Preface 

xiii  


1  (26) 


1  (6) 

Multiplying and Dividing Fractions 


7  (6) 


13  (7) 

Hand Calculator Operations 


20  (7) 

Arithmetic Operations and Memory 


20  (7) 


27  (24) 


27  (5) 


32  (7) 


39  (4) 

Hand Calculator Operations 


43  (8) 


51  (30) 


51  (5) 


56  (9) 

Numbers Times Powers of Ten 


60  (5) 

Square Roots and Cube Roots 


65  (7) 

Hand Calculator Operations 


72  (9) 


72  (1) 


73  (8) 


81  (24) 

Scientific and Engineering Notation 


81  (8) 


89  (6) 

The U.S. Customary System 


95  (4) 

Hand Calculator Operations 


99  (6) 


99  (1) 


99  (6) 


105  (28) 


105  (8) 


111  (2) 


113  (4) 


117  (16) 

Multiplying and Dividing Terms 


123  (2) 

Applications to DC and AC Circuits 


125  (8) 


133  (14) 

Solution of FirstDegree Equations 


133  (6) 


139  (8) 


147  (18) 

DC Circuits and Ohm's Law 


147  (7) 


154  (11) 


158  (7) 

Multiplying and Factoring Polynomials 


165  (20) 


165  (3) 


168  (3) 


171  (4) 

Difference of Two Squares 


171  (1) 

Trinomials with Leading Coefficient = 1 


171  (2) 

Trinomials with Leading Coefficient # 1 


173  (2) 


175  (10) 

Solution by Taking Square Roots 


175  (1) 


176  (1) 

Solution by the Quadratic Formula 


177  (8) 


185  (18) 


185  (3) 

Multiplying and Dividing Fractions 


188  (3) 


191  (5) 


196  (7) 

Formulas and Problem Solving 


203  (18) 

Formulas and Literal Equations 


203  (7) 


210  (11) 

Series and Parallel DC Circuits 


221  (22) 


221  (5) 

Aiding and Opposing Voltages 


223  (3) 


226  (6) 


232  (11) 


243  (20) 

Rectangular Coordinate System 


243  (4) 


247  (7) 


254  (9) 


263  (24) 

Graphical Solution of Two Linear Equations 


263  (4) 

Algebraic Solution of Two Linear Equations 


267  (7) 


274  (5) 


274  (1) 

Solution of Two Linear Equations 


275  (4) 

Solution of Three Linear Equations 


279  (8) 


287  (14) 


287  (4) 


291  (3) 


294  (7) 


301  (18) 


301  (5) 


306  (5) 


311  (8) 

Voltage and Current Sources 


311  (1) 


312  (7) 

Trigonometry of the Right Triangle 


319  (22) 


319  (5) 

Angles and Radian Measure 


319  (5) 


324  (6) 

Similar Polygons and Triangles 


326  (4) 


330  (11) 

Trigonometry of the Circle 


341  (18) 


341  (5) 

Reference Angles and Special Angles 


346  (5) 


348  (1) 

Negative Angles and Angles Greater Than 360° 


348  (3) 


351  (8) 


359  (20) 

Alternating Current Waves 


359  (5) 


359  (1) 


360  (2) 


362  (2) 


364  (4) 


368  (4) 


372  (7) 


379  (16) 


379  (6) 

Adding Vectors and Phasors 


380  (3) 


383  (2) 


385  (3) 

Proof of the Law of Sines 


386  (2) 


388  (7) 

Proof of the Law of Cosines 


389  (6) 

Complex Numbers and Phasors 


395  (18) 


395  (4) 


399  (4) 


403  (4) 


404  (3) 

Operations with Complex Phasors 


407  (6) 


413  (22) 

Inductive Reactance and RL Series Circuits 


413  (7) 


413  (2) 


415  (5) 

Capacitive Reactance and RC Series Circuits 


420  (5) 


420  (1) 


421  (4) 

RLC Series Circuits and Resonance 


425  (10) 


429  (1) 


429  (6) 


435  (26) 


435  (3) 


438  (3) 

Susceptance and Admittance 


441  (3) 


444  (4) 


448  (3) 


451  (10) 


451  (1) 


452  (1) 


453  (2) 


455  (6) 


461  (18) 


461  (4) 


465  (5) 

The Exponential Function e2 


467  (3) 

Common and Natural Logarithms 


470  (9) 


471  (1) 


472  (1) 


473  (6) 

Applications of Logarithms 


479  (20) 


479  (3) 


482  (6) 


482  (2) 


484  (4) 


488  (4) 


490  (2) 


492  (7) 


499  (26) 


499  (5) 


499  (1) 


500  (4) 


504  (4) 


504  (1) 

Binary Subtraction Using Complements 


505  (3) 


508  (3) 

Conversions Among Octal, Decimal, and Binary Numbers 


509  (2) 

Hexadecimal Number System 


511  (4) 

Conversions Among Hexadecimal, Decimal, and Binary Numbers 


512  (2) 

Conversions Among Decimal, Binary, and Hexadecimal Numbers 


514  (1) 


515  (3) 


516  (1) 

Hexadecimal Subtraction Using Complements 


516  (2) 


518  (7) 


518  (7) 


525  (20) 


525  (5) 


530  (7) 

Series and Parallel Switching Circuits 


530  (1) 


531  (3) 


534  (3) 


537  (8) 


538  (1) 


539  (6) 


545  (18) 


545  (5) 


550  (4) 

Histograms and the Normal Curve 


554  (9) 


556  (1) 

Properties of the Normal Curve 


556  (7) 
Appendix A Calculator Functions 

563  (4) 
Appendix B Notation and Formulas 

567  (10) 
Appendix C Answers to OddNumbered Exercises 

577  (46) 
Index 

623  