You know what Stokes' theorem is and how to apply it, but are craving for some real proof that it is true. Well, you've found the right tutorial!

Finding line integrals to be a bit boring? Well, this tutorial will add new dimension to your life by explore what surface integrals are and how we can calculate them.

This series of videos focusing on calculus covers calculating derivatives, power rule, product and quotient rules, chain rule, implicit differentiation, derivatives of common functions.

You can take the derivatives of f(x) and g(x), but what about f(g(x)) or g(f(x))? The chain rule gives us this ability. Because most complex and hairy functions can be thought of the composition of several simpler ones (ones that you can find derivatives of), you'll be able to take the derivative of almost any function after this tutorial. Just imagine.

Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.

The topic that is now known as "calculus" was really called "the calculus of differentials" when first devised by Newton (and Leibniz) roughly four hundred years ago. To Newton, differentials were infinitely small "changes" in numbers that previous mathematics didn't know what to do with. Think this has no relevence to you? Well how would you figure out how fast something is going *right* at this moment (you'd have to figure out the very, very small change in distance over an infinitely small change in time)? This tutorial gives a gentle introduction to the world of Newton and Leibniz.

We told you about the derivatives of many functions, but you might want proof that what we told you is actually true. That's what this tutorial tries to do!

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.

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.

This lesson reviews how to change an improper fraction to a mixed number.

Chemical bonds are the glue that hold molecules together. We will learn about the different kinds of bonds, ways chemists draw bonds and molecules, and how the type of chemical bonding affects the bulk properties of a material. We will cover electronegativity, Lewis dot structures, VSEPR, bond hybridization, and ionic, covalent, and metallic bonds.

Many chemical reactions are reversible, and the forward and backward reactions can occur at the same time. When the rate of the forward reaction is equal to the rate of the backward reaction, we call that a dynamic equilibrium. We will learn how equilibrium can be described by the equilibrium constant K, and how different factors than can affect the chemical equilibrium.

We are now going to delve into the heart of chemistry. We learn ways of representing molecules and how molecules react. To do this, we'll even think about "how many" of a molecule we have using a quantity called a "mole".

Chemistry 2e is designed to meet the scope and sequence requirements of the two-semester general chemistry course. The textbook provides an important opportunity for students to learn the core concepts of chemistry and understand how those concepts apply to their lives and the world around them. The book also includes a number of innovative features, including interactive exercises and real-world applications, designed to enhance student learning. The second edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Substantial improvements have been made in the figures, illustrations, and example exercises that support the text narrative. Changes made in Chemistry 2e are described in the preface to help instructors transition to the second edition. The first edition of Chemistry by OpenStax is available in web view here.

Chemistry: Atoms First is a peer-reviewed, openly licensed introductory textbook produced through a collaborative publishing partnership between OpenStax and the University of Connecticut and UConn Undergraduate Student Government Association.

This title is an adaptation of the OpenStax Chemistry text and covers scope and sequence requirements of the two-semester general chemistry course. Reordered to fit an atoms first approach, this title introduces atomic and molecular structure much earlier than the traditional approach, delaying the introduction of more abstract material so students have time to acclimate to the study of chemistry. Chemistry: Atoms First also provides a basis for understanding the application of quantitative principles to the chemistry that underlies the entire course.

This 10-minute video lesson discusses Carbon 14 Dating (1). [Chemistry playlist: Lesson 105 of 106].

This 10-minute video lesson discusses Carbon 14 Dating (2). [Chemistry playlist: Lesson 106 of 106].

This chapter covers the Civil Procedure topic of Pleading: The Plaintiff's Complaint. The chapter takes approximately four class periods to cover in detail. The student is exposed to cases, presented with questions that are designed to both guide class discussion and to help the student focus his reading of the materials, pleadings from cases, and the applicable Federal Rules of Civil Procedure.

Clinical Nursing Skills is designed to equip nursing students with the practical knowledge and hands-on skills necessary to provide comprehensive patient care. The material emphasizes the application of clinical judgment in a variety of settings, ensuring that students are prepared to deliver high-quality care across different patient populations and clinical scenarios. The content utilizes concepts promoting the development of clinical judgment by building upon the systematic model developed by the National Council of State Boards of Nursing (NCSBN).

Clinical Nursing Skills provides detailed instructions on basic procedures such as hygiene, mobility, vital signs assessment, medication administration, and wound care. It also guides students through more complex skills, including intravenous therapy, catheterization, tracheostomy care, and emergency interventions. By integrating the Clinical Judgment Measurement Model, the material helps students recognize, analyze, prioritize, create, act, and evaluate outcomes in various clinical situations, fostering critical thinking and clinical decision making. By studying Clinical Nursing Skills, students will gain the confidence and competence needed to perform essential nursing tasks, make informed clinical decisions, and provide compassionate, patient-centered care, which will prepare students for success in their clinical rotations and future professional practice.

Senior Contributing Authors
Christy Bowen, Chamberlain University

Contributing Authors
Taranee Albert, Northwestern Medicine
Mary Anne Bera
Jessica Crockett, Baptist Health Care
Lindsay L. Draper, University of North Carolina Greensboro
Sandy Grimm, Nurse Educate
Alissa Hershberger, University of Central Missouri
Stephanie Hoffman, Chamberlain University
Czarina Hounsel, University of Texas at Arlington
Lindsay Jusino, The University of West Florida
Lori Kelly, Lipscomb University
Heather Moore, Xavier University
Amisha Parekh de Campos, University of Connecticut
Margaret Riley, Nurse Educate
Susan M. Rouse (Retired)
Leigh A. Waldron, Western Governors University