Calculus, 11/e (Metric Version)(IE-Paperback)

Ron Larson , Bruce H. Edwards

Calculus, 11/e (Metric Version)(IE-Paperback)

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商品描述

Description
 With a long history of innovation in the market, Larson/Edwards’ CALCULUS, INTERNATIONAL METRIC EDITION has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

Features

• LarsonCalculus.com – The authors created a free website offering many valuable resources, including 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).
• The How Do You See It? exercise in each section presents a problem that students solve by visual inspection using the concepts learned in the lesson.
• Remarks - These hints and tips can be used to reinforce or expand upon concepts, help students learn how to study mathematics, caution them against common errors, address special cases, or show alternative or additional steps to a solution of an example.
• 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 students the opportunity to apply the concepts in real-life situations. Putnam Exam questions push the limits of students’ understanding of calculus. Graphing technology exercises allow students to make use of a graphing utility to help find solutions.
• Second Order Differential Equations - Available online, this chapter delves into second order differential equations. This will greatly help engineering and math majors.
• Graded Homework Exercises - Online homework and tests are evaluated using powerful Maple software to ensure mathematical accuracy. Instructors control point values, weighting grades, and whether or not an item is graded. An electronic gradebook helps instructors manage course information easily and can be exported to other files, such as Excel.


New to this Edition

• 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.
• More conceptual exercises have been added to help students better understand the concepts being taught in each section.
• 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.

商品描述(中文翻譯)

描述
擁有市場上創新歷史的Larson/Edwards的《微積分，國際公制版》被學生和教授廣泛讚揚，因其堅實有效的教學法，滿足了廣泛的教學和學習風格和環境的需求。該系列中的每一本書都是綜合微積分課程計劃的一部分，精心整合和協調印刷品、媒體和技術產品，以實現成功的教學和學習。

特點

- LarsonCalculus.com - 作者創建了一個免費的網站，提供許多有價值的資源，包括證明視頻（觀看共同作者布魯斯·愛德華茲演示定理並解釋其證明）；微積分視頻（觀看達納·莫斯利解釋微積分概念）；互動示例（使用Wolfram的免費CDF播放器探索示例，需要插件）；可旋轉圖形（使用Wolfram的免費CDF播放器查看和旋轉三維圖形）。
- 每個章節中的「你如何看待它？」練習通過視覺檢查使用所學概念解決問題。
- 注釋 - 這些提示和技巧可用於強化或擴展概念，幫助學生學習如何學習數學，警告他們避免常見錯誤，處理特殊情況，或展示解決示例的替代或附加步驟。
- 練習集 - 經過仔細和廣泛的檢查，以確保它們嚴謹、相關且涵蓋我們的用戶建議的所有主題。多步驟、真實生活的練習通過讓學生有機會在實際情況中應用概念來加強解決問題的能力和概念的掌握。普特南考試的問題推動學生對微積分的理解極限。圖形技術練習允許學生使用圖形工具來幫助找到解決方案。
- 二階微分方程 - 在線上提供，這一章節深入探討了二階微分方程。這將對工程和數學專業非常有幫助。
- 分級作業練習 - 在線作業和測試使用強大的Maple軟件進行評估，以確保數學的準確性。教師可以控制分數、權重和是否對項目進行評分。電子成績冊幫助教師輕鬆管理課程信息，並可以導出到其他文件，如Excel。

本版新增內容

- 在文本中的選定練習中提供了帶有指導的解決方案視頻。選定的教科書練習將在練習編號旁邊有一個QR碼，方便通過智能手機輕鬆訪問。
- 添加了更多概念性練習，以幫助學生更好地理解每個章節所教授的概念。
- 仔細檢查和修訂了章節項目，以確保其嚴謹性和相關性。作者添加和修訂了其中的一些項目。

目錄大綱

Table of Contents
 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 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.

APPENDIX.
 A. Proofs of Selected Theorems.
 B. Integration Tables.
 C. Precalculus Review (Web).
 C.1. Real Numbers and the Real Number Line.
 C.2. The Cartesian Plane.
 D. Rotation and the General Second-Degree Equation (Web).
 E. Complex Numbers (Web).
 F. Business and Economic Applications (Web).
 G. Fitting Models to Data (Web).

目錄大綱(中文翻譯)

目錄
準備計算
1.極限及其性質
2.微分
3.微分應用
4.積分
5.對數、指數和其他超越函數
6.微分方程
7.積分應用
8.積分技巧和不定積分
9.無窮級數
10.圓錐曲線、參數方程和極座標
11.向量和空間幾何
12.向量值函數
13.多變數函數
14.多重積分
15.向量分析
16.二階微分方程*線上

附錄
A.部分定理的證明
B.積分表
C.預備課程回顧（網路）
C.1.實數和實數線
C.2.笛卡爾座標系
D.旋轉和一般二次方程（網路）
E.複數（網路）
F.商業和經濟應用（網路）
G.將模型擬合到數據（網路）

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