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Calculus with Theory, Fall 2010
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Calculus with Theory, covers the same material as 18.01 (Single Variable Calculus), ...

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
Material Type:
Assessments
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Lecture Notes
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Syllabi
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Breiner, Christine
Elementary Calculus: An Infinitesimal Approach (CA Textbook)
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This is a calculus textbook at the college Freshman level based on ...

This is a calculus textbook at the college Freshman level based on Abraham Robinson's infinitesimals, which date from 1960. Robinson's modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.

This digital textbook was reviewed for its alignment with California content standards.

Subject:
Calculus
Material Type:
Textbooks
Provider:
University of Wisconsin
Author:
H. Jerome Keisler
Introduction to Analysis, Fall 2012
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Analysis I in its various versions covers fundamentals of mathematical analysis: continuity, ...

Analysis I 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
Material Type:
Assessments
Full Course
Homework and Assignments
Readings
Syllabi
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Arthur Mattuck
Whitman Calculus
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An introductory level single variable calculus book, covering standard topics in differential ...

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:
Mathematics
Calculus
Material Type:
Textbooks
Provider:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
David Guichard