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MTH 36: Trigonometry
Antonio Gonzalez · Chabot College
This text covers plane trigonometry. Includes circular and right triangle trigonometric functions; trigonometric equations, graphs and identities; triangle solutions. Polar coordinates.
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Introductory Quantum Mechanics
Richard Fitzpatrick · University of Texas at Austin
This book is intendedas an introductory course on non-relativistic quantum mechanics. Readers need to be reasonably familiar with Newtonian dynamics, elementary classical electromagnetism and special relativity, the physics and mathematics of waves (including the representation of waves via complex functions), basic probability theory, ordinary and partial differential equations, linear algebra, vector algebra, and Fourier series and transforms.
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Chabot College College Algebra for BSTEM
Najla AbraoChabot College · Chabot College College Algebra for BSTEM
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebraoffers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
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Ordinary Differential Equations
Stephen Wiggins · University of Bristol
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.
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Complex Methods for the Sciences
Y. D. Chong · Nanyang Technological University
Có trong mục lục: 01: Mathematical Functions
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Modern Geometry
Wayne Bishop · California State University, Los Angeles
The standard approach is to develop more results of advanced Euclidean geometry first and to eventually back up and go into hyperbolic geometry. In order to get where we need to get, we will not formally develop some of the advanced Euclidean results that are logically needed because we would never get to the "modern" part of the course’s name. We will come back and develop, or at least introduce conceptually, some of these when we need them late in the course.
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Applied Geometric Algebra
László Tisza · Massachusetts Institute of Technology
The mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These course notes attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics.
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A First Course in Differential Equations for Scientists and Engineers
Russell Herman · University of North Carolina Wilmington
This book is written for an undergraduate course on the introduction to differential equations typically taken by majors in mathematics, the physical sciences, and engineering. In this course we will investigate analytical, graphical, and approximate solutions of differential equations. We will study the theory, methods of solution and applications of ordinary differential equations. This will include common methods of finding solutions, such as using Laplace transform and power series methods.
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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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HiSetMatematicas
Saul Lopez · Santiago Canyon College
Có trong mục lục: HiSet Mathematica (Lopez)
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Numerical Methods
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These notes, taught at the Hong Kong University of Science and Technology with two lecture hours per week, are primarily for non-mathematics majors and were required by several engineering departments.
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An Introduction to the Electronic Structure of Atoms and Molecules
McMaster University · Richard F. W. Bader
The beginning student of chemistry must have a knowledge of the theory which forms the basis for our understanding of chemistry and he must acquire this knowledge before he has the mathematical background required for a rigorous course of study in quantum mechanics. The present approach is designed to meet this need by stressing the physical or observable aspects of the theory through an extensive use of the electronic charge density.
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An IBL Introduction to Geometries
Mark A. Fitch · University of Alaska Anchorage
This text was designed for an IBL approach to Introduction to Geometries and covers geometry topics required for secondary teacher certification. As a result it covers synthetic, transformational, and a tiny bit of analytic approaches to geometry and covers both Euclidean (parabolic), hyperbolic, and some projective geometry. Students are expected to have completed a proofs course covering proof techniques, basic set operations, and cardinality as a prerequisite.
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Visual Statistics Use R!
Alexey Shipunov · Minot State University
The ignorance of the statistical methods can lead to mistakes and misinterpretations. Unfortunately, understanding of these methods is far from common. Many college majors require a course in probability theory and mathematical statistics, but all many of us remember from these courses is horror and/or frustration at complex mathematical formulas filled with Greek letters, some of them wearing hats.
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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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A First Course in Linear Algebra
Ken Kuttler · Brigham Young University
The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced.
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Introductory Statistics STA 2023
Cheban Acharya · Florida Southwestern State College
The Introductory Statistics course/textbook used for STA 2023 at Florida SouthWestern State College, the topics generally follow the standard introductory-statistics sequence. FSW’s STA 2023 is an introductory statistics course, and published course materials emphasize probability, distributions, sampling distributions, confidence intervals, hypothesis testing, and regression/correlation.
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Visual Statistics Use R!
Alexey Shipunov · Minot State University
The ignorance of the statistical methods can lead to mistakes and misinterpretations. Unfortunately, understanding of these methods is far from common. Many college majors require a course in probability theory and mathematical statistics, but all many of us remember from these courses is horror and/or frustration at complex mathematical formulas filled with Greek letters, some of them wearing hats.
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Precalculus
Jay Abramson · OpenStax
This precalculus textmap is intended for college-level Precalculus students and is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text.
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Calculus II: Integral Calculus
Doli Bambhania, Neelam R. Shukla & Danny Tran · De Anza College
This second book in a four-part calculus series is designed for both beginners and advanced students, emphasizing a strong conceptual foundation. It explores essential topics such as rates of change and calculating areas and volumes of irregular shapes, with numerous examples and applications across physics, economics, and engineering.