graphs

Curve-sketching techniques

Absolute Maxima and Minima

Optimization

Anti-derivatives

Integration by substitution

Differential Equations; Growth and Decay

The Definite Integral

Fundamental Theorem of Calculus

Area between Curves



Linear Algebra I

Vector Spaces, Subspaces

Linear Combinations,

Systems of Equations

Linear Dependence and Independence

Basis and Dimension

Linear Transformations, Null Spaces, Ranges

Matrix Representation of Linear Transformation

Composition of Linear Transformations,

Matrix Multiplication

Invertibility and Isomorphisms

Change of Coordinate Matrix

Elementary Matrices, Rank of Matrices,

Matrix Inverses, Systems of Equations

Systems of Equations

Summary about Determinants,

Eigenvalues and Eigenvectors

Diagonalizability



Linear Algebra II

Complex Numbers

Vector Spaces over F when F=R or F=C

Matrix [T]β of a linear operator T:V->V, where V is a

finite dimensional vector space and β is a basis of V

The Change of Coordinate Matrix

Eigenvalues and Eigenvectors

Diagonalizability

Diagonalizability

Invariant Subspaces

The Cayley-Hamilton Theorem

Inner Products and Norms

The Gram-Schmidt Orthogonalization Process and

Orthogonal Complements

The Adjoint of a Linear Operator

Normal and Self-Adjoint Operators

Unitary and Orthogonal Operators and Their Matrices

The Jordan Canonical Form I

The Jordan Canonical Form II

The Minimal Polynomial

The Singular Value Decomposition

• Location: Montreal



Sample Math 203 video solutions in montreal by A+ Math tutoring www.24yahoo.com

posted: November 5, 2009, 09:32 AM

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Free Math video solutions by Math montreal quebec canada

posted: November 4, 2009, 11:05 PM

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Math 200, 201, 202, 203, 204, 205, 206, 208, 209, 251,
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