did-you-know? rent-now

Amazon no longer offers textbook rentals. We do!

did-you-know? rent-now

Amazon no longer offers textbook rentals. We do!

We're the #1 textbook rental company. Let us show you why.

9780675060004

Advanced Mathematical Concepts

by ;
  • ISBN13:

    9780675060004

  • ISBN10:

    0675060001

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 1991-01-01
  • Publisher: Merrill Pub Co

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping Icon Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • eCampus.com Logo Get Rewarded for Ordering Your Textbooks! Enroll Now
  • Write a Review Icon Write a Review
List Price: $105.32 Save up to $25.27
  • Rent Book $80.05
    Add to Cart Free Shipping Icon Free Shipping

    TERM
    PRICE
    DUE
    USUALLY SHIPS IN 2-3 BUSINESS DAYS
    *This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

Supplemental Materials

What is included with this book?

Table of Contents

Unit 1 Relations, Functions, and Graphs
Linear Relations and Functions
2(30)
Relations and Functions
3(4)
Composition and Inverses of Functions
7(4)
Linear Functions and Inequalities
11(4)
Distance and Slope
15(3)
Forms of Linear Equations
18(4)
Parallel and Perpendicular Lines
22(3)
Analytic Proofs
25(7)
Chapter Summary
28(1)
Chapter Review
29(2)
Chapter Test
31(1)
Matrices and Linear Programming
32(34)
Solving Systems of Equations
33(4)
Introduction to Matrices
37(3)
Multiplication of Matrices
40(2)
Determinants and Multiplicative Inverses of Matrices
42(5)
Augmented Matrix Solutions
47(3)
Maximum or Minimum of a Polygonal Set
50(6)
Graphing Calculators: Solving Systems of Equations
54(2)
Linear Programming
56(3)
Special Linear Programming Situations
59(7)
Chapter Summary
61(2)
Chapter Review
63(2)
Chapter Test
65(1)
Theory of Equations
66(28)
Polynomial Equations
67(2)
Quadratic Equations and Imaginary Roots
69(3)
Rational Equations
72(3)
Synthetic Division
75(3)
The Remainder and Factor Theorems
78(2)
The Fundamental Theorem of Algebra
80(3)
The Rational Root Theorem
83(3)
Locating Zeros of a Function
86(8)
Chapter Summary
90(1)
Chapter Review
91(2)
Chapter Test
93(1)
The Nature of Graphs
94(36)
Symmetry
95(6)
Tangent to a Curve
101(4)
Graphs and Critical Points of Polynomial Functions
105(7)
Graphing Calculators: Zeros and Critical Points of Polynomial Functions
110(2)
Continuity and End Behavior
112(4)
Rational Functions and Asymptotes
116(4)
Graphing Calculators: Graphing Rational Functions
119(1)
Analyzing Families of Graphs
120(10)
Chapter Summary
124(2)
Chapter Review
126(1)
Chapter Test
127(1)
Unit 1 Review
128(2)
Unit 2 Trigonometry
The Trigonometric Functions
130(36)
The Wrapping Function
131(5)
Sine, Cosine, and Tangent
136(6)
Finding Values of Sine, Cosine, and Tangent
142(4)
Secant, Cosecant, and Cotangent
146(3)
Angles and Their Measure
149(5)
Trigonometric Functions of Angles
154(3)
Applications Involving Central Angles and Their Arcs
157(9)
Chapter Summary
162(2)
Chapter Review
164(1)
Chapter Test
165(1)
Trigonometric Identities and Equations
166(36)
Basic Trigonometric Identities
167(5)
Verifying Trigonometric Identities
172(3)
Sum and Difference Identities
175(5)
Double-Angle and Half-Angle Identities
180(6)
Graphing Calculators: Verifying Trigonometric Identities
185(1)
Solving Trigonometric Equations
186(3)
Normal Form of a Linear Equation
189(4)
Distance from a Point to a Line
193(9)
Chapter Summary
198(2)
Chapter Review
200(1)
Chapter Test
201(1)
Graphs and Inverses of the Trigonometric Functions
202(30)
Graphing Trigonometric Functions
203(4)
Amplitude, Period, and Phase Shift
207(5)
Graphing the Trigonometric Functions
212(2)
Graphing Compound Functions
214(5)
Graphing Calculators: Graphing Trigonometric Functions
217(2)
Inverse Trigonometric Functions
219(2)
Principal Values of the Inverse Trigonometric Functions
221(4)
Graphing Inverses of Trigonometric Functions
225(7)
Graphing Calculators: Graphing Inverse Trigonometric Functions
228(1)
Chapter Summary
229(1)
Chapter Review
230(1)
Chapter Test
231(1)
Applications of Trigonometry
232(26)
Right Triangles
233(5)
The Law of Sines
238(4)
The Law of Cosines
242(3)
Area of Triangles
245(5)
Simple Harmonic Motion
250(8)
Chapter Summary
254(1)
Chapter Review
255(2)
Chapter Test
257(1)
Vectors
258(24)
Geometrical Vectors
259(5)
Algebraic Vectors
264(3)
Vectors in Space
267(2)
Perpendicular Vectors
269(3)
Applications with Vectors
272(10)
Chapter Summary
276(1)
Chapter Review
277(2)
Chapter Test
279(1)
Unit 2 Review
280(2)
Unit 3 Advanced Functions and Graphing
Polar Coordinates and Complex Numbers
282(34)
Polar Coordinates
283(5)
Graphs of Polar Equations
288(4)
Polar and Rectangular Coordinates
292(3)
Polar Form of a Linear Function
295(3)
Simplifying Complex Numbers
298(4)
Polar Form of Complex Numbers
302(2)
Products and Quotients of Complex Numbers in Polar Form
304(2)
Powers and Roots of Complex Numbers
306(10)
Chapter Summary
311(2)
Chapter Review
313(2)
Chapter Test
315(1)
Conics
316(46)
The Circle
317(4)
The Parabola
321(4)
Translation of Axes
325(3)
The Ellipse
328(3)
Special Properties of Ellipses
331(4)
The Hyperbola
335(4)
Special Properties of Hyperbolas
339(3)
Conic Sections
342(5)
Graphing Calculators: Conic Sections
345(2)
Systems of Second-Degree Equations and Inequalities
347(2)
Tangents and Normals to the Conic Sections
349(5)
Polar Equations of Conic Sections
354(8)
Chapter Summary
357(2)
Chapter Review
359(2)
Chapter Test
361(1)
Sequences and Series
362(32)
Arithmetic Sequences and Series
363(4)
Geometric Sequences and Series
367(4)
Infinite Sequences
371(2)
Sum of an Infinite Series
373(3)
Convergence and Divergence
376(5)
Sigma Notation and the nth Term
381(2)
The Binomial Theorem
383(4)
Mathematical Induction
387(7)
Chapter Summary
391(1)
Chapter Review
392(1)
Chapter Test
393(1)
Exponential and Logarithmic Functions
394(34)
Rational Exponents
395(4)
Exponential Functions
399(5)
The Number e
404(4)
Logarithmic Functions
408(2)
Common Logarithms
410(2)
Exponential Equations
412(3)
Natural Logarithms
415(3)
Euler's Formulas
418(10)
Graphing Calculators: Graphing Exponential and Logarithmic Functions
421(2)
Chapter Summary
423(1)
Chapter Review
424(1)
Chapter Test
425(1)
Unit 3 Review
426(2)
Unit 4 Discrete Mathematics
Graph Theory
428(26)
Graphs as Mathematical Models
429(3)
Multigraphs and Paths
432(4)
Euler Paths and Circuits
436(4)
Shortest Paths and Minimal Distances
440(5)
Spanning Trees
445(9)
Chapter Summary
450(1)
Chapter Review
451(2)
Chapter Test
453(1)
Probability
454(34)
Permutations
455(4)
Permutations with Repetitions and Circular Permutations
459(5)
Combinations
464(3)
Probability
467(4)
Probabilities of Independent and Dependent Events
471(3)
Probabilities of Mutually Exclusive or Inclusive Events
474(2)
Conditional Probability
476(4)
The Binomial Theorem and Probability
480(8)
Chapter Summary
484(1)
Chapter Review
485(2)
Chapter Test
487(1)
Statistics
488(26)
Measures of Central Tendency
489(4)
Measures of Variability
493(3)
The Frequency Distribution
496(4)
Using the Frequency Distribution
500(4)
The Normal Distribution
504(3)
Sample Sets of Data
507(7)
Chapter Summary
511(1)
Chapter Review
512(1)
Chapter Test
513(1)
Data Analysis
514(28)
Representing Data
515(4)
Stem & Leaf and Box & Whisker Plots
519(5)
Scatter Plots and Rank Correlation
524(4)
Median Fit Line and Linear Regression
528(4)
Graphing Calculators: Curve Fitting
532(10)
Chapter Summary
536(2)
Chapter Review
538(1)
Chapter Test
539(1)
Unit 4 Review
540(2)
Unit 5 Introduction to Calculus
Limits, Derivatives, and Integrals
542(42)
Concept of Limit
543(3)
Formal Definition of Limit
546(5)
Continuity
551(3)
Theorems About Limits
554(3)
Derivatives
557(3)
Differentiation Techniques
560(4)
Applying the Derivative
564(5)
Area Under a Curve
569(4)
Integration
573(3)
The Fundamental Theorem of Calculus
576(8)
Chapter Summary
580(2)
Chapter Review
582(1)
Chapter Test
583(1)
Glossary 584(14)
Selected Answers 598(37)
Index 635

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rewards Program