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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
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.
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.
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.
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
Mathematics for Elementary Teachers
(University of Hawaii Manoa, 2017) Manes, Michelle
This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations. The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will: • Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more. • Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete). • Construct viable arguments and critique the reasoning of others. You will be expected to create both written and verbal explanations for your solutions to problems. The most important questions in this class are “Why?” and “How do you know you're right?” Practice asking these questions of yourself, of your professor, and of your fellow students. Throughout the book, you will learn how to learn mathematics on you own by reading, working on problems, and making sense of new ideas on your own and in collaboration with other students in the class.
Teaching Mathematics at Secondary Level
(Open Book Publishers, 2016) Gardiner, Tony
Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Technical Mathematics - 2nd Edition
(Open Oregon Educational Resources, 2024) Chase, Morgan
This developmental-level mathematics textbook is intended for career-technical students. It is FREE online and costs $17.35 in print plus shipping; don't get tricked into paying for access! The approach is conversational—inviting rather than intimidating—and many of the examples are drawn from everyday life rather than from the technical trades.
The Adventure of Physics - Vol. I: Fall, Flow, and Heat
(Motion Mountain, 1990) Schiller, Christoph
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the best of them in the domain of everyday life. Carefully observing everyday motion allows us to deduce six essential statements: everyday motion is continuous, conserved, relative, reversible, mirror-invariant – and lazy. Yes, nature is indeed lazy: in every motion, it minimizes change. This text explores how these six results are deduced and how they fit with all those observations that seem to contradict them. In the structure of modern physics, shown in Figure 1, the results on everyday motion form the major part of the starting point at the bottom. The present volume is the first of a six-volume overview of physics. It resulted from a threefold aim I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed.
The Adventure of Physics - Vol. II: Relativity
(Motion Mountain, 1990) Schiller, Christoph
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adven- tures. This volume presents the best of them in the domains of relativity and cosmology. In the study of motion – physics – special and general relativity form two important building blocks. Special relativity is the exploration of the energy speed limit c. General relativity is the exploration of the force limit c4/4G. The text shows that in both domains, all equations follow from these two limit values. This simple, intuitive and unusual way of learning relativity should reward the curiosity of every reader – whether student or professional. The present volume is the second of a six-volume overview of physics that arose from a threefold aim that I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them.
The Adventure of Physics - Vol. III: Light, Charges, and Brains
(Motion Mountain, 1990) Schiller, Christoph
This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the adventures one encounters when exploring everything electric. The story ranges from the weighing of electric current to the use of magnetic fields to heal bone fractures and up to the understanding of the human brain. In the structure of physics, shown in Figure 1, motion due to electricity is the most fascinating aspect of the starting point at the bottom. Indeed, almost everything around us is due to electric processes. The present introduction to electricity, magnetism, light and the brain is the third of a six-volume overview of physics that arose from a threefold aim that I have pursued since 1990: to present motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them.
The Adventure of Physics - Vol. IV: The Quantum of Change
(Motion Mountain, 1990) Schiller, Christoph
This book is written for anybody who is curious about nature and motion. Have you ever asked: Why do people, animals, things, images and space move? The answer leads to many adventures; this volume presents those due to the discovery that there is a smallest change value in nature. This smallest change value, the quantum of action, leads to what is called quantum physics. In the structure of modern physics, quantum physics covers three points; this volume covers the introduction to the point in the lower right: the foundations of quantum theory. The present introduction to quantum physics arose from a threefold aim I have pursued since 1990: to present the basics of motion in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clarifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them.
The Adventure of Physics - Vol. V: Motion Inside Matter - Pleasure, Technology, and Stars
(Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International, 1990) Schiller, Christoph
This book is written for anybody who is curious about nature and motion. Curiosity about how bodies, images and empty space move leads to many adventures. This volume presents the best adventures about the motion inside people, inside animals, and inside any other type of matter – from the largest stars to the smallest nuclei. Motion inside bodies – dead or alive – is described by quantum theory. Quantum theory describes all motion with the quantum of action h, the smallest change observed in nature. Building on this basic idea, the text first shows how to describe life, death and pleasure. Then, the text explains the observations of chemistry, materials science, astrophysics and particle physics. In the structure of physics, these topics correspond to the three ‘quantum' points in Figure 1. The story of motion inside living and non-living matter, from the coldest gases to the hottest stars, is told here in a way that is simple, up to date and captivating. In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate. In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature. In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one sur- prise that makes the reader think. Also numerous interesting challenges are proposed. The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.' Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them.

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