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algebra si geometrie

Basic Concepts 
of Algebra
R.1 The Real-Number System
R.2 Integer Exponents,Scientific Notation,
and Order of Operations
R.3 Addition,Subtraction,and 
Multiplication of Polynomials
R.4 Factoring
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 The Basics of Equation Solving
SUMMARY AND REVIEW
TEST

Graphs, Functions, 
and Models
1.1 Introduction to Graphing
1.2 Functions and Graphs
1.3 Linear Functions,Slope,and Applications
1.4 Equations of Lines and Modeling
1.5 More on Functions
1.6 The Algebra of Functions
1.7 Symmetry and Transformations
SUMMARY AND REVIEW
TEST

Functions, Equations, 
and Inequalities
2.1 Linear Equations,Functions,and Models
2.2 The Complex Numbers
2.3 Quadratic Equations,Functions,and Models
2.4 Analyzing Graphs of Quadratic Functions
2.5 More Equation Solving
2.6 Solving Linear Inequalities
SUMMARY AND REVIEW
TEST

Polynomial and
Rational Functions
3.1 Polynomial Functions and Modeling
3.2 Graphing Polynomial Functions
3.3 Polynomial Division;The Remainder and
Factor Theorems
3.4 Theorems about Zeros of 
Polynomial Functions
3.5 Rational Functions
3.6 Polynomial and Rational Inequalities
3.7 Variation and Applications
SUMMARY AND REVIEW
TEST

Exponential and
Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions and Graphs
4.3 Logarithmic Functions and Graphs
4.4 Properties of Logarithmic Functions
4.5 Solving Exponential and Logarithmic
Equations
4.6 Applications and Models:Growth and Decay,
and Compound Interest
SUMMARY AND REVIEW
TEST

The Trigonometric
Functions
5.1 Trigonometric Functions of Acute Angles
5.2 Applications of RightTriangles
5.3 Trigonometric Functions of Any Angle
5.4 Radians,Arc Length,and Angular Speed
5.5 Circular Functions:Graphs and Properties
5.6 Graphs of Transformed Sine and 
Cosine Functions
SUMMARY AND REVIEW
TEST

Trigonometric Identities,
Inverse Functions, and
Equations
6.1 Identities: Pythagorean and 
Sum and Difference
6.2 Identities: Cofunction,Double-Angle,
and Half-Angle
6.3 Proving Trigonometric Identities
6.4 Inverses of the Trigonometric Functions
6.5 Solving Trigonometric Equations
SUMMARY AND REVIEW
TEST

Applications of
Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Complex Numbers:Trigonometric Form
7.4 Polar Coordinates and Graphs
7.5 Vectors and Applications
7.6 Vector Operations
SUMMARY AND REVIEW
TEST

Systems of Equations
and Matrices
8.1 Systems of Equations in Two Variables
8.2 Systems of Equations in Three Variables
8.3 Matrices and Systems of Equations
8.4 Matrix Operations
8.5 Inverses of Matrices
8.6 Determinants and Cramer’s Rule
8.7 Systems of Inequalities and 
Linear Programming
8.8 Partial Fractions
SUMMARY AND REVIEW
TEST

Analytic 
Geometry Topics
9.1 The Parabola
9.2 The Circle and the Ellipse
9.3 The Hyperbola
9.4
Nonlinear Systems of Equations 
and Inequalities
9.5 Rotation of Axes
9.6 Polar Equations of Conics
9.7 Parametric Equations
SUMMARY AND REVIEW
TEST

Sequences, Series, and
Combinatorics
10.1 Sequences and Series
10.2 Arithmetic Sequences and Series
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 Combinatorics:Permutations
10.6 Combinatorics:Combinations
10.7 The Binomial Theorem
10.8 Probability
SUMMARY AND REVIEW
TEST

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