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4434UBC Calculus Online
http://www.merlot.org/merlot/viewMaterial.htm?id=86831
This is an online supplement designed for a calculus course taught at the University of British Columbia. The site contains course notes, interactive labs, and in-class demonstrations. The topics covered include differential and integral calculus, differential equations, and series.A youtube Calculus Workbook part II
http://www.merlot.org/merlot/viewMaterial.htm?id=827400
This book is a guide through a playlist of Calculus instructional videos. The format, level of details and rigor, and progression of topics are consistent with a semester long college level second Calculus course, or equivalently, together with the first workbook, an AP Calculus BC course. The book further provides simple summary of videos, written definitions and statements, worked out examples--even though fully step-by-step solutions are to be found in the videos-- and an index. The playlist and the book are divided into 16 thematic learning modules. Exercises, some with and some without solutions, and sample tests with solutions are provided in a separate companion manual. The book can be used for self study, or as a textbook for a Calculus course following the “flipped classroom” model.Book of Proof
http://www.merlot.org/merlot/viewMaterial.htm?id=511453
According to Student PIRGS, "Book of Proof is an introduction to the language and methods of mathematical proofs. The text is meant to bridge the computational courses that students typically encounter in their first years of college (such as calculus or differential equations) to more theoretical, proof-based courses such as topology, analysis and abstract algebra. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.Although this book may be more meaningful to the student who has had some calculus, there is no prerequisite other than a measure of mathematical maturity. The text is an expansion and refinement of the author's lecture notes developed over ten years of teaching proof courses at Virginia Commonwealth University. The text is catered to the program at VCU to an extent, but the author kept the larger audience of undergraduate mathematics students in mind.CALCULUS.ORG
http://www.merlot.org/merlot/viewMaterial.htm?id=789336
Calculus.org compiled by U.C. Davis/Williams College, Department of Mathematics, provides site links/resources for the calculus student. Resources include calculus: online texts, applications, tutorials, exams, videos, software/aplets, calculators that compute derivatives, etc. Exercises for "A youtube Calculus Workbook part II״: a flipped classroom model
http://www.merlot.org/merlot/viewMaterial.htm?id=827413
This book is the exercise companion to A youtube Calculus Workbook (part II). Its structures in modules mirrors that of the workbook. The book includes, for 31 topics, a worksheet of exercises without solutions, which are typically meant to be either worked out in class with the help of the teacher or assigned, a homework set consisting of exercises similar to those of the worksheet, and the complete solutions of the homework sets. It also contains four mock tests with solutions, and a sample final exam with solutions.Additionally, a brief discussion of the use of the Workbook and the exercise book in a flipped classroom model is included.Harvey Mudd College Math Tutorial
http://www.merlot.org/merlot/viewMaterial.htm?id=89906
A large online tutorial covering many topics in mathematics, including pre-calculus, calculus, linear algebra, and first-order differential equations. Available in PDF format as well.Hilbert Spaces and Operators on Hilbert Spaces - Functional Analysis Examples c-3
http://www.merlot.org/merlot/viewMaterial.htm?id=512812
This is a free, online textbook offered by Bookboon.com. Tolpics include: 1. Hilbert Spaces 1.1 Linner product spaces 1.2 Hilbert spaces 1.3 Fourler series 1.4 Construction of Hilbert spaces 1.5 Orthogonal projections and complements 1.6 Weak convergence2. Operators on Hilbert spaces 2.1 Operators on Hilbert spaces, general 2.2 Closed operationsLarry Green's Calculus Videos
http://www.merlot.org/merlot/viewMaterial.htm?id=443794
This is a collection of 339 videos that work out typical exercises that first, second and third semester calculus students are asked to solve. The lengths of the videos range from a couple of minutes to up to seven minute depending on the complexity of the exercise. They are all closed captioned, and graphs and other diagrams accompany the words and equations when applicable.Pre-Calculus 5-Minute Tutorial Videos
http://www.merlot.org/merlot/viewMaterial.htm?id=420555
I have created videos of every topic in my pre-calculus class. Each video is less than 5 minutes in length. Sequências Numéricas
http://www.merlot.org/merlot/viewMaterial.htm?id=816435
The study of sequences, although seen as an incipient numerical progression, is the foundation of mathematical analysis. This concept in turn is based on set theory and Dedekind cuts, and is studied by mathematical analysis.