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Applied Calculus
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Applied Calculus instructs students in the differential and integral calculus of elementary functions with an emphasis on applications to business, social and life science. Different from a traditional calculus course for engineering, science and math majors, this course does not use trigonometry, nor does it focus on mathematical proofs as an instructional method.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Shana Calaway
Date Added:
03/04/2019
Armstrong Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
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The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/.
The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.

Subject:
Calculus
Material Type:
Textbook
Provider:
University System of Georgia
Provider Set:
Galileo Open Learning Materials
Author:
Jared Schlieper,
Michael Tiemeyer
Date Added:
03/20/2015
Brief Calculus
Unrestricted Use
CC BY
Rating

This short text is designed more for self-study or review than for classroom use; full solutions are given for nearly all the end-of-chapter problems. For a more traditional text designed for classroom use, see Fundamentals of Calculus (http://www.lightandmatter.com/fund/). The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Numerical examples are given using the open-source computer algebra system Yacas, and Yacas is also used sometimes to cut down on the drudgery of symbolic techniques such as partial fractions. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Open Textbooks
Author:
Benjamin Crowell
Date Added:
10/28/2014
Business Calculus
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This course provides an introduction to applied concepts in Calculus that are relevant to the managerial, life, and social sciences. Students should have a firm grasp of the concept of functions to succeed in this course. Topics covered include derivatives of basic functions and how they can be used to optimize quantities such as profit and revenues, as well as integrals of basic functions and how they can be used to describe the total change in a quantity over time.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Date Added:
03/04/2019
Business Calculus (MATH 148)
Unrestricted Use
CC BY
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MATH&148 is a calculus course for business students. It is designed for students who want a brief course in calculus. Topics include differential and integral calculus of elementary functions. Problems emphasize business and social science applications. Translating words into mathematics and solving word problems are emphasized over algebra. Applications are mainly business oriented (e.g. cost, revenue, and profit). Mathematical theory and complex algebraic manipulations are not mainstays of this course, which is designed to be less rigorous than the calculus sequence for scientists and engineers. Topics are presented according to the rule of four: geometrically, numerically, analytically, and verbally. That is, symbolic manipulation must be balanced with graphical interpretation, numerical examples, and writing. Trigonometry is not part of the course.

Subject:
Calculus
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
03/04/2019
Calculus
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

In addition to the Textbook, there is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Mathematics
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Author:
Gilbert Strang
Date Added:
01/01/1991
Calculus 1 and 2
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Calculus is the mathematics of CHANGE and almost everything in our world is changing. In this course, you will investigate limits and how they are used to calculate rate of change at a point, define the continuity of a function and how they are used to define derivatives. Definite and indefinite integrals and their applications are covered, including improper integrals. Late in the course, you will find Calculus with parametric equations and polar coordinates, sequences and series, and vectors.

Subject:
Calculus
Material Type:
Full Course
Textbook
Provider:
Lumen Learning
Provider Set:
Candela Courseware
Author:
Dale Hoffman
David Lippman
Jeff Eldridge
Melonie Rasmussen
Date Added:
03/04/2019
Calculus - Early Transcendentals
Unrestricted Use
CC BY
Rating

From the MAA review of this book: "The discussions and explanations are succinct and to the point, in a way that pleases mathematicians who don't like calculus books to go on and on."There are eleven chapters beginning with analytic geometry and ending with sequences and series. The book covers the standard material in a one variable calculus course for science and engineering. The size of the book is such that an instructor does not have to skip sections in order to fit the material into the typical course schedule. There are sufficiently many exercises at the end of each sections, but not as many as the much bigger commercial texts. Some students and instructors may want to use something like a Schaum's outline for additional problems.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
BCcampus
Provider Set:
BCcampus Faculty Reviewed Open Textbooks
Author:
David Guichard
H. Jerome Keisler
Neil Koblitz
Date Added:
10/28/2014
Calculus I
Unrestricted Use
CC BY
Rating

This course begins with a review of algebra specifically designed to help and prepare the student for the study of calculus, and continues with discussion of functions, graphs, limits, continuity, and derivatives. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Upon successful completion of this course, the student will be able to: calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and LĺÎĺ_ĺĚĺ_hopitalĺÎĺ_ĺĚĺ_s Rule; state whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval and justify the answer; calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically; calculate derivatives of polynomial, rational, common transcendental functions, and implicitly defined functions; apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for function given as parametric equations; find extreme values of modeling functions given by formulas or graphs; predict, construct, and interpret the shapes of graphs; solve equations using NewtonĺÎĺ_ĺĚĺ_s Method; find linear approximations to functions using differentials; festate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer; state which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions. This free course may be completed online at any time. It has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. (Mathematics 005)

Subject:
Calculus
Functions
Material Type:
Assessment
Full Course
Reading
Syllabus
Textbook
Provider:
The Saylor Foundation
Date Added:
03/04/2019
Calculus III
Conditional Remix & Share Permitted
CC BY-NC-SA
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The aim of this course is to introduce the concepts in multi-variable calculus which are used very often in physics, engineering, chemistry, computer sciences, and other applied fields.
The course will start with an overview of points, vectors, lines, planes, and curves in three-dimensional space . We will then move on to surfaces in space, their derivatives, maximum and minimum problems. We will see how one can compute surface areas and volumes of the underlying space of a given surface. Towards the end of the course we will study three important theorems in this course: Green’s theorem, Stokes’ Theorem, and Gauss’ Theorem. These theorems have enormous consequences and applications in real life; especially in physics and engineering.

Subject:
Calculus
Material Type:
Full Course
Provider:
CUNY
Provider Set:
New York City College of Technology
Author:
Caner Koca
Date Added:
10/18/2019
Calculus III, Fall 2010
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CC BY-NC-SA
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This course is an introduction to the calculus of functions of several variables. It begins with studying the basic objects of multidimensional geometry: vectors and vector operations, lines, planes, cylinders, quadric surfaces, and various coordinate systems. It continues with the elementary differential geometry of vector functions and space curves. After this, it extends the basic tools of differential calculus - limits, continuity, derivatives, linearization, and optimization - to multidimensional problems. The course will conclude with a study of integration in higher dimensions, culminating in a multidimensional version of the substitution rule.

Subject:
Calculus
Geometry
Material Type:
Full Course
Homework/Assignment
Syllabus
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Catalin Zara
Ph.D.
Date Added:
03/04/2019
Calculus I, Summer 2009
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CC BY-NC-SA
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This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and use it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions.

Subject:
Calculus
Material Type:
Full Course
Homework/Assignment
Syllabus
Provider:
UMass Boston
Provider Set:
UMass Boston OpenCourseWare
Author:
Catalin Zara
Date Added:
03/04/2019
Calculus Online Textbook, Spring 2005
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CC BY-NC-SA
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Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide. Prof. Strang has also developed a related series of videos, Highlights of Calculus, on the basic ideas of calculus.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Strang, Gilbert
Date Added:
01/01/2005
Calculus Revisited, Fall 2010
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CC BY-NC-SA
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course.  The series was first released in 1970 as a way for people to review the essentials of calculus.  It is equally valuable for students who are learning calculus for the first time.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Gross, Herbert
Date Added:
11/18/2012
Calculus Revisited: Multivariable Calculus, Fall 2011
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CC BY-NC-SA
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Herbert Gross
Date Added:
01/01/2011
Calculus Volume 1
Unrestricted Use
CC BY
Rating

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Calculus Volume 2
Unrestricted Use
CC BY
Rating

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Calculus Volume 3
Unrestricted Use
CC BY
Rating

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Calculus for Everyone
Only Sharing Permitted
CC BY-NC-ND
Rating

Professor Kingan‰Ûªs motivation for writing her free Calculus I textbook was to help address the departments high failure rates in Calculus. Along with another CUNY initiative to offer Calculus workshops in advance of taking the course, Kingan‰Ûªs concise textbook in Calculus I offers students inside and outside of CUNY an opportunity to prepare for Calculus I at their own pace. She also believes that by providing free access to this material she could help to overcome some of the inequity students experience when Calculus is not offered in their high school. The textbook was written specifically for this pilot project.
The full website is available at http://calculusforeveryone.wordpress.com/ and was developed in collaboration with Miriam Deutch and Diane Dias de Fazio.

Subject:
Calculus
Material Type:
Textbook
Provider:
CUNY Academic Works
Provider Set:
Brooklyn College
Author:
Brooklyn College Library and Academic IT
Kingan, Sandra
Date Added:
01/01/2015
Calculus for Everyone
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

Browse the pages of this site to view information on the math department textbook, individual websites hosted by several professors who teach Calculus, one of which contains a free textbook, and links to videos and other useful resources.

This site is part of an Open Educational Resources pilot program, and was completed in collaboration with Professor Miriam Deutch and her team at the Brooklyn College Library and Professors Sandra Kingan, Jeffrey Suzuki, and John Velling.

Subject:
Calculus
Material Type:
Reading
Textbook
Provider:
CUNY
Provider Set:
Brooklyn College
Author:
Jeff Suzuki
John Velling
Kingan
Miriam Deutch
Sandra
Date Added:
11/15/2021
Calculus for the Life Sciences: A Modeling Approach Volume 1
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CC BY-NC-SA
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Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

Subject:
Calculus
Material Type:
Textbook
Provider:
University of Minnesota
Provider Set:
Open Textbook Library
Author:
James L. Cornette
Ralph A. Ackerman
Date Added:
01/01/2012
Calculus with Theory, Fall 2010
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CC BY-NC-SA
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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:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Breiner, Christine
Date Added:
01/01/2010
Engineering Mechanics II, Spring 2006
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CC BY-NC-SA
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This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from Calculus and Differential Equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.

Subject:
Environmental Science
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Madsen, Ole
Date Added:
01/01/2006
Game Theory and Political Theory, Fall 2004
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CC BY-NC-SA
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Increasingly, political scientists are using game theory to analyze strategic interactions across many different settings. Each of the sub-fields, to differing degrees, has seen game theoretic concepts enter its vocabulary, and students entering the profession will need to understand the potential and limits of game theory. This course aims to give students an entry-level understanding of the basic concepts of game theory, and how these concepts have been applied to the study of political phenomena. Because an important component of game theory in political science and political economy is the analysis of substantive political phenomena, we will cover illustrative examples each week in combination with methodological developments. The political and economic phenomena that we will examine include legislative rules, nuclear deterrence, electoral competition, and imperfect markets.

Subject:
Calculus
Political Science
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Snyder, James
Date Added:
01/01/2004
Geometry and Quantum Field Theory, Fall 2002
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CC BY-NC-SA
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A rigorous introduction designed for mathematicians into perturbative quantum field theory, using the language of functional integrals. Basics of classical field theory. Free quantum theories. Feynman diagrams. Renormalization theory. Local operators. Operator product expansion. Renormalization group equation. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and string theory.

Subject:
Calculus
Geometry
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Etingof, Pavel I.
Date Added:
01/01/2002
History and Philosophy of Mechanics: Newton's Principia Mathematica, Fall 2011
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CC BY-NC-SA
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This course focuses on an in-depth reading of Principia Mathematica Philosophiae Naturalis by Isaac Newton, as well as several related commentaries and historical philosophical texts.

Subject:
Arts and Humanities
Philosophy
Mathematics
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Adam Schulman
Date Added:
01/01/2011
Introduction to Analysis, Fall 2012
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CC BY-NC-SA
Rating

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:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Arthur Mattuck
Date Added:
01/01/2012
MAT 160 - Pre-calculus - Textbook
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CC BY-SA
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Precalculus: An Ivestigation of Functions. Chapters cover: Functions, Linear Functions, Polynormal and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions of Angles, Periodic Functions, Trigonometric Equations and Identities, Further Applications of Trigonometry, and Conics.

Subject:
Mathematics
Calculus
Material Type:
Textbook
Provider:
CUNY
Provider Set:
Hostos Community College
Author:
David Lippman
Melonie Rasmussen
Date Added:
04/03/2020
Math 1006 College Algebra for Precalculus
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CC BY-NC-SA
Rating

Real Numbers, Sets and Intervals, Absolute Value, Exponents and Radicals, Algebraic Expressions, Polynomials, Rational Expressions, Factoring, Solving Basic Equations, Solving Equations Involving Radicals, Solving Quadratic Equations, The Coordinate Plane, Lines, Introduction to Functions and Relations, Linear Functions in Two Variables, Systems of Linear Equations, Graphs of linear and quadratic functions. Starting Fall 2019 qualifies as STEM variant course - Satisfies Pathways Required Core Math and Quantitative Reasoning requirement.

Subject:
Mathematics
Algebra
Calculus
Material Type:
Activity/Lab
Homework/Assignment
Interactive
Lesson
Provider:
CUNY
Provider Set:
Brooklyn College
Author:
Amy Wolfe
Jeff Suzuki
Date Added:
03/08/2021
Math 1021 Precalculus (Suzuki)
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CC BY-NC-SA
Rating

Preparation for calculus with more introductory material than Mathematics 1011. Mathematics 1021 and 1026 constitute a two-term sequence for students who are not prepared for Mathematics 1011 or who wish a review. Real numbers. Complex numbers. Graphs. Functions, especially linear and quadratic functions. Polynomials and rational functions. Introduction to logarithmic and exponential functions.

Subject:
Mathematics
Calculus
Material Type:
Activity/Lab
Diagram/Illustration
Homework/Assignment
Interactive
Lesson
Provider:
CUNY
Provider Set:
Brooklyn College
Author:
Amy Wolfe
Jeff Suzuki
Date Added:
03/08/2021
Math 1201: Calculus I
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CC BY-NC-SA
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Mathematics 1201, 1206 and 2201 constitute a three-term sequence. Mathematics 1201 is an introduction to calculus: limits and continuity; derivatives and integrals of algebraic, exponential, logarithmic, and trigonometric functions of one variable; methods of numerical approximation, and applications of the derivative to mathematics, physics, engineering, biology, chemistry, and other fields. STEM variant course - Satisfies Pathways Required Core Math and Quantitative Reasoning requirement.

Subject:
Mathematics
Calculus
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
CUNY
Provider Set:
Brooklyn College
Author:
Amy Wolfe
Brooklyn College Math Faculty
Date Added:
03/08/2021
Math 1206 Calculus II
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CC BY-NC-SA
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Trigonometric and inverse trigonometric functions, techniques (closed form and numerical) and applications of integration for functions of one variable, improper integrals, l'Hopital's rule, sequences, series, and polar coordinates.

Subject:
Mathematics
Calculus
Material Type:
Activity/Lab
Homework/Assignment
Lecture
Provider:
CUNY
Provider Set:
Brooklyn College
Author:
Amy Wolfe
Brooklyn College Math Faculty
Jeff Suzuki
Date Added:
03/08/2021
Mathematics for Materials Scientists and Engineers, Fall 2005
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CC BY-NC-SA
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This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor Carter's 3.016 course Web site.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Carter, W. Craig
Date Added:
01/01/2005
Multivariable Calculus, Fall 2010
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Auroux, Denis
Date Added:
01/01/2010
Multivariable Calculus with Theory, Spring 2011
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating

This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Breiner, Christine
Date Added:
01/01/2011
Numerical Computation for Mechanical Engineers, Fall 2012
Conditional Remix & Share Permitted
CC BY-NC-SA
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This class introduces elementary programming concepts including variable types, data structures, and flow control. After an introduction to linear algebra and probability, it covers numerical methods relevant to mechanical engineering, including approximation (interpolation, least squares and statistical regression), integration, solution of linear and nonlinear equations, ordinary differential equations, and deterministic and probabilistic approaches. Examples are drawn from mechanical engineering disciplines, in particular from robotics, dynamics, and structural analysis. Assignments require MATLAB programming.

Subject:
Engineering
Information Science
Calculus
Statistics and Probability
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Anthony Patera
Daniel Frey
Nicholas Hadjiconstantinou
Date Added:
01/01/2012
Numerical Marine Hydrodynamics (13.024), Spring 2003
Conditional Remix & Share Permitted
CC BY-NC-SA
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Introduction to numerical methods: interpolation, differentiation, integration, systems of linear equations. Solution of differential equations by numerical integration, partial differential equations of inviscid hydrodynamics: finite difference methods, panel methods. Fast Fourier Transforms. Numerical representation of sea waves. Computation of the motions of ships in waves. Integral boundary layer equations and numerical solutions.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Prof. Jerome Milgram
Date Added:
01/01/2003