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CHEM 342: Physical Chemistry II
Kathryn Davis · Manchester University
Principles of chemical thermodynamics and statistical thermodynamics, with application to pure substances and mixtures. It also applies the principles of chemical kinetics and dynamic equilibrium theory to a variety of chemical applications, including electrochemistry and spectroscopy.
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Quantitative NMR
Cynthia K. Larive & Albert K. Korir · University of California, Riverside & Drury University
Quantitative nuclear magnetic resonance (Q-NMR) measurements are especially useful for analysis of complex samples where high specificity is needed or when a pure standard of the analyte is not available. This text provides a brief overview of basic NMR theory, a tutorial discussing the practical aspects of Q-NMR, a virtual experiment utilizing an NMR simulator, an exercise that makes use of real NMR data you can download and analyze, and a Q-NMR lab experiments.
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Plant Breeding Methods
Walter R. Fehr and Walter P. Suza · Iowa State University
This text has been compiled to provide an overview of how plant breeders develop cultivars of plant species. The methods that breeders use depend directly on the type of cultivar used to produce a commercial crop. he four most common types of cultivars are (a) clonal cultivars (b) synthetic cultivars (c) pure-line cultivars and (d) hybrid cultivars. These types of cultivars will be discussed throughout the book, alongside review questions for self-study.
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Principles of Cultivar Development (Fehr and Suza)
Walter R. Fehr and Walter P. Suza · Iowa State University
Có trong mục lục: 1.05: Pure-Line Cultivars
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Principles of Cultivar Development
Walter Fehr; Walter Suza · Iowa State University Digital Press · 2025
Principles of Cultivar Development is intended to help you learn how to be a successful manager of a cultivar development program. In this text, you will apply the principles learned in Plant Breeding Methods to design a breeding program that makes effective use of available resources and alternative breeding strategies. By the end of this volume, readers will be able to describe the process for developing clonal, pure-line, hybrid, and synthetic cultivars. Each chapter includes additional readings and examples of how breeders have implemented the concepts in their breeding programs.
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Plant Breeding Methods
Walter Fehr; Walter Suza · Iowa State University Digital Press · 2024
This text has been compiled to provide an overview of how plant breeders develop cultivars of plant species. The methods that breeders use depend directly on the type of cultivar used to produce a commercial crop. The four most common types of cultivars are (a) clonal cultivars (b) synthetic cultivars (c) pure-line cultivars and (d) hybrid cultivars. These types of cultivars will be discussed throughout the book, alongside review questions for self-study.
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Threshold Concepts in Biochemistry
Julian Pakay; Hendrika Duivenvoorden; Thomas Shafee; Kaitlin Clarke · La Trobe University · 2023
Biochemistry (and Molecular Biology) represent one of the fastest-growing fields of scientific research and technical innovation and the resulting biotechnology is increasingly applied to other fields of study. So, an understanding of Biochemistry is increasingly important for students in all biological disciplines. However, at the same time, the content is inherently complex, highly abstract, and often deeply rooted in the pure sciences – mathematics, chemistry, and physics. This makes it difficult to both learn and to teach. This book is designed as a succinct and focused resource, specifically aimed to help students grasp key threshold concepts in Biochemistry. Due to their troublesome nature, understanding threshold concepts is a cognitively demanding task. By using a series of thematically linked case studies that accompany theory, the cognitive load will be reduced. This will free up students to focus on learning concepts rather than distracting them with unnecessary specifics.
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Tea Time Linear Algebra Explorations in Mathematics
Leon Brin · Leon Q. Brin · 2022
This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces. 386 pages Over 1000 exercises with over 200 detailed solutions and hundreds more answers Over 250 illustrations Nearly 150 live SageMathCell links Open source Now with online homework and course management at MyOpenMath! Presented in a conversational style with plenty of motivation, illustrations, applications, and theory, this text should be a comfortable read for most beginning mathematicians. Readers and instructors alike will appreciate the numerous detailed exercise solutions accompanying each section. Examine the distribution of bicycles in the Capital Bikeshare system, model an un-preheated oven baking brownies, reproduce sounds via Fourier series, explore reptiles like the one decorating this cover, and more. Read proofs of the rank and nullity theorem, the determinant expansion formula, existence and uniqueness of solutions of linear systems and others. It's all here in Tea Time Linear Algebra.
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Transition to Higher Mathematics: Structure and Proof
Bob Dumas; John McCarthy · Open Scholarship · 2015
This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.
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Elementary Abstract Algebra: Examples and Applications
Justin Hill; Chris Thron · Justin Hill and Chris Thron · 2019
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.
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Precalculus
David Collingwood; K. Prince; Matthew Conroy · A.T. Still University · 2016
Prior to 1990, the performance of a student in precalculus at the University of Washington was not a predictor of success in calculus. For this reason, the mathematics department set out to create a new course with a specific set of goals in mind: A review of the essential mathematics needed to succeed in calculus. An emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical tools. This text was created to achieve these goals and the 2004-05 academic year marks the eleventh year in which it has been used. Several thousand students have successfully passed through the course. This book is full of worked out examples. We use the the notation “Soluion.” to indicate where the reasoning for a problem begins; the symbol ?? is used to indicate the end of the solution to a problem. There is a Table of Contents that is useful in helping you find a topic treated earlier in the course. It is also a good rough outline when it comes time to study for the final examination. The book also includes an index at the end. Finally, there is an appendix at the end of the text with ”answers” to most of the problems in the text. It should be emphasized these are ”answers” as opposed to ”solutions”. Any homework problems you may be asked to turn in will require you include all your work; in other words, a detailed solution. Simply writing down the answer from the back of the text would never be sufficient; the answers are intended to be a guide to help insure you are on the right track.
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Multivariable Calculus
Don Shimamoto · Don Shimamoto · 2019
This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.
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Introduction to Financial Mathematics Concepts and Computational Methods
Arash Fahim · Florida State University · 2019
Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.
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Mathematical Analysis I
Elias Zakon · The Trillia Group · 2004
This award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. For students who need a review of basic mathematical concepts before beginning "epsilon-delta"-style proofs, the text begins with material on set theory (sets, quantifiers, relations and mappings, countable sets), the real numbers (axioms, natural numbers, induction, consequences of the completeness axiom), and Euclidean and vector spaces; this material is condensed from the author's Basic Concepts of Mathematics, the complete version of which can be used as supplementary background material for the present text.
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Teaching Mathematics at Secondary Level
Tony Gardiner · Open Book Publishers · 2016
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.
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The Essence of Mathematics Through Elementary Problems
Alexandre Borovik; Tony Gardiner · Open Book Publishers · 2019
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.
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Fundamentals of Matrix Algebra
Gregory Hartman · APEX Calculus · 2011
A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations. Numerous examples are given within the easy to read text. This third edition corrects several errors in the text and updates the font faces.
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APEX PreCalculus
Amy Chapman; Meagan Herald; Jessica Libertini · APEX Calculus · 2017
This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is designed to review mathematical concepts that are often stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each section and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Institute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text. This allows for a more focused approach; at first glance one of the obvious differences from a standard Pre-Calculus text is its size.
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Open Resources for Community College Algebra
Portland Community College Faculty · Portland Community College · 2018
Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.
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College Algebra & Trigonometry
Richard Beveridge · Richard W. Beveridge · 2018
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.