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| 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: 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: 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: 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: 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 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: 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: 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: The Survival of a Mathematician Steven George Krantz, 2009 One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration. In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide.--BOOK JACKET. |
| college math classes ranked by difficulty: Combinatorics: The Art of Counting Bruce E. Sagan, 2020-10-16 This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular. |
| college math classes ranked by difficulty: Calculus on Manifolds Michael Spivak, 1965 This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of advanced calculus in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. |
| 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: The Mathematics of Chip-Firing Caroline J. Klivans, 2018-11-15 The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics. |
| 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: The College Panda's SAT Math Nielson Phu, 2015-01-06 For more sample chapters and information, check out http: //thecollegepanda.com/the-advanced-guide-to-sat-math/ This book brings together everything you need to know to score high on the math section, from the simplest to the most obscure concepts. Unlike most other test prep books, this one is truly geared towards the student aiming for the perfect score. It leaves no stones unturned. Inside, You'll Find: Clear explanations of the tested math concepts, from the simplest to the most obscure Hundreds of examples to illustrate all the question types and the different ways they can show up Over 500 practice questions and explanations to help you master each topic The most common mistakes students make (so you don't) A chapter completely devoted to tricky question students tend to miss A question difficulty distribution chart that tells you which questions are easy, medium, and hard A list of relevant questions from The Official SAT Study Guide at the end of each chapter A cheat sheet of strategies for all the common question patterns A chart that tells you how many questions you need to answer for your target score |
| 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: 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: 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: MCAT 528 Advanced Prep 2021–2022 Kaplan Test Prep, 2020-11-03 Always study with the most up-to-date prep! Look for MCAT 528 Advanced Prep 2023-2024, ISBN 9781506276793, on sale November 1, 2022. |
| college math classes ranked by difficulty: Number Theory and Algebraic Geometry Miles Reid, Alexei Skorobogatov, 2003 This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry. |
| 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: 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: Signals and Systems Gang Li, Liping Chang, Sheng Li, 2015-10-16 Signals and systems enjoy wide application in industry and daily life, and understanding basic concepts of the subject area is of importance to undergraduates majoring in engineering. With rigorous mathematical deduction, this introductory text book is helpful for students who study communications engineering, electrical and electronic engineering, and control engineering. Additionally, supplementary materials are provided for self-learners. |
| college math classes ranked by difficulty: Introduction to Geometry Richard Rusczyk, 2007-07-01 |
| 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: Colleges that Change Lives Loren Pope, 1996 The distinctive group of forty colleges profiled here is a well-kept secret in a status industry. They outdo the Ivies and research universities in producing winners. And they work their magic on the B and C students as well as on the A students. Loren Pope, director of the College Placement Bureau, provides essential information on schools that he has chosen for their proven ability to develop potential, values, initiative, and risk-taking in a wide range of students. Inside you'll find evaluations of each school's program and personality to help you decide if it's a community that's right for you; interviews with students that offer an insider's perspective on each college; professors' and deans' viewpoints on their school, their students, and their mission; and information on what happens to the graduates and what they think of their college experience. Loren Pope encourages you to be a hard-nosed consumer when visiting a college, advises how to evaluate a school in terms of your own needs and strengths, and shows how the college experience can enrich the rest of your life. |
| 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: 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: Calculus and ODEs David Pearson, 1996 This book starts with an introduction to the area and explanation of the most commonly used functions, it then moves on through differentiation, special function, derivatives, integrals and onto full differential equations. |
| college math classes ranked by difficulty: State Comparisons of Education Statistics Thomas D. Snyder, 1998 |
| 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: 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: Texas College Guide Jessica Givens, 2014-04 All over the world, The University of Texas at Austin is synonymous with academic excellence. However, many aspiring longhorns do not understand how to prepare themselves to compete in the application process to UT Austin. Texas College Guide: The University of Texas at Austin breaks down the knowledge barriers, giving students the information they need to start working in advance and lay the groundwork to make themselves stand out from the pack. This is not a book about tricks or back doors. It presents a detailed evaluation of the various majors available at UT and an assessment of how those majors play out after graduation. Additionally, the guide reviews admissions practices and statistics to give students a realistic appraisal of the processes in place at UT. Finally, Givens incorporates her personal twist on career opportunities and fields of study, as well as provides actual examples of successful UT applicants from previous years. There is no other book like this one on the market. |
| college math classes ranked by difficulty: Calculus Michael Spivak, 1980 |
| 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: A Course of Modern Analysis E. T. Whittaker, George Neville Watson, G. N. Watson, 1927 This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions. |
| college math classes ranked by difficulty: Learning to Support Young Mathematicians at Work Catherine Twomey Fosnot, Kara Louise Imm, Maarten Dolk, William Jacob, Despina Stylianou, 2012 Our digital-lab environment provides an active, more meaningful professional development experience, which empowers teachers to integrate theory and practice. We offer teachers the opportunity to embark upon their own landscape of learning journey. --Catherine Twomey Fosnot The bestselling Young Mathematicians at Work series has helped tens of thousands of teachers inspire deep mathematical understanding in students with its signature workshop approach. The Contexts for Learning Mathematics series has helped even more teachers bring that approach into their classrooms to align their math program to the Standards of Practice in the Common Core. Now Cathy Fosnot and her colleagues have developed an invaluable resource that gives teachers ownership of the core ideas and essential understandings of early algebra. Learning to Support Young Mathematicians at Work offers Professional Development providers interactive, meaningful tools to help teachers deepen their algebraic thinking within a unique digital environment. Two DVDs feature classroom sessions that show students exploring the sequence of investigations and activities found in the popular Contexts for Learning Mathematics algebra unit books Trades, Jumps, and Stops and The California Frog-Jumping Contest. Extensive classroom video footage allows participants to study children over time, and examine and analyze their development as well as the teacher's pedagogy. The user can respond to prompts, create video clips and presentations, and explore related materials all from the DVD, either alone at home or in a workshop setting. The PD facilitator's guide features a flexible menu of workshops, ranging from two-hour sessions that focus on a particular topic to comprehensive 5-day institutes. As participants engage in the investigations, they build their own conceptual and pedagogical understanding of algebra and proof, questioning and conferring, observing children at work in mathematics, and using the powerful tools of context and representations. These learning experiences foster teachers' algebraic thinking and set the stage for robust and active classroom practice that promotes students' deep understanding. The DVDs are also available individually without the facilitator guide for teachers who may prefer to study the material outside of a workshop setting. Trades, Jumps and Stops DVD California Frog Jumping Contest DVD NOTE: The DVD-ROMs are compatible with Windows XP, Vista, Windows 7, and Mac OS X up to 10.6. They are not compatible with Mac OS X 10.7 (Lion) or above. |
| 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: Teach Them Diligently Leslie Nunnery, 2018-03-06 It’s easy to say we trust Christ for everything, but are we living that truth? We’ve been given clear instruction in a powerful promise for parents. God tells us in Deuteronomy to “teach our children diligently.” This passage and many others give us great insight as to how to do that and enjoy the promised blessing that always accompanies the mandates we are given. Learn the practical view of discipleship parenting, what God expects from parents, and how to put these truths into actionSee how parenting with the vision of teaching them diligently will intentionally bear fruit and affect change in your own life as wellMove beyond giving lip-service to what you believe, and make the conscious choice to rely on the wisdom of God’s holy instruction for your life and parenting. So, why are we as Christian parents still uncertain? Why do we live in fear? Why are we losing our children in record numbers? What can we do about it? |
Class of 2029 Official Regular Decision (RD) Threads
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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 …
Class of 2029 Official Regular Decision (RD) Threads
Dec 29, 2024 · With the Early Admissions season almost behind us, we are switching focus to the Regular Decision cycle. Below we have compiled a list of all active school specific threads. …
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College Search & Lists transfer , help-me-decide , northwestern-university , vanderbilt-university 10
2025 Waitlists- expect movement (read why) and list them here
Several schools have reportedly already started to go to their waitlists (have heard that Marist, Tulane, Occidental, Chicago and UVA have reportedly started to, to name a few) as schools …
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 …
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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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Applying to College Hispanic Students African-American Students Learning Differences and Challenges - LD, ADHD Veterans Common and Coalition Application Admission Stories Early …
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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 …
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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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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 …
