| college math classes ranked by difficulty: Topology I S.P. Novikov, 2013-06-29 This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research. |
| college math classes ranked by difficulty: Introduction to Probability David F. Anderson, Timo Seppäläinen, Benedek Valkó, 2017-11-02 This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work. |
| college math classes ranked by difficulty: Communities in Action National Academies of Sciences, Engineering, and Medicine, Health and Medicine Division, Board on Population Health and Public Health Practice, Committee on Community-Based Solutions to Promote Health Equity in the United States, 2017-04-27 In the United States, some populations suffer from far greater disparities in health than others. Those disparities are caused not only by fundamental differences in health status across segments of the population, but also because of inequities in factors that impact health status, so-called determinants of health. Only part of an individual's health status depends on his or her behavior and choice; community-wide problems like poverty, unemployment, poor education, inadequate housing, poor public transportation, interpersonal violence, and decaying neighborhoods also contribute to health inequities, as well as the historic and ongoing interplay of structures, policies, and norms that shape lives. When these factors are not optimal in a community, it does not mean they are intractable: such inequities can be mitigated by social policies that can shape health in powerful ways. Communities in Action: Pathways to Health Equity seeks to delineate the causes of and the solutions to health inequities in the United States. This report focuses on what communities can do to promote health equity, what actions are needed by the many and varied stakeholders that are part of communities or support them, as well as the root causes and structural barriers that need to be overcome. |
| college math classes ranked by difficulty: Advanced Calculus (Revised Edition) Lynn Harold Loomis, Shlomo Zvi Sternberg, 2014-02-26 An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds. |
| college math classes ranked by difficulty: Calculus Howard Anton, Irl C. Bivens, Stephen Davis, 2021-12-03 In Calculus: Multivariable, 12th Edition, an expert team of mathematicians delivers a rigorous and intuitive exploration of calculus, introducing concepts like derivatives and integrals of multivariable functions. Using the Rule of Four, the authors present mathematical concepts from verbal, algebraic, visual, and numerical points of view. The book includes numerous exercises, applications, and examples that help readers learn and retain the concepts discussed within. |
| college math classes ranked by difficulty: Introduction to Probability Joseph K. Blitzstein, Jessica Hwang, 2014-07-24 Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment. |
| college math classes ranked by difficulty: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
| college math classes ranked by difficulty: Fifty Challenging Problems in Probability with Solutions Frederick Mosteller, 2012-04-26 Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions. |
| college math classes ranked by difficulty: Social Science Research Anol Bhattacherjee, 2012-04-01 This book is designed to introduce doctoral and graduate students to the process of conducting scientific research in the social sciences, business, education, public health, and related disciplines. It is a one-stop, comprehensive, and compact source for foundational concepts in behavioral research, and can serve as a stand-alone text or as a supplement to research readings in any doctoral seminar or research methods class. This book is currently used as a research text at universities on six continents and will shortly be available in nine different languages. |
| college math classes ranked by difficulty: Classical Electromagnetic Radiation Mark A. Heald, Jerry B. Marion, 2012-12-19 Newly corrected, this highly acclaimed text is suitable foradvanced physics courses. The authors present a very accessiblemacroscopic view of classical electromagnetics thatemphasizes integrating electromagnetic theory with physicaloptics. The survey follows the historical development ofphysics, culminating in the use of four-vector relativity tofully integrate electricity with magnetism.Corrected and emended reprint of the Brooks/Cole ThomsonLearning, 1994, third edition. |
| college math classes ranked by difficulty: Starting Out Right National Research Council, Division of Behavioral and Social Sciences and Education, Board on Behavioral, Cognitive, and Sensory Sciences, Committee on the Prevention of Reading Difficulties in Young Children, 1999-12-28 A devastatingly large number of people in America cannot read as well as they need for success in life. With literacy problems plaguing as many as four in ten children in America, this book discusses how best to help children succeed in reading. This book identifies the most important questions and explores the authoritative answers on the topic of how children can grow into readers, including: What are the key elements all children need in order to become good readers? What can parents and caregivers provide all children so that they are prepared for reading instruction by the time that they get to school? What concepts about language and literacy should be included in beginning reading instruction? How can we prevent reading difficulties starting with infants and into the early grades? What to ask school boards, principals, elected officials, and other policy makers who make decisions regarding early reading instruction. You'll find out how to help youngsters build word recognition, avoid comprehension problems, and moreâ€with checklists of specific accomplishments to be expected at different ages: for very young children, for kindergarten students, and for first, second, and third grade students. Included are 55 activities to do with children to help them become successful readers, a list of recommended children's books, and a guide to CD-ROMs and websites. Great strides have been made recently toward identifying the best ways to teach children to read. Starting Out Right provides a wealth of knowledge based on a summary of extensive research. It is a must read for specialists in primary education as well as parents, pediatricians, child care providers, tutors, literacy advocates, policy makers, and teachers. |
| college math classes ranked by difficulty: The College Solution Lynn O'Shaughnessy, 2008-06-06 “The College Solution helps readers look beyond over-hyped admission rankings to discover schools that offer a quality education at affordable prices. Taking the guesswork out of saving and finding money for college, this is a practical and insightful must-have guide for every parent!” —Jaye J. Fenderson, Seventeen’s College Columnist and Author, Seventeen’s Guide to Getting into College “This book is a must read in an era of rising tuition and falling admission rates. O’Shaughnessy offers good advice with blessed clarity and brevity.” —Jay Mathews, Washington Post Education Writer and Columnist “I would recommend any parent of a college-bound student read The College Solution.” —Kal Chany, Author, The Princeton Review’s Paying for College Without Going Broke “The College Solution goes beyond other guidebooks in providing an abundance of information about how to afford college, in addition to how to approach the selection process by putting the student first.” —Martha “Marty” O’Connell, Executive Director, Colleges That Change Lives “Lynn O’Shaughnessy always focuses on what’s in the consumer’s best interest, telling families how to save money and avoid making costly mistakes.” —Mark Kantrowitz, Publisher, FinAid.org and Author, FastWeb College Gold “An antidote to the hype and hysteria about getting in and paying for college! O’Shaughnessy has produced an excellent overview that demystifies the college planning process for students and families.” —Barmak Nassirian, American Association of Collegiate Registrars and Admissions Officers For millions of families, the college planning experience has become extremely stressful. And, unless your child is an elite student in the academic top 1%, most books on the subject won’t help you. Now, however, there’s a college guide for everyone. In The College Solution, top personal finance journalist Lynn O’Shaughnessy presents an easy-to-use roadmap to finding the right college program (not just the most hyped) and dramatically reducing the cost of college, too. Forget the rankings! Discover what really matters: the quality and value of the programs your child wants and deserves. O’Shaughnessy uncovers “industry secrets” on how colleges actually parcel out financial aid—and how even “average” students can maximize their share. Learn how to send your kids to expensive private schools for virtually the cost of an in-state public college...and how promising students can pay significantly less than the “sticker price” even at the best state universities. No other book offers this much practical guidance on choosing a college...and no other book will save you as much money! • Secrets your school’s guidance counselor doesn’t know yet The surprising ways colleges have changed how they do business • Get every dime of financial aid that’s out there for you Be a “fly on the wall” inside the college financial aid office • U.S. News & World Report: clueless about your child Beyond one-size-fits-all rankings: finding the right program for your teenager • The best bargains in higher education Overlooked academic choices that just might be perfect for you |
| college math classes ranked by difficulty: Calculus On Manifolds Michael Spivak, 1971-01-22 This little book is especially concerned with those portions of ”advanced calculus” in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential. |
| college math classes ranked by difficulty: The Number Sense Stanislas Dehaene, 2011-04-29 Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind--Provided by publisher. |
| college math classes ranked by difficulty: Algebra II A.I. Kostrikin, I.R. Shafarevich, 2012-12-06 The algebra of square matrices of size n ~ 2 over the field of complex numbers is, evidently, the best-known example of a non-commutative alge 1 bra • Subalgebras and subrings of this algebra (for example, the ring of n x n matrices with integral entries) arise naturally in many areas of mathemat ics. Historically however, the study of matrix algebras was preceded by the discovery of quatemions which, introduced in 1843 by Hamilton, found ap plications in the classical mechanics of the past century. Later it turned out that quaternion analysis had important applications in field theory. The al gebra of quaternions has become one of the classical mathematical objects; it is used, for instance, in algebra, geometry and topology. We will briefly focus on other examples of non-commutative rings and algebras which arise naturally in mathematics and in mathematical physics. The exterior algebra (or Grassmann algebra) is widely used in differential geometry - for example, in geometric theory of integration. Clifford algebras, which include exterior algebras as a special case, have applications in rep resentation theory and in algebraic topology. The Weyl algebra (Le. algebra of differential operators with· polynomial coefficients) often appears in the representation theory of Lie algebras. In recent years modules over the Weyl algebra and sheaves of such modules became the foundation of the so-called microlocal analysis. The theory of operator algebras (Le. |
| college math classes ranked by difficulty: Introductory Statistics 2e Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
| college math classes ranked by difficulty: Introduction To Commutative Algebra Michael F. Atiyah, I.G. MacDonald, 2018-03-09 First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization. |
| college math classes ranked by difficulty: Analytic Combinatorics Philippe Flajolet, Robert Sedgewick, 2009-01-15 Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study. |
| college math classes ranked by difficulty: Analysis On Manifolds James R. Munkres, 2018-02-19 A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts. |
| college math classes ranked by difficulty: Notes on Diffy Qs Jiri Lebl, 2019-11-13 Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions. |
| college math classes ranked by difficulty: Introduction to Linear Algebra Gilbert Strang, 2016-08-11 Linear algebra is something all mathematics undergraduates and many other students, in subjects ranging from engineering to economics, have to learn. The fifth edition of this hugely successful textbook retains all the qualities of earlier editions, while at the same time seeing numerous minor improvements and major additions. The latter include: • A new chapter on singular values and singular vectors, including ways to analyze a matrix of data • A revised chapter on computing in linear algebra, with professional-level algorithms and code that can be downloaded for a variety of languages • A new section on linear algebra and cryptography • A new chapter on linear algebra in probability and statistics. A dedicated and active website also offers solutions to exercises as well as new exercises from many different sources (including practice problems, exams, and development of textbook examples), plus codes in MATLAB®, Julia, and Python. |
| college math classes ranked by difficulty: Concrete Mathematics Ronald L. Graham, Donald E. Knuth, Oren Patashnik, 1994-02-28 This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. More concretely, the authors explain, it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems. The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them. |
| college math classes ranked by difficulty: 81 Fresh & Fun Critical-thinking Activities Laurie Rozakis, 1998 Help children of all learning styles and strengths improve their critical thinking skills with these creative, cross-curricular activities. Each engaging activity focuses on skills such as recognizing and recalling, evaluating, and analyzing. |
| college math classes ranked by difficulty: So Much Data So Little Math William D. May, 2000 So Much Data So Little Math is geared for the business community and for employees who are trying to interpret statistics without a background in formal mathematics. The book, relying on the availability of modern software rather than on the reader's math skills, puts trend analysis within reach of everyone. Through a simple method centering on case studies of ordinary business owners, May provides a simple way to learn how to model data. This highly practical text teaches five methods of modeling: regression, correlation, spreadsheets, database systems and neural networks. A must-read for any successful entrepreneur, So Much Data So Little Math will also be of great interest to researchers, business students and their instructors. |
| college math classes ranked by difficulty: Introduction to the Theory of Statistical Inference Hannelore Liero, Silvelyn Zwanzig, 2016-04-19 Based on the authors' lecture notes, this text presents concise yet complete coverage of statistical inference theory, focusing on the fundamental classical principles. Unlike related textbooks, it combines the theoretical basis of statistical inference with a useful applied toolbox that includes linear models. Suitable for a second semester undergraduate course on statistical inference, the text offers proofs to support the mathematics and does not require any use of measure theory. It illustrates core concepts using cartoons and provides solutions to all examples and problems. |
| college math classes ranked by difficulty: Conceptual Programming with Python Thorsten Altenkirch, Isaac Triguero, 2019 Thorsten and Isaac have written this book based on a programming course we teach for Master's Students at the School of Computer Science of the University of Nottingham. The book is intended for students with little or no background in programming coming from different backgrounds educationally as well as culturally. It is not mainly a Python course but we use Python as a vehicle to teach basic programming concepts. Hence, the words conceptual programming in the title. We cover basic concepts about data structures, imperative programming, recursion and backtracking, object-oriented programming, functional programming, game development and some basics of data science. |
| college math classes ranked by difficulty: Math Exchanges Kassia Omohundro Wedekind, 2011 Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous math exchanges. The key characteristics of these mathematical conversations are that they are: 1) short, focused sessions that bring all mathematical minds together, 2) responsive to the needs of the specific group of mathematicians, and 3) designed for meaningful, guided reflection. As in reading and writing workshop, students in math workshop become self-directed and independent while participating in a classroom community of learners. Through the math exchanges, students focus on number sense and the big ideas of mathematics. Teachers guide the conversations with small groups of students, mediating talk and thinking as students share problem-solving strategies, discuss how math works, and move toward more effective and efficient approaches and greater mathematical understanding. Although grounded in theory and research, Math Exchanges: Guiding Young Mathematicians in Small Group Meetings is written for practicing teachers and answers such questions as the following: How can I use a math workshop approach and follow a certain textbook or set of standards? How should I form small groups? How often should I meet with small groups? What should I focus on in small groups? How can I tell if my groups are making progress? What do small-group math exchanges look like, sound like, and feel like? |
| college math classes ranked by difficulty: A Mathematician's Survival Guide Steven George Krantz, 2003 When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions which will affect the rest of your career. This book is a detailed guide to help you navigate graduate school and the years that follow. -- Publisher description. |
| college math classes ranked by difficulty: Conjecture and Proof Miklos Laczkovich, 2001-12-31 The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader. |
| college math classes ranked by difficulty: How to Prove It Daniel J. Velleman, 2006-01-16 Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians. |
| college math classes ranked by difficulty: Linear Algebra Done Right Sheldon Axler, 1997-07-18 This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text. |
| college math classes ranked by difficulty: Ask a Manager Alison Green, 2018-05-01 'I'm a HUGE fan of Alison Green's Ask a Manager column. This book is even better' Robert Sutton, author of The No Asshole Rule and The Asshole Survival Guide 'Ask A Manager is the book I wish I'd had in my desk drawer when I was starting out (or even, let's be honest, fifteen years in)' - Sarah Knight, New York Times bestselling author of The Life-Changing Magic of Not Giving a F*ck A witty, practical guide to navigating 200 difficult professional conversations Ten years as a workplace advice columnist has taught Alison Green that people avoid awkward conversations in the office because they don't know what to say. Thankfully, Alison does. In this incredibly helpful book, she takes on the tough discussions you may need to have during your career. You'll learn what to say when: · colleagues push their work on you - then take credit for it · you accidentally trash-talk someone in an email and hit 'reply all' · you're being micromanaged - or not being managed at all · your boss seems unhappy with your work · you got too drunk at the Christmas party With sharp, sage advice and candid letters from real-life readers, Ask a Manager will help you successfully navigate the stormy seas of office life. |
| college math classes ranked by difficulty: Mathematics Inside the Black Box Dylan Wiliam, King's College (London, England). Dept. of Education and Professional Studies, 2006 |
| college math classes ranked by difficulty: The Calculus Gallery William Dunham, 2018-11-13 More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be. |
| college math classes ranked by difficulty: Field and Wave Electromagnetics David K. Cheng, 2013-07-23 Respected for its accuracy, its smooth and logical flow of ideas, and its clear presentation, 'Field and Wave Electromagnetics' has become an established textbook in the field of electromagnetics. This book builds the electromagnetic model using an axiomatic approach in steps: first for static electric fields, then for static magnetic fields, and finally for time-varying fields leading to Maxwell's equations. |
| college math classes ranked by difficulty: Mathematics Education and Language Diversity Richard Barwell, Philip Clarkson, Anjum Halai, Mercy Kazima, Judit Moschkovich, Núria Planas, Mamokgethi Setati-Phakeng, Paola Valero, Martha Villavicencio Ubillús, 2015-11-25 *THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity |
| college math classes ranked by difficulty: Lectures On Differential Geometry Weihuan Chen, Shiing-shen Chern, Kai S Lam, 1999-11-30 This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives. |
| college math classes ranked by difficulty: Foundations of Differentiable Manifolds and Lie Groups Frank W. Warner, 2013-11-11 Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. |
| college math classes ranked by difficulty: David and Goliath Malcolm Gladwell, 2013-10-03 Why do underdogs succeed so much more than we expect? How do the weak outsmart the strong? In David and Goliath Malcolm Gladwell, no.1 bestselling author of The Tipping Point, Blink, Outliers and What the Dog Saw, takes us on a scintillating and surprising journey through the hidden dynamics that shape the balance of power between the small and the mighty. From the conflicts in Northern Ireland, through the tactics of civil rights leaders and the problem of privilege, Gladwell demonstrates how we misunderstand the true meaning of advantage and disadvantage. When does a traumatic childhood work in someone's favour? How can a disability leave someone better off? And do you really want your child to go to the best school he or she can get into? David and Goliath draws on the stories of remarkable underdogs, history, science, psychology and on Malcolm Gladwell's unparalleled ability to make the connections others miss. It's a brilliant, illuminating book that overturns conventional thinking about power and advantage. 'A global phenomenon... there is, it seems, no subject over which he cannot scatter some magic dust' Observer |
| college math classes ranked by difficulty: Calculus Michael Spivak, 1980 |
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Nov 7, 2024 · Hamilton College Early Decision - Apply - Admission & Aid - Hamilton College. The Early Decision program is designed for students who have decided that Hamilton College is …
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Colleges & Universities University of North Carolina - Chapel Hill Chapel Hill, NC • 4-year Public • Acceptance Rate 19% University of Oklahoma Norman, OK • 4-year Public • Acceptance Rate …
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College Search & Lists transfer , help-me-decide , northwestern-university , vanderbilt-university 10
UC Santa Barbara Class of 2029 Waitlist and Appeal Discussion
Mar 5, 2025 · With Freshman decisions posting on March 18, I am starting a Waitlist/Appeal discussion. 2024 Waitlist Timeline: Admits on May 8, May 9, May 15, May 17, May 20, May …
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Applying to College Hispanic Students African-American Students Learning Differences and Challenges - LD, ADHD Veterans Common and Coalition Application Admission Stories Early …
College Confidential Forums - Admissions Discussions and Threads
Join conversations on college admissions, decisions, applications, ACT, SAT, paying for school, scholarships and much more!
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College Search & Selection There is some great information about schools with higher admit rates, but it’s often tucked into threads that are particular to a specific family’s situation. This …
Cornell University Waitlist Class of 2029 - College Confidential …
Apr 4, 2025 · My son got waitlisted from Cornell. The univ needs the mid-term transcripts before considering getting him off the list. But his high school does not have mid-term exams or any …
UC San Diego Class of 2029 Waitlist and Appeal Discussion
Mar 5, 2025 · Since Freshman decisions will be posting in the next few weeks for UC San Diego, I have started the Waitlist/Appeal Discussion thread. 2024 Waitlist Timeline: 2024: Friday May …
University of Michigan Class of 2029 Official RD Thread
Dec 29, 2024 · Originally, you had said “They only take 100 students to make their 500 students total.” My understanding is that they aim to have a freshman class of 500. The 100 cross …
College Decision Dates: The Official 2024-2025 CC Calendar
Nov 7, 2024 · Hamilton College Early Decision - Apply - Admission & Aid - Hamilton College. The Early Decision program is designed for students who have decided that Hamilton College is …
Latest Colleges & Universities topics - College Confidential Forums
Colleges & Universities University of North Carolina - Chapel Hill Chapel Hill, NC • 4-year Public • Acceptance Rate 19% University of Oklahoma Norman, OK • 4-year Public • Acceptance Rate …
Latest College Search & Lists topics - College Confidential Forums
College Search & Lists transfer , help-me-decide , northwestern-university , vanderbilt-university 10
UC Santa Barbara Class of 2029 Waitlist and Appeal Discussion
Mar 5, 2025 · With Freshman decisions posting on March 18, I am starting a Waitlist/Appeal discussion. 2024 Waitlist Timeline: Admits on May 8, May 9, May 15, May 17, May 20, May …
Latest Applying to College topics - College Confidential Forums
Applying to College Hispanic Students African-American Students Learning Differences and Challenges - LD, ADHD Veterans Common and Coalition Application Admission Stories Early …
College Confidential Forums - Admissions Discussions and Threads
Join conversations on college admissions, decisions, applications, ACT, SAT, paying for school, scholarships and much more!
Latest topics - College Confidential Forums
College Search & Selection There is some great information about schools with higher admit rates, but it’s often tucked into threads that are particular to a specific family’s situation. This …
Cornell University Waitlist Class of 2029 - College Confidential …
Apr 4, 2025 · My son got waitlisted from Cornell. The univ needs the mid-term transcripts before considering getting him off the list. But his high school does not have mid-term exams or any …
