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Trigonometry
Katherine Yoshiwara · Los Angeles Pierce College
This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.
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University Physics III: Optics & Modern Physics
OpenStax · LibreTexts
University Physics is designed for the two- or three-semester calculus-based physics course. This volume explores optics and modern physics, beginning with how light behaves through reflection, refraction, interference, and diffraction. It then moves into relativity and quantum mechanics, introducing photons, matter waves, and atomic structure. The text also covers condensed matter, nuclear physics, and cosmology, linking theory to technologies like lasers, semiconductors, and medical imaging.
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Math 175: Plane Trigonometry
LibreTexts
This course is designed for students who are majoring in math, science, and engineering. This course equips students with the skills necessary for success in pre-calculus. It presents the concepts of plane trigonometry using a functions approach. Included is a study of basic relations, functions, and transformations, as well as circular functions, trigonometric functions of angles, identities, inverse functions and their equations and solutions of triangles.
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
Có trong mục lục: 04: Tensor Calculus · 4.01: Vector calculus operations
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Conceptual Mathematics in Society
Ricela Feliciano-Semidei · Northern Illinois University
This textbook supports a strong preparation for the precalculus and calculus sequence through college-level skills to complete mathematical work and to develop conceptual understanding, rather than focusing solely on memorization and repetition of processes.
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Mission College MAT 003B
Benjamin Fineman · Mission College
Có trong mục lục: 1.03: The Fundamental Theorem of Calculus · 1.08: Calculus of the Hyperbolic Functions
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Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman · Linfield College
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits.
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Elementary First Order Dynamic Equations on Time Scales
Svetlin G. Georgiev · Sorbonne University
This text introduces basic first-order differential-like equations within the framework of time scales calculus, a mathematical theory that unifies differential equations (continuous time) and difference equations (discrete time) into a single approach.
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Introductory Physics: Building Models to Describe Our World
Ryan D. Martin, Emma Neary, Joshua Rinaldo, and Olivia Woodman · Queen's University
Có trong mục lục: 3.03: Using Calculus to Describe Motion · 17.04: Interpretation of Gauss Law and vector calculus · 26: Calculus
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Applied Geometric Algebra
László Tisza · Massachusetts Institute of Technology
Có trong mục lục: 05: Spinor Calculus
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Chem 371: P-Chem 2 to Folow Combined Biophysical and P-Chem 1
Jonathan Gutow · University of Wisconsin - Oshkosh
This compilation is aimed at second semester physical chemistry students who's first semester was a combined biophysical and physical chemistry course. It does expect students have enough math background to use concepts from multivariable calculus and calculus based physics.
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Elementary Trigonometry
Michael Corral · Schoolcraft College
This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.
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Math 125: Hope College
Katharine Vance · Hope College
This course covers the material typically taught in the first half of a Calculus I course. The calculus material is supplemented by reviewing topics of high school mathematics as needed. The calculus topics are also taught at a slower pace. Topics include function review, limits and continuity, the concept (and definition) of a derivative, and differentiation rules (product rule, quotient rule, chain rule are included).
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Elementary Abstract Algebra
W Edwin Clark · University of South Florida
This book is intended for a one semester introduction to abstract algebra. We assume that students have some familiarity with basic set theory linear algebra and calculus. But very little of this nature will be needed To a great extent the course is self contained except for the requirement of a certain amount of mathematical maturity. And hopefully the student's level of mathematical maturity will increase as the course progresses.
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Manchester University Physical Chemistry I (CHEM 341)
Kathy Davis · Manchester University
Textbook for CHEM 341 at Manchester University (Physical Chemistry I). Foundations of quantum mechanics for describing atomic structure, molecular motion and chemical bonding, with specific applications to spectroscopy and chemical reactivity. Prerequisite(s): CHEM 113 (General Chemistry II), MATH 122 (Calculus II).
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Trigonometry
Ted Sundstrom & Steven Schlicker · Grand Valley State University
This trigonometry textbook this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section.
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Quantitative Research Methods for Political Science, Public Policy and Public Administration (With Applications in R)
Hank Jenkins-Smith; Joseph Ripberger · University of Oklahoma Libraries · 2017
The focus of this book is on using quantitative research methods to test hypotheses and build theory in political science, public policy and public administration. It is designed for advanced undergraduate courses, or introductory and intermediate graduate-level courses. The first part of the book introduces the scientific method, then covers research design, measurement, descriptive statistics, probability, inference, and basic measures of association. The second part of the book covers bivariate and multiple linear regression using the ordinary least squares, the calculus and matrix algebra that are necessary for understanding bivariate and multiple linear regression, the assumptions that underlie these methods, and then provides a short introduction to generalized linear models.The book fully embraces the open access and open source philosophies. The book is freely available in the SHAREOK repository; it is written in R Markdown files that are available in a public GitHub repository; it uses and teaches R and RStudio for data analysis, visualization and data management; and it uses publically available survey data (from the Meso-Scale Integrated Socio-geographic Network) to illustrate important concepts and methods. We encourage students to download the data, replicate the examples, and explore further! We also encourage instructors to download the R Markdown files and modify the text for use in different courses.
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University Physics I: Classical Mechanics
Julio Gea-Banacloche · University of Arkansas · 2019
This is a “minimalist” textbook for a first semester of university, calculus-based physics, covering classical mechanics (including one chapter on mechanical waves, but excluding fluids), plus a brief introduction to thermodynamics. The presentation owes much to Mazur’s The Principles and Practice of Physics: conservation laws, momentum and energy, are introduced before forces, and one-dimensional setups are thoroughly explored before two-dimensional systems are considered. It contains both problems and worked-out examples.
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University Physics
Jeff Sanny; Samuel Ling · OpenStax · 2016
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.
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Light and Matter
Benjamin Crowell · Benjamin Crowell · 2010
This is an introductory text intended for a one-year introductory course of the type typically taken by biology majors, or for AP Physics B. Algebra and trig are used, and there are optional calculus-based sections.