Kit de sobrevivência da Matemática - Edição Maple

 

* Segue alguns dos principais tópicos matemáticos do original: Todas os assuntos matemáticos estão totalmente traduzidos para o idioma português do Brasil, uma exclusividade com parceiros da Inovatisoft...!!! 

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The Mathematics Survival Kit - Maple Edition 

Version 2 

Jack Weiner 

Table of Contents 

 

Getting Started on Survival 

 

Operation Cooperation and Fraction Traction 

 

Factoring: A Product of Practice 

Difference of Squares 

Difference of Cubes 

Factoring and   

Common Factors 

Factoring Easy Trinomials 

The Remainder and Factor Theorems for Polynomials 

 

Pliable Polynomials 

 

The Straight Goods on Lines and Planes 

 

A Few Lines on Linear Algebra 

Solving Two Linear Equations Using Substitution 

Solving Two Linear Equations Using Row Reduction 

Consistent, Inconsistent and Dependent Systems of Linear Equations 

 

Giving the Third Degree to Second Degree Polynomials: Quadratics! 

Solving Quadratic Equations Using the Quadratic Formula 

Factoring Quadratic Equations Using the Quadratic Formula 

Problems Involving the Sum and Product of the Roots of a Quadratic Equation 

The Graph of  

 

Solving Inequalities with Less (<) Difficulty, Greater (>) Ease 

Solving Linear Inequalities 

Solving Quadratic Inequalities 

Solving Inequalities with Two or More Factors 

 

Increasing the Magnitude of Your Absolute Value Knowledge 

The Basics of Absolute Value 

Solving Absolute Value Equations 

Solving Easy Absolute Value Inequalities 

 

Getting to the Root of Square Roots 

The Basics of Square Root and the Reason  

Solving Equations Involving Square Roots 

Rationalizing Denominators that Have  

 

Some Basic Graphs and Some Basics about Graphs 

Graphs of Basic Quadratic Relations 

Basic    Graphs, where   (Even and Odd Functions) 

Basic   Graphs, where  

Basic   Graphs, where   

Shifting or Rescaling a Given Graph 

Tests for Symmetry 

Graphing Polynomials without Calculus 

Vertical and Horizontal Asymptotes 

Slant Asymptotes 

Graphs with the Greatest Integer Function 

 

The Survival Kit Logs Powerful Time with Exponents and Logarithms 

Properties of Exponents 

Properties of Logarithms 

Basic Exponential Graphs 

Basic Logarithmic Graphs 

Inverse Formulas for Exponents and Logarithms 

Solving Exponential Equations 

Solving Logarithmic Equations 

The Derivative of and   

The Derivative of   and   

Log Differentiation Part I 

Log Differentiation Part II: The derivative of  

Integrals Yielding ln:  

 

Drawing Your Attention to Some Basic Geometry 

 

Angling Right in on Trigonometry 

Angles in Standard Position 

Related Angles in Standard Position 

Trig Ratios for the (, , ) Triangle 

Trig Ratios for the (, , ) Triangle 

Trig Ratios for  , , , , , and More - A Table! Trig Ratios for , , , , , and More - A (Fabulous) Picture!! 

Basic Trigonometric Graphs 

The Circle Definition of Sine and Cosine 

Solving the Trig Equation   

Solving the Trig Equation   

Commonly Used Trigonometric Formulas Including Derivatives and Integrals 

 

A Straightforward Approach to Limits 

Easy Limits: "No Problem" Problems 

"0/0" Limits 

One-sided Limits 

Limits which Approach  

Limits at Infinity 

AnLimit:  

Variations on 

 

Continuity (There's a Hole in the Function, Dear Liza, Dear Liza) 

Domain (Food for a Function!) 

Continuity and Discontinuity at a Point 

Continuous Functions (Intervals of Continuity) 

Continuity and Branch Functions 

 

Derivatives or Going on a Tangent about Slopes 

Finding the Derivative from the Definition 

Differentiable Functions (Intervals of Differentiability) 

Differentiability and Branch Functions 

Critical Numbers 

Min and Max Points from the First Derivative 

Graphing and Interpreting   versus   versus   

Graph Sketching with Calculus 

Graph Sketching with Calculus: Vertical Tangent! 

Estimating Using the Differential 

 

Derivative Rules Rule 

Derivatives: The Product Rule 

Derivatives: The Chain Rule 

Derivatives: The Quotient Rule 

Derivatives: Implicit Differentiation 

Derivatives: Implicit Differentiation Second Derivative 

 

Integrating Your Knowledge about the Anti-Derivative 

Easy Integrals/Anti-Derivatives 

Easy Integrals that Need a Little Tweaking 

The Chain Rule In Reverse (CRIR): No Adjustments Needed! 

CRIR: Adjustments Needed BUT Don't Use Substitution! 

CRIR: Adjustments Needed and Using Substitution 

Substitution when the CRIR Won't Work 

Integration by Parts: The Basic Examples 

Integration by Parts: Circular Integration By Parts 

Integration by Parts: The Tan-Sec Connection 

The Derivative of an Integral 

 

Inverse Functions: Now that's a Switch! 

Derivatives of Inverse Functions 

 

Warming Up to Polar Coordinates 

Polar to Rectangular Coordinates; Rectangular to Polar Equations 

Rectangular to Polar Coordinates; Polar to Rectangular Equations 

 

Going to Any Lengths to Give You New Direction with Vectors 

(Very) Basic Vectors 

The Dot or Scalar or Inner Product of Two Vectors 

The Vector or Cross Product of Two Vectors 

The Vector Equation of a Line 

The Vector Equation of a Plane 

The Scalar Equation of a Plane: Ax + By + Cz = D 

Intersection of Two Lines in : Parallel/Coincident Case 

Intersection of Two Lines in : Non-Parallel/Non-Coincident Case 

Intersection of Two Planes 

Intersection of Three Planes: Parallel/Coincident Case 

Intersection of Three Planes: Non-Parallel/Non-Coincident Case 

 

A Few Terms in Sequences and Series and a Sampling of Statistics 

Summation Notation and Common SUM=  Formulas 

Arithmetic and Geometric Sequences and Series 

Combinations and Permutations: Choosing and Arranging 

Mean, Median, Mode and Standard Deviation 

The Binomial Theorem