1. Review of Numerical Computation.
11. The Real Numbers.
12. Addition and Subtraction.
13. Multiplication.
14. Division.
15. Powers and Roots.
16. Combined Operations.
17. Scientific Notation and Engineering Notation.
18. Units of Measurements.
19. Percentage.
Chapter 1. Review Problems.
2. Introduction to Algebra.
21. Algebraic Expressions.
22. Addition and Subtraction of Polynomials.
23. Laws of Exponents.
24. Product of Two Monomials.
25. Product of a Multinomial and a Monomial.
26. Product of Two Binomials.
27. Product of Two Multinomials.
28. Powers of Multinomials.
29. Removing Symbols of Grouping.
210. Quotient of Two Monomials.
211. Dividing a Polynomial by a Monomial.
212. Quotient of Two Polynomials.
Chapter 2. Review Problems.
3. Simple Equations and Word Problems.
31. Solving FirstDegree Equations.
32. Solving Word Problems.
33. Uniform Motion.
34. Financial.
35. Mixtures.
36. Statics.
Chapter 3. Review Problems.
4. Functions and Graphs.
41. Functions.
42. Graphing a Function.
43. Graphing a Function by Calculator.
44. Solving Equations Graphically.
45. More on Functions.
Chapter 4. Review Problems.
5. Geometry.
51. Straight Lines and Angles.
52. Triangles.
53. Quadrilaterals.
54. The Circle.
55. Volumes and Areas of Solids.
Chapter 5. Review Problems.
6. Right Triangles.
61. The Trigonometric Functions.
62. Solution of Right Triangles.
63. Applications of the Right Triangle.
64. Introduction to Vectors.
65. Applications of Vectors.
Chapter 6. Review Problems.
7. Oblique Triangles and Vectors.
71. Trigonometric Functions of Any Angle.
72. Finding the Angle When the Trigonometric Function Is Known.
73. Law of Sines.
74. Law of Cosines.
75. Applications.
76. Resultants of Nonperpendicular Vectors.
Chapter 7. Review Problems.
8. Systems of Linear Equations.
81. Systems of Two Linear Equations
82. Other Systems of Equations
83. Applications
84. Systems of Three Linear Equations
Chapter 8. Review Problems
9. Determinants and Matrices.
91. Introduction to Matrices.
92. Solving a System of Equations by the Unit Matrix Method.
93. SecondOrder Determinants.
94. HigherOrder Determinants.
Chapter 9. Review Problems.
10. Factors and Fractions.
101. Common Factors.
102. Difference of Two Squares.
103. Factoring Trinomials.
104. Other Factorable Trinomials.
105. Simplification of Fractions.
106. Multiplication and Division of Fractions.
107. Addition and Subtraction of Fractions.
108. Complex Fractions.
109. Fractional Equations.
1010. Literal Equations and Formulas.
Chapter 10. Review Problems.
11. Quadratic Equations.
111. Solving a Quadratic Equation by Calculator.
112. Solving Quadratics by Formula.
113. Applications.
Chapter 11. Review Problems.
12. Exponents and Radicals.
121. Integral Exponents.
122. Simplification of Radicals.
123. Operations with Radicals.
124. Radical Equations.
Chapter 12. Review Problems.
13. Radian Measure, Arc Length, and Rotation.
131. Radian Measure.
132. Arc Length.
133. Uniform Circular Motion.
Chapter 13. Review Problems.
14. Graphs of the Trigonometric Functions.
141. Graphing the Sine Wave by Calculator.
142. Manual Graphing of the Sine Wave.
143. The Sine Wave as a Function of Time.
144. Graphing of the Other Trigonometric Functions.
145. Graphing Parametric Equations.
146. Graphing in Polar Coordinates.
Chapter 14. Review Problems.
15. Trigonometric Identities and Equations.
151. Fundamental Identities.
152. Sum or Difference of Two Angles.
153. Functions of Double Angles and HalfAngles.
154. Evaluating Trigonometric Expressions.
155. Solving Trigonometric Equations.
Chapter 15. Review Problems.
16. Ratio, Proportion, and Variation.
161. Ratio and Proportion.
162. Similar Figures.
163. Direct Variation.
164. The Power Function.
165. Inverse Variation.
166. Functions of More Than One Variable.
Chapter 16. Review Problems.
17. Exponential and Logarithmic Functions.
171. The Exponential Function.
172. Logarithms.
173. Properties of Logarithms.
174. Exponential Equations.
175. Solving Logarithmic Equations.
Chapter 17. Review Problems.
18. Complex Numbers.
181. Complex Numbers in Rectangular Form.
182. Complex Numbers in Polar Form.
183. Complex Numbers on the Calculator.
184. Vector Operations Using Complex Numbers.
185. Alternating Current Applications.
Chapter 18. Review Problems.
19. Sequences, Series, and the Binomial Theorem.
191. Sequences and Series.
192. Arithmetic Progressions.
193. Geometric Progressions.
194. Infinite Geometric Progressions.
195. The Binomial Theorem.
Chapter 19. Review Problems.
20. Analytic Geometry.
201. The Straight Line.
202. The Circle.
203. The Parabola.
204. The Ellipse.
205. The Hyperbola.
Chapter 20. Review Problems.
21. Derivatives of Algebraic Functions.
211. Limits.
212. Rate of Change and the Tangent.
213. The Derivative.
214. Rules for Derivatives.
215. Derivative of a Function Raised to a Power.
216. Derivatives of Products and Quotients.
217. Other Variables, Implicit Relations, and Differentials.
218. HigherOrder Derivatives.
Chapter 21. Review Problems.
22. Graphical Applications of the Derivative.
221. Equations of Tangents and Normals.
222. Maximum, Minimum, and Inflection Points.
223. Sketching, Verifying, and Interpreting Graphs.
Chapter 22. Review Problems.
23. More Applications of the Derivative.
231. Rate of Change.
232. Motion of a Point.
233. Related Rates.
234. Optimization.
Chapter 23. Review Problems.
24. Integration.
241. The Indefinite Integral.
242. Rules for Finding Integrals.
243. Constant of Integration.
244. The Definite Integral.
245. Approximate Area under a Curve.
246. Exact Area under a Curve.
Chapter 24. Review Problems.
25. Applications of the Integral.
251. Applications to Motion.
252. Applications to Electric Circuits.
253. Finding Areas by Means of the Definite Integral.
254. Volumes by Integration.
Chapter 25. Review Problems.
26. More Applications of the Integral.
261. Length of Arc.
262. Area of Surface of Revolution.
263. Centroids.
264. Fluid Pressure.
265. Work.
266. Moment of Inertia.
Chapter 26. Review Problems.
27. Trigonometric, Logarithmic, and Exponential Functions.
271. Derivatives of the Sine and Cosine Functions.
272. Derivatives of the Other Trigonometric Functions.
273. Derivatives of the Inverse Trigonometric Functions.
274. Derivatives of Logarithmic Functions.
275. Derivatives of the Exponential Function.
276. Integrals of Exponential and Logarithmic Functions.
277. Integrals of the Trigonometric Functions.
278. Average and RootMeanSquare Values.
Chapter 27. Review Problems.
28. FirstOrder Differential Equations.
281. Definitions.
282. Graphical and Numerical Solution of Differential Equations.
283. FirstOrder Differential Equation, Variables Separable.
284. Exact FirstOrder Differential Equations.
285. FirstOrder Homogeneous Differential Equations.
286. FirstOrder Linear Differential Equations.
287. Geometric Applications of FirstOrder Differential Equations.
288. Exponential Growth and Decay.
289. Series RL and RC Circuits.
Chapter 28. Review Problems. 29. SecondOrder Differential Equations.
291. SecondOrder Differential Equations.
292. Constant Coefficients and Right Side Zero.
293. Right Side Not Zero.
294. Mechanical Vibrations.
295. RLC Circuits.
Chapter 29 Review Problems.
Appendix A: Summary of Facts and Formulas.
Appendix B: Conversion Factors.
Appendix C: Table of Integrals.
Appendix D: Answers to Selected Problems.
Index.
