Test Bank for Mathematical Ideas 12th edition by Miller (Copy)

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Product details:

• ISBN-10 ‏ : ‎ 0321693817
• ISBN-13 ‏ : ‎ 978-0321693815
• Author: Charles Miller; Vern Heeren; John Hornsby

What does your math course have to do with the latest TV shows or Hollywood movies? Plenty–if you’re using the right text. Mathematical Ideas, Twelfth Edition brings the best of Hollywood into the classroom through descriptions of video clips from popular cinema and television. Well-known author John Hornsby’s innovative approach is enhanced with great care in this revision, and refined to serve the needs of you and your instructor. Streamlined and updated, it offers a modernized design, new bubble pointers for Example annotations, and much more. It retains the consistent features, friendly writing style, clear examples, and exercise sets for which this text is known.

Table of contents:

1. 1 The Art of Problem Solving
2. 1.1 Solving Problems by Inductive Reasoning
3. Characteristics of Inductive and Deductive Reasoning
4. Pitfalls of Inductive Reasoning
5. 1.2 an Application of Inductive Reasoning: Number Patterns
6. Number Sequences
7. Successive Differences
8. Number Patterns and Sum Formulas
9. Figurate Numbers
10. 1.3 Strategies for Problem Solving
11. A General Problem-solving Method
12. Using a Table or Chart
13. Working Backward
14. Using Trial and Error
15. Guessing and Checking
16. Considering a Similar, Simpler Problem
17. Drawing a Sketch
18. Using Common Sense
19. 1.4 Numeracy in Today’s World
20. Calculation
21. Estimation
22. Interpretation of Graphs
23. Communicating Mathematics Through Language Skills
24. Chapter 1 Summary
25. Chapter 1 Test
26. 2 The Basic Concepts of Set Theory
27. 2.1 Symbols and Terminology
28. Designating Sets
29. Sets of Numbers and Cardinality
30. Finite and Infinite Sets
31. Equality of Sets
32. 2.2 Venn Diagrams and Subsets
33. Venn Diagrams
34. Complement of a Set
35. Subsets of a Set
36. Proper Subsets
37. Counting Subsets
38. 2.3 Set Operations
39. Intersection of Sets
40. Union of Sets
41. Difference of Sets
42. Ordered Pairs
43. Cartesian Product of Sets
44. More on Venn Diagrams
45. De Morgan’s Laws
46. 2.4 Surveys and Cardinal Numbers
47. Surveys
48. Cardinal Number Formula
49. Tables
50. Chapter 2 Summary
51. Chapter 2 Test
52. 3 Introduction to Logic
53. 3.1 Statements and Quantifiers
54. Statements
55. Negations
56. Symbols
57. Quantifiers
58. Quantifiers and Number Sets
59. 3.2 Truth Tables and Equivalent Statements
60. Conjunctions
61. Disjunctions
62. Negations
63. Mathematical Statements
64. Truth Tables
65. Alternative Method for Constructing Truth Tables
66. Equivalent Statements and De Morgan’s Laws
67. 3.3 The Conditional and Circuits
68. Conditionals
69. Writing a Conditional as a Disjunction
70. Circuits
71. 3.4 The Conditional and Related Statements
72. Converse, Inverse, and Contrapositive
73. Alternative Forms of “If P, Then Q”
74. Biconditionals
75. Summary of Truth Tables
76. 3.5 Analyzing Arguments with Euler Diagrams
77. Logical Arguments
78. Arguments with Universal Quantifiers
79. Arguments with Existential Quantifiers
80. 3.6 Analyzing Arguments with Truth Tables
81. Using Truth Tables to Determine Validity
82. Valid and Invalid Argument Forms
83. Arguments of Lewis Carroll
84. Chapter 3 Summary
85. Chapter 3 Test
86. 4 Numeration Systems
87. 4.1 Historical Numeration Systems
88. Basics of Numeration
89. Ancient Egyptian Numeration
90. Ancient Roman Numeration
91. Classical Chinese Numeration
92. 4.2 More Historical Numeration Systems
93. Basics of Positional Numeration
94. Hindu-arabic Numeration
95. Babylonian Numeration
96. Mayan Numeration
97. Greek Numeration
98. 4.3 Arithmetic in the Hindu-arabic System
99. Expanded Form
100. Historical Calculation Devices
101. 4.4 Conversion Between Number Bases
102. General Base Conversions
103. Computer Mathematics
104. Chapter 4 Summary
105. Chapter 4 Test
106. 5 Number Theory
107. 5.1 Prime and Composite Numbers
108. Primes, Composites, and Divisibility
109. The Fundamental Theorem of Arithmetic
110. 5.2 Large Prime Numbers
111. The Infinitude of Primes
112. The Search for Large Primes
113. 5.3 Selected Topics from Number Theory
114. Perfect Numbers
115. Deficient and Abundant Numbers
116. Amicable (friendly) Numbers
117. Goldbach’s Conjecture
118. Twin Primes
119. Fermat’s Last Theorem
120. 5.4 Greatest Common Factor and Least Common Multiple
121. Greatest Common Factor
122. Least Common Multiple
123. 5.5 The Fibonacci Sequence and the Golden Ratio
124. The Fibonacci Sequence
125. The Golden Ratio
126. Chapter 5 Summary
127. Chapter 5 Test
128. 6 The Real Numbers and Their Representations
129. 6.1 Real Numbers, Order, and Absolute Value
130. Sets of Real Numbers
131. Order in the Real Numbers
132. Additive Inverses and Absolute Value
133. Applications of Real Numbers
134. 6.2 Operations, Properties, and Applications of Real Numbers
135. Operations on Real Numbers
136. Order of Operations
137. Properties of Addition and Multiplication of Real Numbers
138. Applications of Signed Numbers
139. 6.3 Rational Numbers and Decimal Representation
140. Definition and the Fundamental Property
141. Operations with Rational Numbers
142. Density and the Arithmetic Mean
143. Decimal Form of Rational Numbers
144. 6.4 Irrational Numbers and Decimal Representation
145. Definition and Basic Concepts
146. Irrationality of 2 and Proof by Contradiction
147. Operations with Square Roots
148. The Irrational Numbers P, F, and E
149. 6.5 Applications of Decimals and Percents
150. Operations with Decimals
151. Rounding Methods
152. Percent
153. Chapter 6 Summary
154. Chapter 6 Test
155. 7 The Basic Concepts of Algebra
156. 7.1 Linear Equations
157. Solving Linear Equations
158. Special Kinds of Linear Equations
159. Literal Equations and Formulas
160. Models
161. 7.2 Applications of Linear Equations
162. Translating Words into Symbols
163. Guidelines for Applications
164. Finding Unknown Quantities
165. Mixture and Interest Problems
166. Monetary Denomination Problems
167. Motion Problems
168. 7.3 Ratio, Proportion, and Variation
169. Writing Ratios
170. Unit Pricing
171. Solving Proportions
172. Direct Variation
173. Inverse Variation
174. Joint and Combined Variation
175. 7.4 Linear Inequalities
176. Number Lines and Interval Notation
177. Addition Property of Inequality
178. Multiplication Property of Inequality
179. Solving Linear Inequalities
180. Applications
181. Compound Inequalities
182. 7.5 Properties of Exponents and Scientific Notation
183. Exponents and Exponential Expressions
184. The Product Rule
185. Zero and Negative Exponents
186. The Quotient Rule
187. The Power Rules
188. Scientific Notation
189. 7.6 Polynomials and Factoring
190. Basic Terminology
191. Addition and Subtraction
192. Multiplication
193. Special Products
194. Factoring
195. Factoring Out the Greatest Common Factor
196. Factoring Trinomials
197. Factoring Special Binomials
198. 7.7 Quadratic Equations and Applications
199. Quadratic Equations and the Zero-factor Property
200. The Square Root Property
201. The Quadratic Formula
202. Applications
203. Chapter 7 Summary
204. Chapter 7 Test
205. 8 Graphs, Functions, and Systems of Equations and Inequalities
206. 8.1 The Rectangular Coordinate System and Circles
207. Rectangular Coordinates
208. Distance Formula
209. Midpoint Formula
210. An Application of the Midpoint Formula
211. Circles
212. An Application of Circles
213. 8.2 Lines, Slope, and Average Rate of Change
214. Linear Equations in Two Variables
215. Intercepts
216. Slope
217. Parallel and Perpendicular Lines
218. Average Rate of Change
219. 8.3 Equations of Lines
220. Point-slope Form
221. Slope-intercept Form
222. An Application of Linear Equations
223. 8.4 Linear Functions, Graphs, and Models
224. Relations and Functions
225. Function Notation
226. Linear Functions
227. Linear Models
228. 8.5 Quadratic Functions, Graphs, and Models
229. Quadratic Functions and Parabolas
230. Graphs of Quadratic Functions
231. Vertex of a Parabola
232. General Graphing Guidelines
233. A Model for Optimization
234. 8.6 Exponential and Logarithmic Functions, Graphs, and Models
235. Exponential Functions and Applications
236. Logarithmic Functions and Applications
237. Exponential Models
238. Further Applications
239. 8.7 Systems of Linear Equations
240. Linear Systems
241. Elimination Method
242. Substitution Method
243. 8.8 Applications of Linear Systems
244. Introduction
245. Applications
246. 8.9 Linear Inequalities, Systems, and Linear Programming
247. Linear Inequalities in Two Variables
248. Systems of Inequalities
249. Linear Programming
250. Chapter 8 Summary
251. Chapter 8 Test
252. 9 Geometry
253. 9.1 Points, Lines, Planes, and Angles
254. The Geometry of Euclid
255. Points, Lines, and Planes
256. Angles
257. 9.2 Curves, Polygons, Circles, and Geometric Constructions
258. Curves
259. Triangles and Quadrilaterals
260. Circles
261. Geometric Constructions
262. 9.3 the Geometry of Triangles: Congruence, Similarity, and the Pythagorean Theorem
263. Congruent Triangles
264. Similar Triangles
265. The Pythagorean Theorem
266. 9.4 Perimeter, Area, and Circumference
267. Perimeter of a Polygon
268. Area of a Polygon
269. Circumference of a Circle
270. Area of a Circle
271. 9.5 Volume and Surface Area
272. Space Figures
273. Volume and Surface Area of Space Figures
274. 9.6 Transformational Geometry
275. Reflections
276. Translations and Rotations
277. Size Transformations
278. 9.7 Non-euclidean Geometry and Topology
279. Euclid’s Postulates and Axioms
280. The Parallel Postulate (euclid’s Fifth Postulate)
281. The Origins of Non-euclidean Geometry
282. Projective Geometry
283. Topology
284. 9.8 Chaos and Fractal Geometry
285. Chaos
286. Attractors
287. Fractals
288. Chapter 9 Summary
289. Chapter 9 Test
290. 10 Counting Methods
291. 10.1 Counting by Systematic Listing
292. Counting
293. One-part Tasks
294. Product Tables for Two-part Tasks
295. Tree Diagrams for Multiple-part Tasks
296. Other Systematic Listing Methods
297. 10.2 Using the Fundamental Counting Principle
298. Uniformity and the Fundamental Counting Principle
299. Factorials
300. Arrangements of Objects
301. Distinguishable Arrangements
302. 10.3 Using Permutations and Combinations
303. Permutations
304. Combinations
305. Guidelines on Which Method to Use
306. 10.4 Using Pascal’s Triangle
307. Pascal’s Triangle
308. Applications
309. The Binomial Theorem
310. 10.5 Counting Problems Involving “Not” and “Or”
311. Set Theory/logic/arithmetic Correspondences
312. Problems Involving “Not”
313. Problems Involving “Or”
314. Chapter 10 Summary
315. Chapter 10 Test
316. 11 Probability
317. 11.1 Basic Concepts
318. The Language of Probability
319. Examples in Probability
320. The Law of Large Numbers (or Law of Averages)
321. Probability in Genetics
322. Odds
323. 11.2 Events Involving “Not” and “Or”
324. Properties of Probability
325. Events Involving “Not”
326. Events Involving “Or”
327. 11.3 Conditional Probability and Events Involving “And”
328. Conditional Probability
329. Independent Events
330. Events Involving “And”
331. 11.4 Binomial Probability
332. Binomial Probability Distribution
333. Binomial Probability Formula
334. 11.5 Expected Value and Simulation
335. Expected Value
336. Games and Gambling
337. Investments
338. Business and Insurance
339. Simulation
340. Simulating Genetic Traits
341. Simulating Other Phenomena
342. Chapter 11 Summary
343. Chapter 11 Test

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