Natural Sciences

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Advanced Problems in Mathematics: Preparing for University
(Open Book Publishers, 2016) Siklos, Stephen
This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.
Advanced Water Mathematics
(College of the Canyons, 2019) Alvord, Michael
Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment
Atomic Physics for Everyone: An Introduction to Atomic Physics, Quantum Mechanics, and Precision Spectroscopy with No College-Level Prerequisites
(Springer, 2025) Raven, Will
This open access textbook introduces beginning undergraduate students and high school students to the world of quantum mechanics and atomic spectroscopy. Requiring no previous knowledge of physics and no math beyond basic algebra and sines and cosines, this book focuses on concepts to make the excitement of atomic physics more accessible for learners than ever before. It comes replete with learning goals, exercises and solutions, and an optional experimental component, making this text readily adoptable for both the classroom and the undergraduate lab. The book takes the reader on a lively and engaging tour through topics at the forefront of current science, including photons, quantum numbers, atomic energy levels, some different spectroscopy techniques, electronic structure, atomic notation, angular momentum, hyperfine structure, isotope shifts, the strong force, an introduction to the Standard Model of Particle Physics, and more.
Body Physics: Motion to Metabolism
(Open Oregon Educational Resources, 2018) Davis, Lawrence
Body Physics sticks to the basic functioning of the human body, from motion to metabolism, as a common theme through which fundamental physics topics are introduced. Related practice, reinforcement and Lab activities are included. See the front matter for more details.
Chemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual
(Oregon State University, 2019) Mehl, Ryan; Zee, Kari van; Kean, Kelsey
Chemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual
Chemistry of Cooking
(2019) Rodriguez-Velazquez, Sorangel
People around the world are fascinated about the preparation of food for eating. There are countless cooking books, TV shows, celebrity chefs and kitchen gadgets that make cooking an enjoyable activity for everyone. The chemistry of cooking course seeks to understand the science behind our most popular meals by studying the behavior of atoms and molecules present in food. This book is intended to give students a basic understanding of the chemistry involved in cooking such as caramelization, Maillard reaction, acid-base reactions, catalysis, and fermentation. Students will be able to use chemistry language to describe the process of cooking, apply chemistry knowledge to solve questions related to food, and ultimately create their own recipes.
Chemistry Techniques and Explorations: An Introductory Chemistry Laboratory Manual
(2023) Albert, Daniel
Chemistry Techniques and Explorations (2023) by Dr. Daniel R. Albert is an eTextbook laboratory manual for first semester introductory chemistry courses. The manual includes two different types of experiments (Technique and Exploration) designed to engage students in chemistry laboratory practices. Technique laboratories are designed for students to learn and practice chemistry laboratory skills that are utilized in a wide variety of disciplines. Exploration laboratories provide freedom and time for students to use previously acquired skills toward answering a new application focused question. Exploration laboratories help build the scientific thinking skills necessary to approach novel problems. The goal of this lab manual is to build both fundamental techniques and problem-solving skills that aid students in becoming practicing scientists.
College Physics - 2e
(OpenStax, 2022) Urone, Paul Peter; Hinrichs, Roger; Dirks, Kim
College Physics 2e introduces topics conceptually and progresses through clear explanations in the context of career-oriented, practical applications, and meets the scope and sequence of an algebra-based physics course. The narrative of physics and scientific discovery has been even further expanded to focus on including more diverse contributors to the field. Building on the success of the first edition the authors have increased focus on interdisciplinary connections, including enhancements to biological and medical applications. The problem solving approach has been revised to further unify conceptual, analytical, and calculation skills within the learning process, the authors have integrated a wide array of strategies and supports throughout the text for students.
Contemporary Mathematics
(OpenStax, 2023) Kirk, Donna
Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.
Discrete Math with SageMath: Learn math with open-source software
(2025) Ahmed, Zunaid; Colman, Hellen; Lubliner, Samuel
Our book is intended to provide concise and complete instructions on how to use Sage to solve problems in Discrete Math. It is appropriate for a first or second year undergraduate course for math and computer science majors. Our goal is to streamline the learning process with SageMath. This approach helps students focus more on mathematics and reduces the friction of learning how to code. Our resources are designed for all math students, regardless of programming experience. The novelty of our project is that the textbook is authored by students under faculty supervision. With Open Pedagogy as a guiding praxis, we present this student-created textbook as a more effective alternative in promoting student learning and engagement. Students present the contents in new and inventive ways, from the overall voice of the textbook to the actual examples drawn from their and their peers' lives. The text began as a support textbook for our undergraduate Discrete Math course developed at Wright College, one of the City Colleges of Chicago. Despite the fabulous capabilities of SageMath, students in Discrete Math were often frustrated by the lack of specific documentation geared towards beginning undergrad students in Discrete Math. We developed an OER for our students to use this mathematical software effectively.
Discrete Mathematics: An Open Introduction - 3rd Edition
(Oscar Levin, 2016) Levin, Oscar
Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.
Electrolysers, Fuel Cells and Batteries: Analytical Modelling
(TU Delft Open, 2024) Haverkort, Willem
Electrochemical engineering deals with electrochemical devices like electrolysers, fuel cells, and batteries. While several excellent books exist in this long-standing and still growing field, their focus is usually on chemistry or phenomenology. In this textbook, we focus on mathematical modelling of the physical phenomena involved. Instead of resorting to numerical modelling, the aim is to derive simplified analytical models that maximise understanding. Porous electrodes, ion mass transport, and multiphase flow are central themes in this book. Examples include modelling the water saturation in a fuel cell diffusion layer, the gas fraction and current distribution in an alkaline water electrolyser, the potential distribution in a binary electrolyte inside porous battery electrode, and the concentration distribution in the flow channel of a redox flow battery. This makes for a diverse, challenging, and stimulating journey, for both students and researchers.
Energy and Human Ambitions on a Finite Planet
(eScholarship, 2021) Murphy, Thomas W.
Where is humanity going? How realistic is a future of fusion and space colonies? What constraints are imposed by physics, by resource availability, and by human psychology? Are default expectations grounded in reality? This textbook, written for a general-education audience, aims to address these questions without either the hype or the indifference typical of many books. The message throughout is that humanity faces a broad sweep of foundational problems as we inevitably transition away from fossil fuels and confront planetary limits in a host of unprecedented ways—a shift whose scale and probable rapidity offers little historical guidance. Salvaging a decent future requires keen awareness, quantitative assessment, deliberate preventive action, and—above all—recognition that prevailing assumptions about human identity and destiny have been cruelly misshapen by the profoundly unsustainable trajectory of the last 150 years. The goal is to shake off unfounded and unexamined expectations, while elucidating the relevant physics and encouraging greater facility in quantitative reasoning. After addressing limits to growth, population dynamics, uncooperative space environments, and the current fossil underpinnings of modern civilization, various sources of alternative energy are considered in detail— assessing how they stack up against each other, and which show the greatest potential. Following this is an exploration of systemic human impediments to effective and timely responses, capped by guidelines for individual adaptations resulting in reduced energy and material demands on the planet’s groaning capacity. Appendices provide refreshers on math and chemistry, as well as supplementary material of potential interest relating to cosmology, electric transportation, and an evolutionary perspective on humanity’s place in nature.
Exploring Physical Phenomena
(Oregon State University, 2019) Zee, Emily van; Gire, Elizabeth
This course is intended for prospective and practicing elementary and middle school teachers. By exploring physical phenomena in class, you will learn science in ways in which you are expected to teach science in schools or in informal settings such as afterschool programs, youth group meetings, and museum workshops. This course also is appropriate for general science students and others interested in exploring some of the physical phenomena underlying global climate change. The theme for the course is: What happens when light from the Sun shines on the Earth? The emphasis is on questioning, predicting, exploring, observing, discussing, reading, and writing about what one thinks and why. This first unit focuses on exploring the nature of light phenomena. Among the unit’s many goals are two primary ones: to learn about light phenomena and to learn about ways to foster science learning for yourself and others such as your family, friends, and students.
Fundamentals of Math, Physics, and Statistics for Future Transportation Professionals
(Mavs Open Press, 2024) Pande, Anurag; Ratto, Peyton; Farid, Ahmed
This textbook and OER material cover tools and basic knowledge required to master the prerequisite essentials of physics, mathematics, and statistics applied in transportation engineering. To our knowledge, no such textbook currently exists to build the KSTs (Knowledge, Skills, Tools) for college freshmen’ remedial courses required by most transportation engineering graduate programs that admit non-engineers (e.g., PHYS 141, MATH 142, STAT 321 at California Polytechnic State University, San Luis Obispo). The textbook modules are intended for students with undergraduate degrees in planning and other less technical fields who are interested in pursuing transportation careers where background engineering knowledge is required. This textbook is a product of the grant OERTransport: Enabling Transportation Planning Professional Advancement awarded to the University of Texas-Arlington (UTA) in consortium with California Polytechnic State University (Cal Poly) and the University of South Florida (USF). It was developed under an Open Textbooks Pilot grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education. However, its contents do not necessarily represent the policy of the Department of Education, and no endorsement by the Federal Government should be assumed
General Chemistry: Principles, Patterns, and Applications
(Saylor Foundation, 2011) Averill, Bruce; Eldredge, Patricia
The overall goal of the authors with General Chemistry: Principles, Patterns, and Applications was to produce a text that introduces the students to the relevance and excitement of chemistry. Although much of first-year chemistry is taught as a service course, Bruce and Patricia feel there is no reason that the intrinsic excitement and potential of chemistry cannot be the focal point of the text and the course. So, they emphasize the positive aspects of chemistry and its relationship to students' lives, which requires bringing in applications early and often. In addition, the authors feel that many first year chemistry students have an enthusiasm for biologically and medically relevant topics, so they use an integrated approach in their text that includes explicit discussions of biological and environmental applications of chemistry. Topics relevant to materials science are also introduced to meet the more specific needs of engineering students. To facilitate integration of such material, simple organic structures, nomenclature, and reactions are introduced very early in the text, and both organic and inorganic examples are used wherever possible. This approach emphasizes the distinctions between ionic and covalent bonding, thus enhancing the students' chance of success in the organic chemistry course that traditionally follows general chemistry. Finally, the authors made a conscious effort to treat material that has traditionally been relegated to boxes, and thus perhaps perceived as peripheral by the students, by incorporating it into the text to serve as a learning tool.
Introductory Chemistry - 1st
(BCcampus, 2014) Ball, David W.; Key, Jessie A.
The goal of this textbook is not to make you an expert. True expertise in any field is a years-long endeavor. Here I will survey some of the basic topics of chemistry. This survey should give you enough knowledge to appreciate the impact of chemistry in everyday life and, if necessary, prepare you for additional instruction in chemistry.
Investigations in Experimental Physics - Tenth Edition
(Springfield College, 2025) Polito, Peter J.; Walsh, James E.; Gagnon, Jeff L.
As stated in previous editions, the purpose of the physics laboratory is not only to reinforce the physical principles studied in the classroom but also to stimulate the development of skills and techniques required to carry out well-designed experimental investigations. It is the hope of the authors that the experimental skills and techniques acquired in this laboratory will be carried over by the student to their respective areas of interest. It is, in fact, strongly suggested that the student make an effort early in their undergraduate career to become familiar with the current research problems in their area of interest. The student should always be aware of the applicability of skills and techniques developed in this laboratory to their field of study. This manual can be used in a one semester or two semester course. At our institution, we use it in a two semester General Physics course designed primarily for health science majors (Physical Therapy, Biology, Physician Assistant, etc.). It it also used in a one semester Physics for Movement Science course designed for movement science majors (Exercise Science, Athletic Training, Physical Education, etc.). The tenth edition of the manual is a major revision of the ninth edition. Nearly all of the diagrams were updated, pictures of the lab equipment were included for every lab, and more tables were added to record data for each lab. Six new labs on Vector Addition and Subtraction with Applications, Graphical Interpretation, Motion Analysis, Applications of Rotational Equilibrium, Impulse-Momentum Vertical Jump Application, and Basic Exploration of Electric Fields Due to Point Charges were added. In addition, three older labs that we no longer have equipment to perform were removed (Hygrometry, Measurement of the Speed of Sound in Air by Kundt’s Method, and Spectrometry). Many of the other labs were also updated and supplemented by adding a simulation component using the Phet online simulations. The student is required to read and understand the entire laboratory experiment before their assigned laboratory period. Although the theoretical treatment included in the following experiments is in most cases sufficient for the student to develop a complete understanding of the physical principles involved in the experiment, it is strongly recommended that the student refer to their textbook for a more thorough discussion of these principles, if necessary.
Laboratory Manual: General Chemistry I Honors
(2023) Adeyiga, Adedoyin M.
General Chemistry I Honors Laboratory Manual (2023) is an eTextbook designed to provide a practical, hands-on approach to learning chemistry for students taking General Chemistry I Honors courses. The manual covers fundamental principles of chemistry, including atomic structure, chemical bonding, stoichiometry, gas laws, and thermodynamics. The book is divided into chapters, each focusing on a specific topic. Each experiment in the manual is accompanied by step-by-step instructions, pre-lab questions, and post-lab questions, helping students to develop their analytical and problem-solving skills.
Mathematics for Biomedical Physics
(Wayne State University Library System, 2022) Wadehra, Jogindra M.
Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine

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