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Calculus Sequences and Series
Unrestricted Use
CC BY
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This course is a brief introduction to sequences and infinite series. We begin with a discussion of power series and develop tests for convergence and non-convergence. Taylor series are introduced and lead to an analysis of power series in general. This is a 1-credit course that can be taken any time after the student has completed Calculus I.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Roxbury Community College
Author:
Javad Moulai
Date Added:
05/15/2019
Calculus with Theory
Conditional Remix & Share Permitted
CC BY-NC-SA
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18.014, Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Breiner, Christine
Date Added:
09/01/2010
Everything Maths: Grade 12
Unrestricted Use
CC BY
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This is a comprehensive math textbook for Grade 12. It can be downloaded, read on-line on a mobile phone, computer or iPad. Every chapter has links to on-line video lessons and explanations. Summary presentations at the end of each chapter offer an overview of the content covered, with key points highlighted for easy revision. Topics covered are: language of mathematics, logarithms, sequences and series, finance, factorising cubic polynomials, functions and graphs, differential calculus, linear programming, geometry, trigonometry, statistics, combinations and permutations. This book is based upon the original Free High School Science Text series.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Siyavula
Date Added:
04/12/2012
Introduction to Analysis
Conditional Remix & Share Permitted
CC BY-NC-SA
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Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space.
MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Mattuck, Arthur
Date Added:
09/01/2012
Whitman Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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An introductory level single variable calculus book, covering standard topics in differential and integral calculus, and infinite series. Late transcendentals and multivariable versions are also available.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Whitman College
Author:
David Guichard
Date Added:
01/01/2010