The Definitive Guide To Learning Higher Mathematics
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The Definitive Guide To Learning Higher Mathematics
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Author : Math Vault
language : en
Publisher: Math Vault Publishing
Release Date : 2018-11-01
The Definitive Guide To Learning Higher Mathematics written by Math Vault and has been published by Math Vault Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-01 with Mathematics categories.
The Definitive Guide to Learning Higher Mathematics is a comprehensive, illustrated guide to help you optimize higher mathematical learning, thinking and problem solving through 10 foundational principles and countless actionable tips. In 10 chapters and 86 pages, it’ll take you around the different aspects of higher mathematical learning, leaving no stone unturned from material selection, big picture thinking, proximal zone, cognitive techniques to proactive learning, head-processing, scientific method and social learning. Hightlights - Extensive actionable tips to illustrate each principle involved - Extensive annotations, pro-tips, quotes and illustrations for better insight - Carefully prepared after-chapter summaries for better understanding - Printable PDF format (8.5 in. x 11 in.) with linkable table of contents and index for handy reference and reviewing Table of Contents 0. Preface 1. Choose Your Materials Judiciously 2. Always Keep the Big Picture in Mind 3. Operate within the Proximal Zone 4. Isolate Until Mastered Before Moving On 5. Be a Proactive, Independent Thinker and Learner 6. Do Most Things Inside Your Head 7. Practice the Scientific Method in a Creative Way 8. Don’t Fret Too Much About Real-life Applicability 9. Scale Up Learning by Going Social 10. Embrace the Mathematical Experience 11. Last Few Words 12. Index
Comprehensive List Of Mathematical Symbols
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Author : Math Vault
language : en
Publisher: Math Vault Publishing
Release Date : 2020-06-13
Comprehensive List Of Mathematical Symbols written by Math Vault and has been published by Math Vault Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-13 with Mathematics categories.
Ever wonder if there's a reference guide out there summarizing most of the symbols used in mathematics, along with contextual examples and LaTeX code so that you can pick up the various topics of mathematics at an unusual speed? Well now there is! In this jam-packed 75-page eBook, the Comprehensive List of Mathematical Symbols will take you through thousands of symbols in 10+ topics and 6 main categories. Each symbol also comes with their own defining examples, LaTeX codes and links to additional resources, making the eBook both a handy reference and a powerful tool for consolidating one's foundation of mathematics. Highlights - Featuring 1000+ of symbols from basic math, algebra, logic, set theory to calculus, analysis, probability and statistics - Comes with LaTeX code, defining contextual examples and links to additional resources - Clear. Concise. Straight-to-the-point with no fluff. - Informative. Engaging. Excellent for shortening the learning/reviewing curve. Table of Contents 1) Constants Key Mathematical Numbers Key Mathematical Sets Key Mathematical Infinities Other Key Mathematical Objects 2) Variables Variables for Numbers Variables in Geometry Variables in Logic Variables in Set Theory Variables in Linear/Abstract Algebra Variables in Probability and Statistics Variables in Calculus 3) Delimiters Common Delimiters Other Delimiters 4) Alphabet Letters Greek Letters Used in Mathematics Other Greek Letters 5) Operators Common Operators Number-related Operators Common Number-based Operators Complex-number-based Operators Function-related Operators Common Function-based Operators Elementary Functions Key Calculus-related Functions and Transforms Other Key Functions Operators in Geometry Operators in Logic Logical Connectives Quantifiers Substitution/Valuation-based Operators Set-related Operators Operators in Algebra Vector-related Operators Matrix-related Operators Vector-space-related Operators Abstract-algebra-related Operators Operators in Probability and Statistics Combinatorial Operators Probability-related Operators Probability-related Functions Discrete Probability Distributions Continuous Probability Distributions and Associated Functions Statistical Operators Operators in Calculus Operators Related to Sequence, Series and Limit Derivative-based Operators Integral-based Operators 6) Relational Symbols Equality-based Relational Symbols Comparison-based Relational Symbols Number-related Relational Symbols Relational Symbols in Geometry Relational Symbols in Logic Set-related Relational Symbols Relational Symbols in Abstract Algebra Relational Symbols in Probability and Statistics Relational Symbols in Calculus 7) Notational Symbols Common Notational Symbols Intervals Notational Symbols in Geometry and Trigonometry Notational Symbols in Probability and Statistics Notational Symbols in Calculus
Introduction To Advanced Mathematics A Guide To Understanding Proofs
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Author : Connie M. Campbell
language : en
Publisher: Cengage Learning
Release Date : 2011-01-01
Introduction To Advanced Mathematics A Guide To Understanding Proofs written by Connie M. Campbell and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
The Scholarship Of Teaching And Learning
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Author : Jacqueline M. Dewar
language : en
Publisher: Oxford University Press
Release Date : 2018
The Scholarship Of Teaching And Learning written by Jacqueline M. Dewar and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Political Science categories.
The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians shows college and university faculty members how to draw on their disciplinary knowledge and teaching experience to investigate questions about student learning. It takes readers all the way through the inquiry process beginning with framing a research question and selecting a research design, moving on to gathering and analyzing evidence, and finally to making the results public. Numerous examples are provided at each stage, many from published studies of teaching and learning in science, engineering, or mathematics. At strategic points, short sets of questions prompt readers to pause and reflect, plan, or act. These questions are derived from the authors' experience leading many workshops in the United States and Canada on how to do the scholarship of teaching and learning (SoTL). The taxonomy of SoTL questions-What works? What is? What could be?-that emerged from the SoTL studies undertaken by scholars in the Carnegie Academic for the Scholarship of Teaching and Learning serves as a framework at many stages of the inquiry process. The book addresses the issue of evaluating and valuing this work, including implications for junior faculty who wish to engage in SoTL. The authors explain why SoTL should be of interest to STEM (science, technology, engineering, and mathematics) faculty at all types of higher education institutions, including faculty members active in traditional STEM research. They also give their perspective on the benefits of SoTL to faculty, to their institutions, to the academy, and to students.
Mathematics For Machine Learning
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Author : Marc Peter Deisenroth
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-23
Mathematics For Machine Learning written by Marc Peter Deisenroth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Computers categories.
Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning.
A Level Mathematics Complete Guide Yellowreef
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Author : Thomas Bond
language : en
Publisher: Yellowreef Limited
Release Date : 2016-07-20
A Level Mathematics Complete Guide Yellowreef written by Thomas Bond and has been published by Yellowreef Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-20 with Education categories.
• according to syllabus for exam up to year 2017 • provides the expert guide to lead one through this highly demanding knowledge requirement • exposes “surprise and trick” questions • provides teachers’ comments revealing common mistakes & wrong habits • first to implement data-mining to improve learning efficiency • advanced trade book with data-mining and teachers’ comments • buy print edition online at www.yellowreef.com to enjoy attractive discounts • complete eBook edition and concise eBook edition available • also suitable for • Cambridge GCE AL (H1/H2) • Cambridge International AL • Cambridge Pre-University • Books available for other subjects including Physics, Chemistry, Biology, Mathematics, Economics, English • Primary level, Secondary level, GCE O-level, GCE A-level, iGCSE, Cambridge A-level, Hong Kong DSE • Concise eBooks are tailored for quick revision, whereas Complete eBooks are for detailed studies • visit www.yellowreef.com for sample chapters and more
Teaching And Learning Mathematics Online
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Author : James P. Howard, II
language : en
Publisher: CRC Press
Release Date : 2020-05-10
Teaching And Learning Mathematics Online written by James P. Howard, II and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-10 with Mathematics categories.
Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses
Foundations Of Higher Mathematics
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Author : Stella Fletcher
language : en
Publisher:
Release Date : 1992
Foundations Of Higher Mathematics written by Stella Fletcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Prepping For Pure Mathematics
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Author : Steve Warner
language : en
Publisher:
Release Date : 2020-07-07
Prepping For Pure Mathematics written by Steve Warner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-07 with categories.
Transition To Advanced Mathematics
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Author : Danilo R. Diedrichs
language : en
Publisher: CRC Press
Release Date : 2022-05-22
Transition To Advanced Mathematics written by Danilo R. Diedrichs and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-22 with Mathematics categories.
This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics. The authors implement the practice recommended by the Committee on the Undergraduate Program in Mathematics (CUPM) curriculum guide, that a modern mathematics program should include cognitive goals and offer a broad perspective of the discipline. Part I offers: An introduction to logic and set theory. Proof methods as a vehicle leading to topics useful for analysis, topology, algebra, and probability. Many illustrated examples, often drawing on what students already know, that minimize conversation about "doing proofs." An appendix that provides an annotated rubric with feedback codes for assessing proof writing. Part II presents the context and culture aspects of the transition experience, including: 21st century mathematics, including the current mathematical culture, vocations, and careers. History and philosophical issues in mathematics. Approaching, reading, and learning from journal articles and other primary sources. Mathematical writing and typesetting in LaTeX. Together, these Parts provide a complete introduction to modern mathematics, both in content and practice. Table of Contents Part I - Introduction to Proofs Logic and Sets Arguments and Proofs Functions Properties of the Integers Counting and Combinatorial Arguments Relations Part II - Culture, History, Reading, and Writing Mathematical Culture, Vocation, and Careers History and Philosophy of Mathematics Reading and Researching Mathematics Writing and Presenting Mathematics Appendix A. Rubric for Assessing Proofs Appendix B. Index of Theorems and Definitions from Calculus and Linear Algebra Bibliography Index Biographies Danilo R. Diedrichs is an Associate Professor of Mathematics at Wheaton College in Illinois. Raised and educated in Switzerland, he holds a PhD in applied mathematical and computational sciences from the University of Iowa, as well as a master’s degree in civil engineering from the Ecole Polytechnique Fédérale in Lausanne, Switzerland. His research interests are in dynamical systems modeling applied to biology, ecology, and epidemiology. Stephen Lovett is a Professor of Mathematics at Wheaton College in Illinois. He holds a PhD in representation theory from Northeastern University. His other books include Abstract Algebra: Structures and Applications (2015), Differential Geometry of Curves and Surfaces, with Tom Banchoff (2016), and Differential Geometry of Manifolds (2019).