Find what you need to succeed.
- Home
- Mathematics
- Calculus Combo
Calculus Combo
First Edition| ©2014 Laura Taalman; Peter Kohn
Many calculus textbooks look to engage students with margin notes, anecdotes, and other devices. But many instructors find these distracting, preferring to captivate their science and engineering students with the beauty of the calculus itself. Taalman and Kohn’s refreshing new textbook is
Many calculus textbooks look to engage students with margin notes, anecdotes, and other devices. But many instructors find these distracting, preferring to captivate their science and engineering students with the beauty of the calculus itself. Taalman and Kohn’s refreshing new textbook is designed to help instructors do just that.
Taalman and Kohn’s Calculus offers a streamlined, structured exposition of calculus that combines the clarity of classic textbooks with a modern perspective on concepts, skills, applications, and theory. Its sleek, uncluttered design eliminates sidebars, historical biographies, and asides to keep students focused on what’s most important—the foundational concepts of calculus that are so important to their future academic and professional careers.
Maximize Teaching and Learning with WebAssign Premium
Macmillan Learning and WebAssign have partnered to deliver WebAssign Premium – a comprehensive and flexible suite of resources for your calculus course. Combining the most widely used online homework platform with authoritative textbook content and Macmillan’s esteemed Calctools, WebAssign Premium extends and enhances the classroom experience for instructors and students. Preview course content and sample assignments at www.webassign.net/whfreeman.
ISBN:9781464166426
Online tools for teaching and learning
ISBN:9781464151088
Read and study old-school with our bound texts.

Many calculus textbooks look to engage students with margin notes, anecdotes, and other devices. But many instructors find these distracting, preferring to captivate their science and engineering students with the beauty of the calculus itself. Taalman and Kohn’s refreshing new textbook is designed to help instructors do just that.
Taalman and Kohn’s Calculus offers a streamlined, structured exposition of calculus that combines the clarity of classic textbooks with a modern perspective on concepts, skills, applications, and theory. Its sleek, uncluttered design eliminates sidebars, historical biographies, and asides to keep students focused on what’s most important—the foundational concepts of calculus that are so important to their future academic and professional careers.
Maximize Teaching and Learning with WebAssign Premium
Macmillan Learning and WebAssign have partnered to deliver WebAssign Premium – a comprehensive and flexible suite of resources for your calculus course. Combining the most widely used online homework platform with authoritative textbook content and Macmillan’s esteemed Calctools, WebAssign Premium extends and enhances the classroom experience for instructors and students. Preview course content and sample assignments at www.webassign.net/whfreeman.
Features
Compact, Structured Exposition
Taalman and Kohn provide compact instruction on the important concepts of calculus in a linear, straightforward, and predictable format. Each section begins with uncluttered exposition that introduces and explains the key concepts (definitions, short examples and figures, and key theorems with proofs). The section is followed by more complex examples that prepare students for the exercise sets.
An Awareness of Students’ Learning and Study Habits
The authors understand how students use a textbook and have crafted their book to accommodate students’ learning styles. Students who want to read for understanding before attempting the exercises will appreciate the short, clear explanations. Students who want to tackle exercises first can look back to calculation-based examples and compact exposition for guidance. For these students, Concept and Proof exercises test comprehension of the definitions and theory.
Easy Proofs
Every theorem is discussed as a development that requires justification. The text always makes clear what is proved and what is left to the exercises or to future mathematics courses. Every set of exercises includes a range of accessible proofs, some based on the reading and others focusing on special cases that illustrate basic concepts.
Categorized Exercises
Exercises reflect concepts and skills introduced in the section examples; but also test student understanding of the development of the material and the reading itself and. Each exercise set includes the following categories of problems: Thinking Back, Concepts, Skills, Applications, Proofs, and Thinking Forward. Each chapter concludes with a set of Chapter Review exercises.
New to This Edition

Calculus Combo
First Edition| ©2014
Laura Taalman; Peter Kohn
Digital Options

WebAssign
Do your homework online and get prepared for exams.

Calculus Combo
First Edition| 2014
Laura Taalman; Peter Kohn
Table of Contents
Part I. Differential Calculus
0. Functions and Precalculus
0.1 Functions and Graphs
0.2 Operations, Transformations, and Inverses
0.3 Algebraic Functions
0.4 Exponential and Trigonometric Functions
0.5 Logic and Mathematical Thinking*
Chapter Review, Self-Test, and Capstones
1. Limits
1.1 An Intuitive Introduction to Limits
1.2 Formal Definition of Limit
1.3 Delta-Epsilon Proofs*
1.4 Continuity and Its Consequences
1.5 Limit Rules and Calculating Basic Limits
1.6 Infinite Limits and Indeterminate Forms
Chapter Review, Self-Test, and Capstones
2. Derivatives
2.1 An Intuitive Introduction to Derivatives
2.2 Formal Definition of the Derivative
2.3 Rules for Calculating Basic Derivatives
2.4 The Chain Rule and Implicit Differentiation
2.5 Derivatives of Exponential and Logarithmic Functions
2.6 Derivatives of Trigonometric and Hyperbolic Functions*
Chapter Review, Self-Test, and Capstones
3. Applications of the Derivative
3.1 The Mean Value Theorem
3.2 The First Derivative and Curve Sketching
3.3 The Second Derivative and Curve Sketching
3.4 Optimization
3.5 Related Rates
3.6 L’Hopital’s Rule
Chapter Review, Self-Test, and Capstones
Part II. Integral Calculus
4. Definite Integrals
4.1 Addition and Accumulation
4.2 Riemann Sums
4.3 Definite Integrals
4.4 Indefinite Integrals
4.5 The Fundamental Theorem of Calculus
4.6 Areas and Average Values
4.7 Functions Defined by Integrals
Chapter Review, Self-Test, and Capstones
5. Techniques of Integration
5.1 Integration by Substitution
5.2 Integration by Parts
5.3 Partial Fractions and Other Algebraic Techniques
5.4 Trigonometric Integrals
5.5 Trigonometric Substitution
5.6 Improper Integrals
5.7 Numerical Integration*
Chapter Review, Self-Test, and Capstones
6. Applications of Integration
6.1 Volumes By Slicing
6.2 Volumes By Shells
6.3 Arc Length and Surface Area
6.4 Real-World Applications of Integration
6.5 Differential Equations*
Chapter Review, Self-Test, and Capstones
Part III. Sequences and Series
7. Sequences and Series
7.1 Sequences
7.2 Limits of Sequence
7.3 Series
7.4 Introduction to Convergence Tests
7.5 Comparison Tests
7.6 The Ratio and Root Tests
7.7 Alternating Series
Chapter Review, Self-Test, and Capstones
8. Power Series
8.1 Power Series
8.2 Maclaurin Series and Taylor Series
8.3 Convergence of Power Series
8.4 Differentiating and Integrating Power Series
Chapter Review, Self-Test, and Capstones
Part IV. Vector Calculus
9. Parametric Equations, Polar Coordinates, and Conic Sections
9.1 Parametric Equations
9.2 Polar Coordinates
9.3 Graphing Polar Equations
9.4 Computing Arc Length and Area with Polar Functions
9.5 Conic Sections*
Chapter Review, Self-Test, and Capstones
10. Vectors
10.1 Cartesian Coordinates
10.2 Vectors
10.3 Dot Product
10.4 Cross Product
10.5 Lines in Three-Dimensional Space
10.6 Planes
Chapter Review, Self-Test, and Capstones
11. Vector Functions
11.1 Vector-Valued Functions
11.2 The Calculus of Vector Functions
11.3 Unit Tangent and Unit Normal Vectors
11.4 Arc Length Parametrizations and Curvature
11.5 Motion
Chapter Review, Self-Test, and Capstones
Part V. Multivariable Calculus
12. Multivariable Functions
12.1 Functions of Two and Three Variables
12.2 Open Sets, Closed Sets, Limits, and Continuity
12.3 Partial Derivatives
12.4 Directional Derivatives and Differentiability
12.5 The Chain Rule and the Gradient
12.6 Extreme Values
12.7 Lagrange Multipliers
Chapter Review, Self-Test, and Capstones
13. Double and Triple Integrals
13.1 Double Integrals over Rectangular Regions
13.2 Double Integrals over General Regions
13.3 Double Integrals in Polar Coordinates
13.4 Applications of Double Integrals
13.5 Triple Integrals
13.6 Integration with Cylindrical and Spherical Coordinates
13.7 Jacobians and Change of Variables
Chapter Review, Self-Test, and Capstones
14. Vector Analysis
14.1 Vector Fields
14.2 Line Integrals
14.3 Surfaces and Surface Integrals
14.4 Green’s Theorem
14.5 Stokes’ Theorem
14.6 The Divergence Theorem
Chapter Review, Self-Test, and Capstones
Authors

Laura Taalman
and master’s and Ph.D. degrees in mathematics from Duke University. Her research includes singular algebraic geometry, knot theory, and the mathematics of games and puzzles. She is a recipient of both the Alder Award and the Trevor Evans award from the Mathematical Association of America, and the author of five books on Sudoku and the mathematics of Sudoku. In her spare time, she enjoys being a geek.
degree from San Francisco State University, and a Ph.D. in mathematics from the University of Texas at Austin. His main areas of research are low-dimensional topology and knot theory. He has been a national judge for MathCounts since 2001. In his spare time, he enjoys hiking and riding his bicycle in the beautiful Shenandoah Valley.

Peter Kohn
and master’s and Ph.D. degrees in mathematics from Duke University. Her research includes singular algebraic geometry, knot theory, and the mathematics of games and puzzles. She is a recipient of both the Alder Award and the Trevor Evans award from the Mathematical Association of America, and the author of five books on Sudoku and the mathematics of Sudoku. In her spare time, she enjoys being a geek.
degree from San Francisco State University, and a Ph.D. in mathematics from the University of Texas at Austin. His main areas of research are low-dimensional topology and knot theory. He has been a national judge for MathCounts since 2001. In his spare time, he enjoys hiking and riding his bicycle in the beautiful Shenandoah Valley.
Instructor Resources
Need instructor resources for your course?
Unlock Your ResourcesInstructor Resources
Access Test Bank
You need to sign in as a verified instructor to access the Test Bank.
Test Bank for Calculus
Laura Taalman; Peter Kohn | First Edition | ©2014 | ISBN:9781319344061
Download Resources
You need to sign in to unlock your resources.
You've selected:
Click the E-mail Download Link button and we'll send you an e-mail at with links to download your instructor resources. Please note there may be a delay in delivering your e-mail depending on the size of the files.
Warning! These materials are owned by Macmillan Learning or its licensors and are protected by copyright laws in the United States and other jurisdictions. Such materials may include a digital watermark that is linked to your name and email address in your Macmillan Learning account to identify the source of any materials used in an unauthorised way and prevent online piracy. These materials are being provided solely for instructional use by instructors who have adopted Macmillan Learning’s accompanying textbooks or online products for use by students in their courses. These materials may not be copied, distributed, sold, shared, posted online, or used, in print or electronic format, except in the limited circumstances set forth in the Macmillan Learning Terms of Use and any other reproduction or distribution is illegal. These materials may not be made publicly available under any circumstances. All other rights reserved. For more information about the use of your personal data including for the purposes of anti-piracy enforcement, please refer to Macmillan Learning's.Privacy Notice
Thank you!
Your download request has been received and your download link will be sent to .
Please note you could wait up to 30 to 60 minutes to receive your download e-mail depending on the number and size of the files. We appreciate your patience while we process your request.
Check your inbox, trash, and spam folders for an e-mail from InstructorResources@macmillan.com.
If you do not receive your e-mail, please visit macmillanlearning.com/support.

Calculus Combo
First Edition| 2014
Laura Taalman; Peter Kohn
Related Titles
Select a demo to view:

