
Rectangular Coordinates, Functions, and Analysis of linear Functions 


1  (120) 

Real Numbers, Logic, and Coordinate Systems 


2  (10) 

Introduction to Relations and Functions 


12  (14) 


26  (18) 

Equations of Lines and Geometric Considerations 


44  (15) 

Solution of Linear Equations; Analytic Method and Graphical Support 


59  (13) 

Solution of Linear Inequalities; Analytic Method and Graphical Support 


72  (12) 


84  (11) 

Other Applications of Linear Functions 


95  (26) 


110  (2) 


112  (5) 


117  (2) 

Project Modeling The Growth of The World's Tallest Man 


119  (2) 

Analysis of Graphs of Functions 


121  (82) 

Graphs of Elementary Functions and Relations 


122  (14) 

Vertical and Horizontal Shifts of Graphs of Functions 


136  (12) 

Stretching, Shrinking, and Reflecting Graphs of Functions 


148  (11) 

The Absolute Value Function: Graphs, Equations, Inequalities, and Applications 


159  (14) 

Piecewise Defined Functions 


173  (9) 

Further Topics in the Study of Functions 


182  (21) 


193  (3) 


196  (3) 


199  (1) 

Project Modeling a Trip from One Point to Another, Using a Piecewise Defined Function 


200  (3) 


203  (112) 


204  (7) 

Quadratic Functions and Their Graphs 


211  (12) 

Solution of Quadratic Equations and Inequalities 


223  (15) 

Applications of Quadratic Functions and Models 


238  (13) 

Higher Degree Polynomial Functions and Their Graphs 


251  (17) 

Topics In the theory of Polynomial Functions (I) 


268  (11) 

Topics In The Theory of Polynomial Functions (II) 


279  (9) 

Solution of Polynomial Equations and Inequalities and their Applications 


288  (27) 


304  (3) 


307  (5) 


312  (1) 

Project Creating Your Personal Social Security Polynomial 


313  (2) 

Rational, Root, and Inverse Functions 


315  (80) 

Graphs of Rational Functions 


315  (18) 

Rational Equations, Inequalities, and Applications 


333  (15) 


348  (13) 

Root Equations, Inequalities, and Applications 


361  (12) 


373  (22) 


386  (2) 


388  (3) 


391  (1) 

Project How Rugged is your Coastline? 


392  (3) 

Exponential and Logarithmic Functions 


395  (71) 

Introduction to Exponential Functions 


396  (12) 

Logarithms and Their Properties 


408  (11) 

Introduction to Logarithmic Functions 


419  (11) 

Exponential and Logarithmic Equations and Inequalities 


430  (11) 

Applications and Modeling with Exponential and Logarithmic Functions 


441  (25) 


457  (3) 


460  (3) 


463  (1) 

Project California's Prison Population 


464  (2) 

The Conic Sections and Parametric Equations 


466  (50) 


467  (14) 


481  (13) 

Summary of the Conic Sections 


494  (10) 


504  (12) 


509  (2) 


511  (2) 


513  (1) 

Project Modeling the Path of a Bouncing Ball using a Piecewise Defined Function 


514  (2) 

Matrices and Systems of Equations and Inequalities 


516  (93) 


517  (16) 

Solution of Linear Systems by the Echelon Method 


533  (9) 

Solution of Linear Systems by Row Transformations 


542  (11) 


553  (12) 

Determinants and Cramer's Rule 


565  (10) 

Solution of Linear Systems by Matrix Inverses 


575  (9) 

Systems of Inequalities and Linear Programming 


584  (10) 


594  (15) 


599  (2) 


601  (3) 


604  (2) 

Project Findings Polynomial that goes Through any Number of Given Points Using A Matrix 


606  (3) 

The Trigonometric Functions and Applications 


609  (94) 

Angles and their Measures 


610  (13) 


623  (8) 

The trigonometric Functions and the Fundamental Identities 


631  (12) 

Evaluating Trigonometric Functions 


643  (11) 

Applications of Right Triangle Trigonometry 


654  (13) 

Analysis of the Sine and Cosine Functions 


667  (15) 

Analysis of Other Circular Functions 


682  (21) 


692  (5) 


697  (3) 


700  (1) 

Project What Time is Sunset? 


701  (2) 

Trigonometric Identities and Equations 


703  (60) 

Identities: Analytic Verification and Graphical Support 


704  (9) 


713  (17) 

The Inverse Circular Functions 


730  (13) 

Trigonometric Equations and Inequalities 


743  (5) 

Further Equations and Inequalities 


748  (15) 


755  (2) 


757  (3) 


760  (1) 

Project Modelling Damped Pendulum 


760  (3) 

Applications of Trigonometry; Vectors 


763  (66) 


764  (11) 

The Law of Cosines and Area Formulas 


775  (9) 

Vectors and Their Applications 


784  (11) 

Trigonometric (Polar) Form of Complex Numbers 


795  (9) 

Powers and Roots of Complex Numbers 


804  (6) 

Polar Coordinates and Polar Equations 


810  (19) 


820  (3) 


823  (3) 


826  (1) 

Project When is a Circle Really a Polygon? Investigating Polar Circles 


827  (2) 

Further Topics in Algebra 


829  (65) 


830  (8) 

Arithmetic Sequences and Series 


838  (7) 

Geometric Sequences and Series 


845  (10) 


855  (7) 


862  (6) 


868  (9) 


877  (17) 


885  (4) 


889  (2) 


891  (1) 

Project Using Experimental Probabilities to Simulate The Makeup of a Family 


891  (3) 

Reference: Basic Algebraic Concepts 


894  

Review of Rules for Exponents and Operations with Polynomials 


894  (6) 


900  (6) 

Review of Operations with Rational Expressions 


906  (7) 

Review of Negative and Rational Exponents 


913  (7) 


920  
Answers To Selected Exercises 

A1  (1) 
Index of Applications 

I1  (1) 
Index 

I6  