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College Trigonometry

Contributors: Stitz and Zeager

Publisher: Stitz Zeager Open Source Mathematics

License: CC BY-NC-SA

Covers chapters 10-11 of Precalculus.

(2 reviews)

Algebra and Trigonometry 2e

Contributor: Abramson

Publisher: OpenStax

License: CC BY

Algebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.

(18 reviews)

Trigonometry

Contributors: Sundstrom and Schlicker

Publisher: Grand Valley State University

License: CC BY-NC-SA

This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So 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.

(2 reviews)

College Algebra & Trigonometry

Contributor: Beveridge

Publisher: Richard W. Beveridge

License: CC BY-NC-SA

This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

(5 reviews)

Trigonometry

Contributor: Beveridge

Publisher: Richard W. Beveridge

License: CC BY-NC-SA

The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.

(2 reviews)

Trigonometry

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry.

No ratings

(0 reviews)

Modeling, Functions, and Graphs

Contributor: Yoshiwara

Publisher: Bruce Yoshiwara

License: Free Documentation License (GNU)

Modeling, Functions, and Graphs covers the content of a typical college algebra course with an emphasis on functions and modeling; when combined with a trigonometry text or supplement, this text can be used in a precalculus course.

No ratings

(0 reviews)

Elementary Calculus

Contributor: Corral

Publisher: Michael Corral

License: Free Documentation License (GNU)

This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).

(1 review)

The Essence of Mathematics Through Elementary Problems

Contributors: Borovik and Gardiner

Publisher: Open Book Publishers

License: CC BY

It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.

No ratings

(0 reviews)

Operational Amplifiers & Linear Integrated Circuits: Theory and Application - 3e

Contributor: Fiore

Publisher: dissidents

License: CC BY-NC-SA

The goal of this text, as its name implies, is to allow the reader to become proficient in the analysis and design of circuits utilizing modern linear ICs. It progresses from the fundamental circuit building blocks through to analog/digital conversion systems. The text is intended for use in a second year Operational Amplifiers course at the Associate level, or for a junior level course at the Baccalaureate level. In order to make effective use of this text, students should have already taken a course in basic discrete transistor circuits, and have a solid background in algebra and trigonometry, along with exposure to phasors. Calculus is used in certain sections of the text, but for the most part, its use is kept to a minimum. For students without a calculus background, these sections may be skipped without a loss of continuity. (The sole exception to this being Chapter Ten, Integrators and Differentiators, which hinges upon knowledge of calculus.)

(1 review)