

1  (37) 


2  (6) 


8  (10) 


18  (20) 


32  (1) 


32  (3) 


35  (1) 


36  (2) 


38  (44) 


39  (6) 


45  (6) 

Venn Diagrams and Set Operations 


51  (8) 

Venn Diagrams with Three Sets and Verification of Equality of Sets 


59  (8) 


67  (7) 


74  (8) 


77  (1) 


78  (1) 


79  (1) 


80  (2) 


82  (65) 

Statements and Logical Connectives 


83  (12) 

Truth Tables for Negation, Conjunction, and Disjunction 


95  (11) 

Truth Tables for the Conditional and Biconditional 


106  (8) 


114  (13) 


127  (8) 

Euler Diagrams and Syllogistic Arguments 


135  (12) 


141  (1) 


142  (2) 


144  (1) 


145  (2) 


147  (35) 

Additive, Multiplicative, and Ciphered Systems of Numeration 


148  (6) 

PlaceValue or PositionalValue Numeration Systems 


154  (6) 


160  (5) 

Computation in Other Bases 


165  (9) 

Early Computational Methods 


174  (8) 


178  (1) 


178  (2) 


180  (1) 


180  (2) 

Number Theory and the Real Number System 


182  (74) 


183  (10) 


193  (8) 


201  (13) 

The Irrational Numbers and the Real Number System 


214  (7) 

Real Numbers and Their Properties 


221  (6) 

Rules of Exponents and Scientific Notation 


227  (10) 

Arithmetic and Geometric Sequences 


237  (8) 


245  (11) 


251  (1) 


252  (2) 


254  (1) 


255  (1) 

Algebra, Graphs, and Functions 


256  (89) 


257  (4) 

Linear Equations in One Variable 


261  (12) 


273  (8) 

Applications of Linear Equations in One Variable 


281  (5) 


286  (8) 


294  (6) 

Graphing Linear Equations 


300  (14) 

Linear Inequalities in Two Variables 


314  (2) 

Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula 


316  (9) 

Functions and Their Graphs 


325  (20) 


339  (1) 


339  (3) 


342  (1) 


343  (2) 

Systems of Linear Equations and Inequalities 


345  (48) 

Systems of Linear Equations 


346  (8) 

Solving Systems of Equations by the Substitution and Addition Methods 


354  (10) 


364  (10) 

Solving Systems of Equations by Using Matrices 


374  (6) 

Systems of Linear Inequalities 


380  (3) 


383  (10) 


389  (1) 


390  (1) 


391  (1) 


392  (1) 


393  (37) 

Basic Terms and Conversions within the Metric System 


394  (7) 


401  (9) 


410  (7) 

Dimensional Analysis and Conversions to and from the Metric System 


417  (13) 


426  (1) 


426  (2) 


428  (1) 


429  (1) 


430  (59) 

Points, Lines, Planes, and Angles 


431  (10) 


441  (9) 


450  (10) 


460  (11) 

The Mobius Strip, Klein Bottle, and Maps 


471  (6) 

NonEuclidean Geometry and Fractal Geometry 


477  (12) 


484  (1) 


484  (2) 


486  (1) 


487  (2) 


489  (28) 


490  (6) 

Finite Mathematical Systems 


496  (10) 


506  (11) 


513  (1) 


513  (1) 


514  (1) 


515  (2) 


517  (58) 


518  (9) 

Personal Loans and Simple Interest 


527  (10) 


537  (8) 


545  (13) 

Buying a House with a Mortgage 


558  (17) 


569  (1) 


570  (2) 


572  (2) 


574  (1) 


575  (87) 

The Nature of Probability 


576  (8) 


584  (8) 


592  (5) 

Expected Value (Expectation) 


597  (8) 


605  (7) 


612  (11) 


623  (5) 

The Counting Principle and Permutations 


628  (10) 


638  (5) 

Solving Probability Problems by Using Combinations 


643  (6) 

Binomial Probability Formula 


649  (13) 


656  (1) 


656  (4) 


660  (1) 


661  (1) 


662  (69) 


663  (5) 

The Misuses of Statistics 


668  (4) 


672  (5) 


677  (9) 

Measures of Central Tendency 


686  (8) 


694  (7) 


701  (12) 

Linear Correlation and Regression 


713  (18) 


726  (1) 


726  (3) 


729  (1) 


730  (1) 


731  (47) 

Graphs, Paths, and Circuits 


732  (8) 

Euler Paths and Euler Circuits 


740  (12) 

Hamilton Paths and Hamilton Circuits 


752  (10) 


762  (16) 


772  (1) 


773  (3) 


776  (1) 


777  (1) 


778  


779  


795  


808  

Flaws of the Apportionment Methods 


824  


831  


832  


836  


837  
Answers 

A1  
Credits 

C1  
Index 

I1  