

1  (40) 


2  (6) 


8  (11) 


19  (22) 


35  (1) 


35  (3) 


38  (1) 


39  (2) 


41  (51) 


42  (8) 


50  (6) 

Venn Diagrams and Set Operations 


56  (10) 

Venn Diagrams with Three Sets and Verification of Equality of Sets 


66  (10) 


76  (7) 


83  (9) 


87  (1) 


87  (3) 


90  (1) 


91  (1) 


92  (74) 

Statements and Logical Connectives 


93  (13) 

Truth Tables for Negation, Conjunction, and Disjunction 


106  (12) 

Truth Tables for the Conditional and Biconditional 


118  (10) 


128  (14) 


142  (11) 

Euler Diagrams and Syllogistic Arguments 


153  (13) 


160  (1) 


161  (2) 


163  (1) 


164  (2) 


166  (41) 

Additive, Multiplicative, and Ciphered Systems of Numeration 


167  (8) 

PlaceValue or PositionalValue Numeration Systems 


175  (6) 


181  (7) 

Computation in Other Bases 


188  (10) 

Early Computational Methods 


198  (9) 


203  (1) 


203  (1) 


204  (1) 


205  (2) 

Number Theory and the Real Number System 


207  (80) 


208  (11) 


219  (9) 


228  (14) 

The Irrational Numbers and the Real Number System 


242  (7) 

Real Numbers and Their Properties 


249  (7) 

Rules of Exponents and Scientific Notation 


256  (12) 

Arithmetic and Geometric Sequences 


268  (7) 


275  (12) 


282  (1) 


283  (2) 


285  (1) 


286  (1) 

Algebra, Graphs, and Functions 


287  (95) 


288  (4) 

Linear Equations in One Variable 


292  (12) 


304  (9) 

Applications of Linear Equations in One Variable 


313  (7) 


320  (8) 


328  (7) 

Graphing Linear Equations 


335  (13) 

Linear Inequalities in Two Variables 


348  (2) 

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


350  (11) 

Functions and Their Graphs 


361  (21) 


376  (1) 


376  (4) 


380  (1) 


381  (1) 

Systems of Linear Equations and Inequalities 


382  (49) 

Systems of Linear Equations 


383  (8) 

Solving Systems of Equations by the Substitution and Addition Methods 


391  (11) 


402  (10) 

Solving Systems of Equations by Using Matrices 


412  (6) 

Systems of Linear Inequalities 


418  (3) 


421  (10) 


427  (1) 


428  (1) 


429  (1) 


430  (1) 


431  (42) 

Basic Terms and Conversions within the Metric System 


432  (8) 


440  (10) 


450  (8) 

Dimensional Analysis and Conversions to and from the Metric System 


458  (15) 


469  (1) 


469  (2) 


471  (1) 


472  (1) 


473  (87) 

Points, Lines, Planes, and Angles 


474  (11) 


485  (11) 


496  (11) 


507  (12) 

Transformational Geometry, Symmetry, and Tessellations 


519  (19) 

The Mobius Strip, Klein Bottle, and Maps 


538  (7) 

NonEuclidean Geometry and Fractal Geometry 


545  (15) 


553  (1) 


554  (3) 


557  (2) 


559  (1) 


560  (32) 


561  (7) 

Finite Mathematical Systems 


568  (11) 


579  (13) 


588  (1) 


589  (1) 


590  (1) 


591  (1) 


592  (61) 


593  (9) 

Personal Loans and Simple Interest 


602  (11) 


613  (8) 


621  (14) 

Buying a House with a Mortgage 


635  (18) 


647  (1) 


647  (3) 


650  (2) 


652  (1) 


653  (98) 

The Nature of Probability 


654  (8) 


662  (9) 


671  (7) 

Expected Value (Expectation) 


678  (9) 


687  (8) 


695  (12) 


707  (7) 

The Counting Principle and Permutations 


714  (10) 


724  (6) 

Solving Probability Problems by Using Combinations 


730  (6) 

Binomial Probability Formula 


736  (15) 


744  (1) 


745  (3) 


748  (2) 


750  (1) 


751  


752  (5) 

The Misuses of Statistics 


757  (4) 


761  (6) 


767  (11) 

Measures of Central Tendency 


778  (10) 


788  (8) 


796  (12) 

Linear Correlation and Regression 


808  


821  (1) 


821  (3) 


824  (1) 


825  
Appendix: Graph Theory 

1  (1) 
Answers 

1  (1) 
Credits 

1  (1) 
Index 

1  