Thư viện số
Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
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Calculus
CK-12 Foundation · LibreTexts
LibreTexts
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Spiral Physics - Calculus Based
Paul D'Alessandris · Monroe Community College
Có trong mục lục: Spiral Electricity and Magnetism (Calculus-Based) · Spiral Mechanics (Calculus-Based)
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Math 4A: Multivariable Calculus
Zoya Kravets · Mission College
Có trong mục lục: 2.03: Calculus of Vector-Valued Functions · 05: Vector Calculus · 5.01: Prelude to Vector Calculus
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Calculus I Notes
Kevin Palencia · Northern Illinois University
Có trong mục lục: 3.06: Limits at Infinity Horizontal Asymptotes and How to Use Calculus to Sketch the Graph of a Function · 4.03: The Fundamental Theorem of Calculus · 05: Active Calculus (Boelkins et al.)
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MTH 15: Applied Calculus I
LibreTexts
Có trong mục lục: 6.02: Calculus of Functions of Two Variables
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CLP-4 Vector Calculus (Feldman, Rechnitzer, and Yeager)
Joel Feldman, Andrew Rechnitzer and Elyse Yeager · University of British Columbia
This textbook covers Vector Calculus. There are chapters on curves, vector fields, surface integrals and integral theorems (such as the divergence theorem).
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MTH 211: Calculus II
Paul Seeburger · Monroe Community College
Có trong mục lục: Calculus I Review · 5.3: The Fundamental Theorem of Calculus · 6.9: Calculus of the Hyperbolic Functions
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MATH 1200: Calculus for Scientists I
Pamini Thangarajah · Mount Royal University
Có trong mục lục: 0: Pre-Calculus Refresher · 5.3: The Fundamental Theorem of Calculus · 0E:Precalculus Review
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TMCC: Precalculus I and II
OpenStax · LibreTexts
Có trong mục lục: Under Construction test2 12: Introduction to Calculus · Under Construction test2 12: Introduction to Calculus 12.0: Prelude to Calculus · Under Construction test2 12: Introduction to Calculus 12.1: Finding Limits - Numerical and Graphical Approaches
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Calculus for Life Sciences
Anup Lamichhane · Ohio Northern Univeristy
Có trong mục lục: 2.02: A Preview of Calculus · 5.04: The Fundamental Theorem of Calculus
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Active Prelude to Calculus
Matthew Boelkins, David Austin & Steven Schlicker · Grand Valley State University
This text is designed for college students who aspire to take calculus and who either need to take a course to prepare them for calculus or want to do some additional self-study. Many of the core topics of the course will be familiar to students who have completed high school. At the same time, we take a perspective on every topic that emphasizes how it is important in calculus. The reader will find that the text requires them to engage actively with the material.
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Math C185: Calculus II (Tran)
Chau D. Tran · Coastline College
LibreTexts
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Applied Calculus
Shana Calaway, Dale Hoffman, & David Lippman · LibreTexts
Có trong mục lục: 4.02: Calculus of Functions of Two Variables
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MTH2301 Multivariable Calculus
Veronique Van Lierde · Al Akhawayn University
Có trong mục lục: 12.02: The Calculus of Vector-Valued Functions · 12.2E: Exercises for The Calculus of Vector-valued Functions
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Intermediate Algebra and Precalculus
Margaret H. Dean · Borough of Manhattan Community College
This course integrates Intermediate Algebra and Trigonometry with Precalculus. Topics include properties of real numbers, polynomials and factoring, equations and inequalities in one and two variables, systems of linear equations, rational expressions and functions, rational exponents and roots, quadratic functions, exponential and logarithmic functions, and trigonometric functions.
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MAT 03B Calculus II
Zoya Kravets · Mission College
Có trong mục lục: 5.03: The Fundamental Theorem of Calculus · 5.08: Calculus of the Hyperbolic Functions · 11.03: Calculus of Parametric Curves
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MATH 261: Calculus I
Edward Pineda-Castro · Los Angeles City College
Có trong mục lục: 1.02: A Preview of Calculus · 4.03: The Fundamental Theorem of Calculus
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Math 098: Intermediate Algebra for Calculus
Highline College
This text introduces a variety of algebraic techniques and functions that will prepare you for calculus. Focus will be placed on quadratic, rational, and radical functions with emphasis on algebraic techniques used to combine and simplify them. Techniques will include factoring, simplifying (adding/subtracting/multiplying/dividing) polynomials, rational and radical expressions, and relationships between equations and their respective functions and graphs.
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Math C097: Support for Precalculus Corequisite: MATH C170
Chau D. Tran · Coastline College
This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles.
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Math 370: Precalculus
Carl Stitz & Jeff Zeager · Lakeland Community College & Lorain County Community College
Có trong mục lục: 5.4: Algebraic Simplifications Necessary for Calculus