SULLIVAN - Precalculus, 9/E Michael Sullivan, Chicago State University
Author: Michael Sullivan, Chicago State University | Size: 46.9 MB | Format:PDF | Publisher: Pearson, 02/15/2011 | Year: 2012 | pages: 1158 | ISBN: ISBN-10: 0321716833 | ISBN-13: 9780321716835
1.Description
Mike Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Precalculus has evolved to meet today’s course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.
New Internet-based Chapter Projects apply skills to real-world problems and are accompanied by assignable MathXL exercises to make it easier to incorporate these projects into the course. In addition, a variety of new exercise types, Showcase Examples, and video tutorials for MathXL exercises give instructors even more flexibility, while helping students build their conceptual understanding.
2.Features
Preparing for Class
Just-in-time review begins all sections to prepare students for the topics ahead.
Preparing for This Section lists previously learned concepts that will be useful in the section ahead. Page references are included for easy review.
Now Work "Are You Prepared?" problems support the Preparing for This Section feature, allowing students to check that they are ready to proceed to the section ahead or if they need to turn back for further review. These problems appear at the start of each exercise set.
Section-level guidance in each section helps students master the material and develop their problem-solving skills.
NEW! Showcase Examples provide how-to instruction by offering a guided, step-by-step approach to solving a problem. Students can immediately see how each of the steps in a problem is employed. The two-column format describes the steps on the left and displays the algebra, complete with annotations, on the right.
NEW! Model It examples are now highlighted, making it easy to identify which examples help students learn to build a mathematical model from verbal descriptions or from data. Model It exercises are also included so that instructors can assign these for homework or practice.
"Now Work" Problems follow most examples, and point to a related exercise for immediate reinforcement of the skill or concept.
Step-by-Step, Annotated Examples contain detailed intermediate steps with additional annotations to help students see specific nuances.
Calculus icons appear next to information essential for the study of calculus. When the icon appears next to a definition, the notation used is consistent with that used in calculus.
In Words provide alternative descriptions of select definitions and theorems, translating math into plain English.
Warnings point out common mistakes and help students avoid them.
Practicing Skills
Assess Your Understanding appears at the end of every section and contains a variety of problems for students to master the skills they need.
"Are You Prepared?" Problems appear at the start of every exercise set and help students determine exactly what they need to review and where to review it. This feature is referenced from the Preparing for This Section feature. Answers appear at the end of the section.
Concepts and Vocabulary questions are fill-in the-blank and true/false items that assess students’ understanding of key definitions and concepts. These have been written to serve as reading quizzes and are now assignable in MyMathLab® and MathXL®.
Skill Building problems provide straightforward practice, are organized by difficulty, and are correlated to section examples.
Graphical problems use graphs in a variety of ways, supplementing analytical understanding with graphical understanding.
Now Work problems, marked by a yellow icon in the exercise set, correspond to a related example within the section. If students get stuck while doing their homework, they can look for the closest Now Work problem and refer back to the related example.
NEW! Mixed Practice problems offer comprehensive assessment of the skills learned in the section by asking questions that relate to more than one concept or objective. These problems may also require students to utilize skills learned in previous sections, helping them to see how concepts are tied together.
ENHANCED! Applications and Extensions allow students to apply their skills to real-world problems and to extend concepts learned in the section. These exercises have been updated and many new problems have been added involving sourced information and data sets to bring relevance and timeliness to these exercises. Model It exercises and examples are now highlighted, making it easy to identify which exercises ask students to build a mathematical model from verbal descriptions or from data.
Explaining Concepts: Discussion and Writing problems are marked by red numbers. These support class discussion, verbalization of mathematical ideas, and writing and research projects.
Reviewing for Exams and Quizzes
Chapter Reviews at the end of each chapter offer a variety of convenient tools for reference and review.
"You Should be Able To…” is a list of every objective by section, with corresponding practice exercises. Doing the recommended exercises allows students to master the key concepts. If they get something wrong, they can easily review the examples and exposition and try again.
Review Exercises provide comprehensive review and practice of key skills, matched to the Learning Objectives for each section. These problems combine exercises from all sections, giving students comprehensive review in one place.
Chapter Tests contain about 15—20 problems that can help students prepare for in-class exams. For additional help, they can watch an instructor work out full solutions on the Chapter Test Prep Video on YouTube™, on DVD, or in MyMathLab.
Cumulative Review problem sets appear at the end of every chapter after Chapter 1. They combine problems from previous chapters, providing an ongoing cumulative review.
NEW! Internet-based Chapter Projects, with assignable exercises in MyMathLab, allow students the opportunity to experience mathematics firsthand in an active learning environment. By exploring and considering a variety of carefully guided “what-if” scenarios, they will develop a better understanding of the concepts presented in the section. Students will learn by doing and have fun in the process.
3.New To This Edition
Internet-based Chapter Projects, with assignable exercises in MyMathLab, allow students to experience mathematics first hand in an active learning environment. By exploring and considering a variety of carefully guided “what-if” scenarios, they will develop a better understanding of the concepts presented in the section. Students will learn by doing and have fun in the process.
Author Solves It MathXL Videos show Mike Sullivan III working by section through MathXL exercises typically requested by students for more explanation or tutoring. These videos are a result of Sullivan’s experiences in teaching online.
Showcase Examples are used to present examples in a guided, step-by-step format. Students can immediately see how each of the steps in a problem is employed. The “How To” examples have a two-column format in which the left column describes the step in solving the problem and the right column displays the algebra, complete with annotations.
Exercise sets have been updated and expanded to integrate new question types that give instructors more flexibility and help students build their conceptual understanding.
Mixed Practice problems offer comprehensive assessment of the skills learned in the section by asking questions that relate to more than one concept or objective. These problems may also require students to utilize skills learned in previous sections, helping them to see how concepts are tied together.
Concepts and Vocabulary exercises have been written to serve as reading quizzes and are now assignable in MyMathLab® and MathXL®.
Model It exercises and examples are now highlighted, making it easy to identify which exercises ask students to build a mathematical model from verbal descriptions or from data.
Enhanced! Applications and Extensions have been updated and many new problems have been added involving sourced information and data sets to bring relevance and timeliness to these exercises.
Annotated Instructor’s Edition now provides the answers to all problems right on the page where they appear, with longer answers in the back of the book. Sample homework assignments are pre-selected by the author for each section–these are indicated by a blue underline within the exercise set, and are assignable in MyMathLab.
4.Table of Contents
1. Graphs
1.1 The Distance and Midpoint Formulas
1.2 Graphs of Equations in Two Variables: Intercepts; Symmetry
1.3 Lines
1.4 Circles
Chapter Review
Chapter Test
Chapter Projects
2. Functions and Their Graphs
2.1 Functions
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Library of Functions; Piecewise-defined Functions
2.5 Graphing Techniques: Transformations
2.6 Mathematical Models: Building Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
3. Linear and Quadratic Functions
3.1 Linear Functions and Their Properties
3.2 Linear Models: Building Linear Functions from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic models from Verbal Descriptions and from Data
3.5 Inequalities Involving Quadratic Functions
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
4. Polynomial and Rational Functions
4.1 Polynomial Functions and Models
4.2 Properties of Rational Functions
4.3 The Graph of a Rational Function
4.4 Polynomial and Rational Inequalities
4.5 The Real Zeros of a Polynomial Function
4.6 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
5. Exponential and Logarithmic Functions
5.1 Composite Functions
5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Functions from Data
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
6. Trigonometric Functions
6.1 Angles and Their Measure
6.2 Trigonometric Functions: Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift; Sinusoidal Curve Fitting
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
7. Analytic Trigonometry
7.1 The Inverse Sine, Cosine, and Tangent Functions
7.2 The Inverse Trigonometric Functions (continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum and Difference Formulas
7.6 Double-angle and Half-angle Formulas
7.7 Product-to-Sum and Sum-to-Product Formulas
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
8. Applications of Trigonometric Functions
8.1 Applications Involving Right Triangles
8.2 Law of Sines
8.3 Law of Cosines
8.4 Area of a Triangle
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
9. Polar Coordinates; Vectors
9.1 Polar Coordinates
9.2 Polar Equations and Graphs
9.3 The Complex Plane; DeMoivre's Theorem
9.4 Vectors
9.5 The Dot Product
9.6 Vectors in Space
9.7 The Cross Product
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
10. Analytic Geometry
10.1 Conics
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
10.5 Rotation of Axes; General Form of a Conic
10.6 Polar Equations of Conics
10.7 Plane Curves and Parametric Equations
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
11. Systems of Equations and Inequalities
11.1 Systems of Linear Equations: Substitution and Elimination
11.2 Systems of Linear Equations: Matrices
11.3 Systems of Linear Equations: Determinants
11.4 Matrix Algebra
11.5 Partial Fraction Decomposition
11.6 Systems of Nonlinear Equations
11.7 Systems of Inequalities
11.8 Linear Programming
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
12. Sequences; Induction; The Binomial Theorem
12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences; Geometric Series
12.4 Mathematical Induction
12.5 The Binomial Theorem
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
13. Counting and Probability
13.1 Counting
13.2 Permutations and Combinations
13.3 Probability
Chapter Review
Chapter Test
Cumulative Review
Chapter Projects
14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
14.1 Finding Limits Using Tables and Graphs
14.2 Algebra Techniques for Finding Limits
14.3 One-sided Limits; Continuous Functions
14.4 The Tangent Problem; The Derivative
14.5 The Area Problem; The Integral
Chapter Review
Chapter Test
Chapter Projects
Appendix A. Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressions
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations in the Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
A.10 nth Roots; Rational Exponents
Appendix B. Graphing Utilities
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric Equations
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Title:Ship Structural Analysis and Design
Publisher:Society of Naval Architects and Marine Engineers (SNAME)
ISBN:978-0-939773-78-3
Electronic ISBN:978-1-61344-140-4
Pages:604
Author/Editor: Hughes, Owen F.; Paik, Jeom Kee
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Author: Ron Larson, David C Falvo, Robert P Hostetler | Size: 41.6 MB | Format:PDF | Publisher: Brooks/Cole | Year: 2011 | pages: 1151 | ISBN: ISBN-13: 978-1-4390-4909-9 ; ISBN-10 1-4390-4909-2
With the same design and feature sets as the market leading Precalculus, 8/e, this addition to the Larson Precalculus series provides both students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, this text contains the features that have made Precalculus a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises. In addition to a brief algebra review and the core precalculus topics, PRECALCULUS WITH LIMITS covers analytic geometry in three dimensions and introduces concepts covered in calculus.
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Learn the tools to assess product reliability! Haldar and Mahadevan crystallize the research and experience of the last few decades into the most up-to-date book on risk-based design concepts in engineering available. The fundamentals of reliability and statistics necessary for risk-based engineering analysis and design are clearly presented. And with the help of many practical examples integrated throughout the text, the material is made very relevant to today's practice. Key Features
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Fundamentals of Civil Engineering: An Introduction to the ASCE Body of Knowledge
Author: Richard H. McCuen, Edna Z. Ezzell, Melanie K. Wong | Size: ~3 MB | Format:PDF | Publisher: CRC Press | Year: 2011 | pages: 231 | ISBN 10: 1439851484
While the ASCE Body of Knowledge (BOK2) is the codified source for all technical and non-technical information necessary for those seeking to attain licensure in civil engineering, recent graduates have notoriously been lacking in the non-technical aspects even as they excel in the technical. Fundamentals of Civil Engineering: An Introduction to the ASCE Body of Knowledge addresses this shortfall and helps budding engineers develop the knowledge, skills, and attitudes suggested and implied by the BOK2. Written as a resource for all of the non-technical outcomes not specifically covered in the BOK2, it details fundamental aspects of fourteen outcomes addressed in the second edition of the ASCE Body of Knowledge and encourages a broader perspective and understanding of the role of civil engineers in society as well as the reciprocal influence between civil engineering and social evolution. With discussion questions and group activities at the end of each chapter, topics covered include humanities and social sciences, experimentation, sustainability, contemporary issues and historical perspectives, risk and uncertainty, communication, public policy, globalization, leadership and teamwork, and professional and ethical responsibilities. Suitable for both current and former students in pursuit of further breadth and depth of knowledge and professional maturity, this primer promotes introspection, self-evaluation, and self-learning. It details those attitudes that are essential to the achievement of personal and professional success and advancement to positions of leadership, and encourages an appreciation of the human values that are fundamental to professional practice
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Splines find ever increasing application in the numerical methods, computer-aided design, and computer graphics areas. The Handbook on Splines for the User not only provides an excellent introduction to basic concepts and methods but also includes the SplineGuide-a computer diskette that allows the reader to practice using important programs.These programs help the user to build interpolating and smoothing cubic and bicubic splines of all classes. Programs are described in Fortran for spline functions and C for geometric splines.
The Handbook describes spline functions and geometric splines and provides simple, but effective algorithms. It covers virtually all of the important types of cubic and bicubic splines, functions, variables, curves, and surfaces. The book is written in a straightforward manner and requires little mathematical background. When necessary, the authors give theoretical treatments in an easy-to-use form. Through the Handbook on Splines for the User, introduce yourself to the exciting world of splines and learn to use them in practical applications and computer graphics. Accompanying diskette is present in .rar file
Description of diskette
SplineGuide-Programs in Fortran and C for:
-----------------------------
interpolating cubic spline functions of one variable,
smoothing cubic spline functions of one variable,
interpolating bicubic spline functions of two variables,
smoothing bicubic spline functions of two variables,
constructing cubic B\'{e}zier curves,
constructing cubic B-spline curves,
constructing Beta-spline curves,
constructing cubic Hermite curves,
constructing Catmull-Rom curves,
constructing bicubic B\'{e}zier surfaces,
constructing bicubic B-spline surfaces,
constructing Beta-spline surfaces,
constructing bicubic Hermite surfaces.
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In the Fifth Edition, Advanced Visual Basic 2010 helps those who are familiar with the fundamentals of Visual Basic 2010 programming harness its power for more advanced uses. Coverage of sophisticated tools and techniques used in the industry today include various database, ASP.NET, LINQ, WPF and Web Services topics. After studying the book and completing the programming exercises, students should be able to create small- to medium-sized Windows and Web applications that use databases. They will also gain essential concepts in object-oriented programming, event-driven programming, and test-driven development. Each subject is presented in an understandable style that makes this book a leader in the field.
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This groundbreaking and authoritative two-volume survey is the first truly comprehensive history of modern Italian architecture and urbanism to appear in any language. Told in lively prose, it recounts more than 250 years of experimentation, creativity, and turmoil that have shaped the landscape of contemporary Italy.
Volume II: Visions of Utopia, 1900Present, tracks the development of Italys architectural avant-garde through the upheavals of the twentieth century. Beginning with the development of Italian art nouveau--"stile liberty"--and moving through futurism, fascism, rationalism, and on to the creative experimentation of the present day, it explores the work of such pivotal figures as Raimondo dAronco, Antonio SantElia, Adalberto Libera, Giuseppe Terragni, Pier Luigi Nervi, Gio Ponti, Carlo Scarpa, Aldo Rossi, and Renzo Piano.
The Architecture of Modern Italy is exhaustively illustrated with rare period images, new photography, maps, drawings, and plans. With Colin Rowe's Italian Architecture of the 16th Century, it provides a nearly complete overview of the history of Italian architecture.
Language: English
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Title: Predicting the fatigue life of offshore structures by the single-moment spectral method
Journal: Probabilistic Engineering Mechanics
Author:C.E. Larsen, L.D. Lutes
Volume 6, Issue 2, June 1991, Pages 96-108
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