Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

Table of Contents
1 Charge & Coulomb's Law
2 The Electric Field: Description and Effect
3 The Electric Field Due to one or more Point Charges
4 Conductors and the Electric Field
5 Work Done by the Electric Field, and, the Electric Potential
6 The Electric Potential Due to One or More Point Charges
7 Equipotential Surfaces, Conductors, and Voltage
8 Capacitors, Dielectrics, and Energy in Capacitors
9 Electric Current, EMF, Ohm's Law
10 Resistors in Series and Parallel; Measuring I & V
11 Resistivity, Power
12 Kirchhoff's Rules, Terminal Voltage
13 RC Circuits
14 Capacitors in Series & Parallel
15 Magnetic Field Intro: Effects
16 Magnetic Field: More Effects
17 Magnetic Field: Causes
18 Faraday's Law, Lenz's Law
19 Induction, Transformers, and Generators
20 Faraday's Law and Maxwell's Extension to Ampere's Law
21 The Nature of Electromagnetic Waves
22 Huygens's Principle and 2-Slit Interference
23 Single-Slit Diffraction
24 Thin Film Interference
25 Polarization
26 Geometric Optics, Reflection
27 Refraction, Dispersion, Internal Reflection
28 Thin Lenses: Ray Tracing
29 Thin Lenses: Lens Equation, Optical Power
30 The Electric Field Due to a Continuous Distribution of Charge on a Line
31 The Electric Potential due to a Continuous Charge Distribution
32 Calculating the Electric Field from the Electric Potential
33 Gauss's Law
34 Gauss's Law Example
35 Gauss's Law for the Magnetic Field, and, Ampere's Law Revisited
36 The Biot-Savart Law
37 Maxwell's Equations

Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.
To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.

Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.

Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses.
To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.

Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.\

Additional file formats are available here: https://open.bccampus.ca/browse-our-collection/find-open-textbooks/?uuid=662054ef-3b43-4e62-a509-44ec78e5d8c1&contributor=&keyword=&subject=

Reviews available here: https://open.umn.edu/opentextbooks/textbooks/calculus-early-transcendentals

Table of Contents
Introduction
1 Review
2 Functions
3 Limits
4 Derivatives
5 Applications of Derivatives
6 Integration
7 Techniques of Integration
8 Applications of Integration
9 Sequences and Series
10 Differential Equations
11 Polar Coordinates, Parametric Equations 405
12 Three Dimensions
13 Partial Differentiation
14 Multiple Integration
15 Vector Functions
16 Vector Calculus
Selected Exercise Answers
Index

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

Table of Contents

0 Functions
1 Limits
2 Infinity and Continuity
3 Basics of Derivatives
4 Curve Sketching
5 The Product Rule and Quotient Rule
6 The Chain Rule
7 The Derivatives of Trigonometric Functions and their Inverses
8 Applications of Differentiation
9 Optimization
10 Linear Approximation
11 Antiderivatives
12 Integrals
13 The Fundamental Theorem of Calculus
14 Techniques of Integration
15 Applications of Integration

About the Book

Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course is based around doing practice problems.

Calculus is about the very large, the very small, and how things change—the surprise is that something seemingly so abstract ends up explaining the real world.

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems. One learns calculus by doing calculus, and so this course is based around doing practice problems.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.

Table of Contents
Chapter 1: Functions and Graphs
Chapter 2: Limits
Chapter 3: Derivatives
Chapter 4: Applications of Derivatives
Chapter 5: Integration
Chapter 6: Applications of Integrations

Also available here: https://openstax.org/details/books/calculus-volume-1

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Access also available here: https://openstax.org/details/books/calculus-volume-2

Table of Contents
Chapter 1: Integration

1.1 Approximating Areas
1.2 The Definite Integral
1.3 The Fundamental Theorem of Calculus
1.4 Integration Formulas and the Net Change Theorem
1.5 Substitution
1.6 Integrals Involving Exponential and Logarithmic Functions
1.7 Integrals Resulting in Inverse Trigonometric Functions
Chapter 2: Applications of Integration

2.1 Areas between Curves
2.2 Determining Volumes by Slicing
2.3 Volumes of Revolution: Cylindrical Shells
2.4 Arc Length of a Curve and Surface Area
2.5 Physical Applications
2.6 Moments and Centers of Mass
2.7 Integrals, Exponential Functions, and Logarithms
2.8 Exponential Growth and Decay
2.9 Calculus of the Hyperbolic Functions
Chapter 3: Techniques of Integration

3.1 Integration by Parts
3.2 Trigonometric Integrals
3.3 Trigonometric Substitution
3.4 Partial Fractions
3.5 Other Strategies for Integration
3.6 Numerical Integration
3.7 Improper Integrals
Chapter 4: Introduction to Differential Equations

4.1 Basics of Differential Equations
4.2 Direction Fields and Numerical Methods
4.3 Separable Equations
4.4 The Logistic Equation
4.5 First-order Linear Equations
Chapter 5: Sequences and Series

5.1 Sequences
5.2 Infinite Series
5.3 The Divergence and Integral Tests
5.4 Comparison Tests
5.5 Alternating Series
5.6 Ratio and Root Tests
Chapter 6: Power Series

6.1 Power Series and Functions
6.2 Properties of Power Series
6.3 Taylor and Maclaurin Series
6.4 Working with Taylor Series
Chapter 7: Parametric Equations and Polar Coordinates

7.1 Parametric Equations
7.2 Calculus of Parametric Curves
7.3 Polar Coordinates
7.4 Area and Arc Length in Polar Coordinates
7.5 Conic Sections

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Access also available here: https://openstax.org/details/books/calculus-volume-3

Table of Contents

1. Parametric Equations and Polar Coordinates

1.1. Introduction
1.2. Parametric Equations
1.3. Calculus of Parametric Curves
1.4. Polar Coordinates
1.5. Area and Arc Length in Polar Coordinates
1.6. Conic Sections
2. Vectors in Space

2.1. Introduction
2.2. Vectors in the Plane
2.3. Vectors in Three Dimensions
2.4. The Dot Product
2.5. The Cross Product
2.6. Equations of Lines and Planes in Space
2.7. Quadric Surfaces
2.8. Cylindrical and Spherical Coordinates
3. Vector-Valued Functions

3.1. Introduction
3.2. Vector-Valued Functions and Space Curves
3.3. Calculus of Vector-Valued Functions
3.4. Arc Length and Curvature
3.5. Motion in Space
4. Differentiation of Functions of Several Variables

4.1. Introduction
4.2. Functions of Several Variables
4.3. Limits and Continuity
4.4. Partial Derivatives
4.5. Tangent Planes and Linear Approximations
4.6. The Chain Rule
4.7. Directional Derivatives and the Gradient
4.8. Maxima/Minima Problems
4.9. Lagrange Multipliers
5. Multiple Integration

5.1. Introduction
5.2. Double Integrals over Rectangular Regions
5.3. Double Integrals over General Regions
5.4. Double Integrals in Polar Coordinates
5.5. Triple Integrals
5.6. Triple Integrals in Cylindrical and Spherical Coordinates
5.7. Calculating Centers of Mass and Moments of Inertia
5.8. Change of Variables in Multiple Integrals
6. Vector Calculus

6.1. Introduction
6.2. Vector Fields
6.3. Line Integrals
6.4. Conservative Vector Fields
6.5. Green's Theorem
6.6. Divergence and Curl
6.7. Surface Integrals
6.8. Stokes' Theorem
6.9. The Divergence Theorem
7. Second-Order Differential Equations

7.1. Introduction
7.2. Second-Order Linear Equations
7.3. Nonhomogeneous Linear Equations
7.4. Applications
7.5. Series Solutions of Differential Equations
Table of Integrals
Table of Derivatives
Review of Pre-Calculus

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.

This books covers the following topics: Geometry of Rn; functions from R to Rn; functions from Rn to R; functions from Rm to Rn.

The events of the Arab Spring, beginning in December 2010, saw renewed hope for Arab Civil Society. However, the fall of authoritarian regimes did not always seem to benefit Civil Society – whilst Political Islamic movements often took advantage. In Syria, Iraq, and beyond, groups like the Islamic State are declaring Caliphates in the territories they seize in an attempt to fulfil the Political Islam ideal of a ‘global Islamic Caliphate’ encompassing the Muslim world. This collection of articles aims to address common questions about Political Islam, as well as to provide an assessment of the Islamic State/ISIS/ISIL and finally challenge common understandings on the issue of Islam and democracy.

This textbook introduces aspects of the history of Canada since Confederation. “Canada” in this context includes Newfoundland and all the other parts that come to be aggregated into the Dominion after 1867. Much of this text follows thematic lines. Each chapter moves chronologically but with alternative narratives in mind. What Aboriginal accounts must we place in the foreground? Which structures (economic or social) determine the range of choices available to human agents of history? What environmental questions need to be raised to gain a more complete understanding of choices made in the past and their ramifications?

Table of Contents
Chapter 1: Confederation and the Peoples of Canada
Chapter 2: Confederation in Conflict
Chapter 3: Urban, Industrial, and Divided: Socio-Economic Change, 1867-1920
Chapter 4: Politics and Conflict in Victorian and Edwardian Canada
Chapter 5: Immigration and the Immigrant Experience
Chapter 6: The War Years, 1914-45
Chapter 7: Reform Movements from the 1870s to the 1980s
Chapter 8: The Economy since 1920
Chapter 9: Cold War Canada, 1945-1991
Chapter 10: This is the Modern World
Chapter 11: First Nations from Indian Act to Idle No More
Chapter 12: Canada at the End of History

This textbook introduces aspects of the history of Canada since Confederation. “Canada” in this context includes Newfoundland and all the other parts that come to be aggregated into the Dominion after 1867. Much of this text follows thematic lines. Each chapter moves chronologically but with alternative narratives in mind. What Indigenous accounts must we place in the foreground? Which structures (economic or social) determine the range of choices available to human agents of history? What environmental questions need to be raised to gain a more complete understanding of choices made in the past and their ramifications?

Canadian History: Pre-Confederation is a survey text that introduces undergraduate students to important themes in North American history to 1867. It provides room for Aboriginal and European agendas and narratives, explores the connections between the territory that coalesces into the shape of modern Canada and the larger continent and world in which it operates, and engages with emergent issues in the field. The material is pursued in a largely chronological manner to the early 19th century, at which point social, economic, and political change are dissected. Canadian History: Pre-Confederation provides, as well, a reconnaissance of historical methodology and debates in the field, exercises for students, Key Terms and a Glossary, and section-by-section Key Points. Although this text can be modified, expanded, reduced, and reorganized to suit the needs of the instructor, it is organized so as to support learning, to broaden (and sometimes provoke) debate, and to engage students in thinking like historians. Written and reviewed by subject experts drawn from colleges and universities, this is the first open textbook on the topic of Canadian history.

The University of Massachusetts Medical School (UMMS), in the process of revising its undergraduate medical school curriculum, devised a new course, Cancer Concepts, to
introduce the general principles of oncology to first year students. The goal of the Cancer Concepts course is to begin to prepare students to care for oncology patients in whatever specialty they ultimately choose, and the text provides a foundational guidebook of oncology for non-oncologists.

Table of Contents:

Introduction
Introduction
Supporting Cancer Knowledge Needs Using Online Information
Biological Basis of Oncology & Principles of Multidisciplinary Therapy
Epidemiology and the Cancer Problem
The Pathology of Cancer
Environmental and Infectious Causes of Malignancy
Familial Cancer Syndromes
Cancer Prevention and Screening
Nutrition and Cancer
Cancer Biology
Oncologic Imaging
Staging of Cancer
Oncologic Emergencies and Urgencies
Principles of Multidisciplinary Management
Principles of Surgical Oncology
Principles of Radiation Oncology
Principles of Medical Oncology
Cancer Treatment Drugs
Pediatric Oncology Principles
Cancer as a Chronic Disease
Treatment of Cancer Pain
Organ-Specific Cancers
Respiratory
Lung Cancer and Mesothelioma
Breast
Breast Cancer
Gastrointestinal/Digestive
Colorectal Cancer
Cancer of the Esophagus
Gynecologic
Cervical Cancer
Endometrial Cancer
Head and Neck
Head and Neck Cancers
Unknown
Cancers of Unknown Primary