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Street-Fighting Mathematics
Sanjoy Mahajan · Olin College of Engineering
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions.
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Distillation Science
Larry Coleman · LibreTexts
This is a ten-part series of technical articles on Distillation Science, as is currently practiced on an industrial level. It is organized as it would be used for the process design of large-scale distillation columns, which may differ from the way topics are introduced to students academically. As a part of distillation column design, these articles also involve the vapor-liquid equilibria (VLE) of binary systems, with potential extension to multi-component systems.
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Linear Algebra
David Cherney, Tom Denton, & Andrew Waldron · University of California, Davis
Linear algebra is the study of vectors and linear transformations. This text is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations.
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Introduction to Climate Science
Andreas Schmittner · Oregon State University
This book describes how Earth's climate is changing, how it has been changing in the recent geological past and how it may change in the future. It covers the physical sciences that build the foundations of our current understanding of global climate change such as radiation, Earth's energy balance, the greenhouse effect and the carbon cycle. Both natural and human causes for climate change are discussed. Impacts of climate change on natural and human systems are summarized.
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Applied Linear Algebra and Differential Equations
Jeffrey R. Chasnov · Hong Kong University of Science and Technology
These lecture notes are for a mathematics course offered to second-year engineering students. Material from our usual courses on linear algebra and differential equations have been combined into a single course (essentially, two half-semester courses) at the request of our Engineering School. I have tried my best to select the most essential and interesting topics from both courses, and to show how knowledge of linear algebra can improve students’ understanding of differential equations.
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.
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Math 4A: Multivariable Calculus
Zoya Kravets · Mission College
Math 4A: Multivariable Calculus at Mission College is the third and final part of a three-semester calculus sequence for students in math, physics, and engineering majors. The course covers topics such as: Vector-valued functions, Calculus of functions with more than one variable, Partial derivatives, Differentials, Gradients, Lagrange multipliers, Multiple integration, Line integrals, Surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence theorem.
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Key Elements of Green Chemistry
Lucian Lucia · North Carolina State University
Green chemistry, in addition to being a science, it is also a philosophy and nearly a religion. Attendance at American Chemical Society Green Chemistry & Engineering Conferences will instill such an ideal into any attendant because of the nearly universal appeal and possibilities in this novel approach to radicalizing the business of doing science and engineering.
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Electromagnetics I
Steven W. Ellingson · Virginia Tech
This book is intended to serve as a primary textbook for a one-semester introductory course in undergraduate engineering electromagnetics, including the following topics: electric and magnetic fields; electromagnetic properties of materials; electromagnetic waves; and devices that operate according to associated electromagnetic principles including resistors, capacitors, inductors, transformers, generators, and transmission lines.
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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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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. This course covers techniques of solving ordinary differential equations including exact, separable, and linear equations; integrating factors; the method of undetermined coefficients; variation of parameters; Laplace transforms; series solutions; systems of differential equations; and applications.
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
This book on fluid mechanics is concerned with phenomena that we have all been familiar with since childhood: flows you see in sinks and bathtubs, in rivers, and at the beach. Prerequisites include basic linear algebra, differential and integral calculus and Newton’s laws of motion. As we go along we discover the need for the more advanced tools of tensor analysis.
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Introduction to Climate Science (Schmittner 2021)
LibreTexts
LibreTexts
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Complex Analysis - A Visual and Interactive Introduction
Juan Carlos Ponce Campuzano · University of Queensland
The study of complex analysis is important for students in engineering and the physical sciences and is a central subject in mathematics. In addition to being mathematically elegant, complex analysis provides powerful tools for solving problems that are either very difcult or virtually impossible to solve in any other way. In this book you will find examples, problems and applets that allow you to explore complex analysis by using the visual interactive power of the computer (or tablet).
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Quantitative Genetics for Plant Breeding
Walter Suza and Kendall Lamkey · Iowa State University
This open textbook is intended to expose students to the application of quantitative genetic models to plant breeding populations. Specific topics include conducting and interpreting multi-environment trials, resource allocation using engineering principles, genetic modeling of quantitative traits, simulation modeling, variance, covariance and heritability, prediction, selection, and genetic gain.
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CHEM 145: FA22 Van Bramer
Scott Van Bramer · Widener University
This is the first semester of a two-semester introductory chemistry sequence for science, engineering, and pre-med programs. Topics include elements, atomic structure, molecular structure, chemical reactions, stoichiometry, thermochemistry, gases, liquids, and solids.
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Math 420: Differential Equations
Ron Breitenbach · Cosumnes College
This text is written for students in science, engineering, and mathematics who have completed single variable calculus. This course will cover the theory and the applications of the solutions of ordinary differential equations and systems of ordinary differential equations. The course will introduce students to various topics useful in the solution of differential equations including power series, Laplace transforms, matrices, eigenvalues and eigenvectors, and numerical methods.
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Environmental Science
Bill Freedman · Dalhousie University
This textbook is intended to provide the core elements of a curriculum for teaching environmental science at the introductory level in Canadian colleges and universities. This book is suitable for students beginning a program in environmental science, environmental studies, or sustainability. It is also appropriate for arts students who require a science elective, and for science students who require a non-major elective.
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Science of Food
Trisha Russell · Whitworth University
Food Science is a multi-disciplinary field involving chemistry, biochemistry, nutrition, microbiology and engineering to give one the scientific knowledge to solve real problems associated with the many facets of the food system. The basis of the discipline lies in an understanding of the chemistry of food components, such as proteins, carbohydrates, fats and water and the reactions they undergo during processing and storage.
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.