The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website LarsonCalculus.com offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text.
P. Preparation for Calculus
1. Limits and their Properties
2. Differentiation
3. Applications of Differentiation
4. Integration
5. Logarithmic, Exponential, and Other Transcendental Functions
6. Differential Equations
7. Applications of Integration
8. Integration Techniques, L’Hopital’s Rule, and Improper Integrals
9. Infinite Series
10. Conics, Parametric Equations, and Polar Coordinates
11. Vectors and the Geometry of Space
12. Vector-Valued Functions
13. Functions of Several Variables
14. Multiple Integration
15. Vector Analysis
16. Second Order Differential Equations* (online)
A. Proofs of Selected Theorems
B. Integration Tables
C. Precalculus Review (online)
D. Rotation and the General Second-Degree Equation (online)
E. Complex Numbers (online)
F. Business and Economic Applications (online)
G. Fitting Models to Data (online)
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Ron Larson
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also written numerous acclaimed textbooks, including the best-selling Calculus Series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.
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Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text. The selected textbook exercises will have a QR code next to the exercise number for easy access via a smart phone.
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More conceptual exercises have been added to help students better understand the concepts being taught in each section.
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The Section Projects have been carefully and extensively examined to ensure they are rigorous and relevant. The authors have added and revised a number of these projects.
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LarsonCalculus.com – The authors created a free website hosting valuable resources. At this website, you can access the following: Proof Videos – Watch co-author Bruce Edwards present theorems and explain their proofs. Calculus Videos – Watch Dana Mosely explain concepts of calculus. Interactive Examples – Explore examples using Wolfram’s free CDF player (plug-in required). Rotatable Graphs – View and rotate three-dimensional graphs using Wolfram’s free CDF player (plug-in required).
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HOW DO YOU SEE IT? Exercise - The How Do You See It? exercise in each section presents a problem that you will solve by visual inspection using the concepts learned in the lesson.
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Remarks - These hints and tips can be used to reinforce or expand upon concepts, help you learn how to study mathematics, caution you about common errors, address special cases, or show alternative or additional steps to a solution of an example.
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Exercise Sets - The exercise sets have been carefully and extensively examined to ensure they are rigorous, relevant, and cover all topics suggested by our users. Multi-step, real-life exercises reinforce problem-solving skills and mastery of concepts by giving you the opportunity to apply the concepts in real-life situations. Putnam Exam questions to push the limits of students’ understanding of calculus. Graphing technology exercises for students to make us of a graphing utility to help find solutions.
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Second Order Differential Equations: Available online, this chapter delves into second order differential equations. This will greatly help engineering and math majors.
IAC K12AE COGNERO CALCULUS
9781337286954
SSO K12AE COGNERO CALCULUS
9781337286947