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18.02 Multivariable Calculus (MIT) 18.02 Multivariable Calculus (MIT)

Description

Includes audio/video content: AV lectures. This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates. Includes audio/video content: AV lectures. This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include vectors and matrices, partial derivatives, double and triple integrals, and vector calculus in 2 and 3-space. MIT OpenCourseWare offers another version of 18.02, from the Spring 2006 term. Both versions cover the same material, although they are taught by different faculty and rely on different textbooks. Multivariable Calculus (18.02) is taught during the Fall and Spring terms at MIT, and is a required subject for all MIT undergraduates.

Subjects

calculus | calculus | calculus of several variables | calculus of several variables | vector algebra | vector algebra | determinants | determinants | matrix | matrix | matrices | matrices | vector-valued function | vector-valued function | space motion | space motion | scalar function | scalar function | partial differentiation | partial differentiation | gradient | gradient | optimization techniques | optimization techniques | double integrals | double integrals | line integrals | line integrals | exact differential | exact differential | conservative fields | conservative fields | Green's theorem | Green's theorem | triple integrals | triple integrals | surface integrals | surface integrals | divergence theorem Stokes' theorem | divergence theorem Stokes' theorem | applications | applications

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.013A Calculus with Applications (MIT) 18.013A Calculus with Applications (MIT)

Description

This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and a half term course in calculus for students who have studied calculus in high school. The format allows it to be entirely self contained, so that it is possible to follow it without any background in calculus. This is an undergraduate course on differential calculus in one and several dimensions. It is intended as a one and a half term course in calculus for students who have studied calculus in high school. The format allows it to be entirely self contained, so that it is possible to follow it without any background in calculus.

Subjects

vector algebra | vector algebra | taylor series | taylor series | numerical methods | numerical methods | differential calculus | differential calculus | 18.013 | 18.013

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Math 1A/1B. Pre-Calculus: Odd and Even Functions

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Odd and Even Functions View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License.

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Math 1A/1B. Pre-Calculus: Parallel and Perpendicular Lines

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Parallel and Perpendicular Lines View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License.

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Math 1A/1B. Pre-Calculus: Plotting Points in the Rectangular Coordinate System

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Plotting Points in the Rectangular Coordinate System View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Polynomial Long Division

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Polynomial Long Division View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Polynomial Inequalities

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Polynomial Inequalities View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Properties of Polynomials

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Properties of Polynomials View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: The Slope of a Line

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: The Slope of a Line View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Finding the Slope of a Line Given Its Equation

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Finding the Slope of a Line Given Its Equation View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Converting a Quadratic Function from Standard to Vertex Form

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Converting a Quadratic Function From Standard to Vertex Form View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Synthetic Division

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Synthetic Division View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Finding Zeros of a Polynomial, Part 2

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus:Finding Zeros of a Polynomial -- Part 2 View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Finding Zeros of a Polynomial, Part 1

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus:Finding Zeros of a Polynomial -- Part 1 View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Sum, Difference, Product, and Quotient of Two Functions

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Sum, Difference, Product, and Quotient of Two Functions View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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Math 1A/1B. Pre-Calculus: Verifying Inverse Functions

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Verifying Inverse Functions View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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18.02 Multivariable Calculus (MIT) 18.02 Multivariable Calculus (MIT)

Description

This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include Vectors and Matrices, Partial Derivatives, Double and Triple Integrals, and Vector Calculus in 2 and 3-space. This course covers vector and multi-variable calculus. It is the second semester in the freshman calculus sequence. Topics include Vectors and Matrices, Partial Derivatives, Double and Triple Integrals, and Vector Calculus in 2 and 3-space.

Subjects

Calculus | Calculus | calculus of several variables | calculus of several variables | vector algebra | vector algebra | determinants | determinants | matrix | matrix | matrices | matrices | vector-valued function | vector-valued function | space motion | space motion | scalar function | scalar function | partial differentiation | partial differentiation | gradient | gradient | optimization techniques | optimization techniques | double integrals | double integrals | line integrals | line integrals | exact differential | exact differential | conservative fields | conservative fields | Green's theorem | Green's theorem | triple integrals | triple integrals | surface integrals | surface integrals | divergence theorem Stokes' theorem | divergence theorem Stokes' theorem | applications | applications

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18.013A Calculus with Applications (MIT) 18.013A Calculus with Applications (MIT)

Description

Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. Given in the first half of the first term. However, those wishing credit for 18.013A only, must attend the entire semester. Prerequisites: a year of high school calculus or the equivalent, with a score of 4 or 5 on the AB, or the AB portion of the BC, Calculus test, or an equivalent score on a standard international exam, or a passing grade on the first half of the 18.01 Advanced Standing exam.Technical RequirementsThe MathML version of the textbook requires the Internet Explorer 6 browser or above with the MathPlayer plug-in  or Netscape 7.x / Mozill Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. Given in the first half of the first term. However, those wishing credit for 18.013A only, must attend the entire semester. Prerequisites: a year of high school calculus or the equivalent, with a score of 4 or 5 on the AB, or the AB portion of the BC, Calculus test, or an equivalent score on a standard international exam, or a passing grade on the first half of the 18.01 Advanced Standing exam.Technical RequirementsThe MathML version of the textbook requires the Internet Explorer 6 browser or above with the MathPlayer plug-in  or Netscape 7.x / Mozill

Subjects

vector algebra | vector algebra | taylor series | taylor series | numerical methods | numerical methods | differential calculus | differential calculus | 18.013 | 18.013

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3.016 Mathematics for Materials Scientists and Engineers (MIT) 3.016 Mathematics for Materials Scientists and Engineers (MIT)

Description

The class will cover 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 3.012 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, fourier analysis and random walks.Technical RequirementsMathematica® software is required to run the .nb files found on this course site. The class will cover 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 3.012 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, fourier analysis and random walks.Technical RequirementsMathematica® software is required to run the .nb files found on this course site.

Subjects

energetics | energetics | materials structure and symmetry: applied fields | materials structure and symmetry: applied fields | mechanics and physics of solids and soft materials | mechanics and physics of solids and soft materials | linear algebra | linear algebra | orthonormal basis | orthonormal basis | eigenvalues | eigenvalues | eigenvectors | eigenvectors | quadratic forms | quadratic forms | tensor operations | tensor operations | symmetry operations | symmetry operations | calculus | calculus | complex analysis | complex analysis | differential equations | differential equations | theory of distributions | theory of distributions | fourier analysis | fourier analysis | random walks | random walks | mathematical technicques | mathematical technicques | materials science | materials science | materials engineering | materials engineering | materials structure | materials structure | symmetry | symmetry | applied fields | applied fields | materials response | materials response | solids mechanics | solids mechanics | solids physics | solids physics | soft materials | soft materials | multi-variable calculus | multi-variable calculus | ordinary differential equations | ordinary differential equations | partial differential equations | partial differential equations | applied mathematics | applied mathematics | mathematical techniques | mathematical techniques

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Math 1A/1B. Pre-Calculus: Conjugate Zeros Theorem

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Conjugate Zeros Theorem View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/).

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18.01 Single Variable Calculus (MIT) 18.01 Single Variable Calculus (MIT)

Description

This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Topics include:Concepts of function, limits, and continuityDifferentiation rules, application to graphing, rates, approximations, and extremum problemsDefinite and indefinite integrationFundamental theorem of calculusApplications of integration to geometry and scienceElementary functionsTechniques of integrationApproximation of definite integrals, improper integrals, and L'Hôpital's rule MATLAB® is a trademark of The MathWorks, Inc. This introductory Calculus course covers differentiation and integration of functions of one variable, with applications. Topics include:Concepts of function, limits, and continuityDifferentiation rules, application to graphing, rates, approximations, and extremum problemsDefinite and indefinite integrationFundamental theorem of calculusApplications of integration to geometry and scienceElementary functionsTechniques of integrationApproximation of definite integrals, improper integrals, and L'Hôpital's rule MATLAB® is a trademark of The MathWorks, Inc.

Subjects

differentiation and integration of functions of one variable | differentiation and integration of functions of one variable | limits | limits | continuity | continuity | differentiation rules | differentiation rules | extremum problems | extremum problems | definite and indefinite integration | definite and indefinite integration | fundamental theorem of calculus | fundamental theorem of calculus | elementary | elementary | techniques of integration | techniques of integration | approximation of definite integrals | approximation of definite integrals | improper integrals | improper integrals | l'H?pital's rule | l'H?pital's rule | single variable calculus | single variable calculus | mathematical applications | mathematical applications | function | function | graphing | graphing | rates | rates | approximations | approximations | definite integration | definite integration | indefinite integration | indefinite integration | geometry | geometry | science | science | elementary functions | elementary functions | definite integrals | definite integrals

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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Math 1A/1B. Pre-Calculus: Absolute Value Inequalities

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Absolute Value Inequalities View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/)

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Math 1A/1B. Pre-Calculus: Adding and Subtracting Polynomials

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Adding and Subtracting Polynomials View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/)

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Math 1A/1B. Pre-Calculus: Adding and Subtracting Rational Expressions

Description

UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Adding and Subtracting Rational Expressions View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/)

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Math 1A/1B. Pre-Calculus: Absolute Value Equations

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UCI Math 1A/1B: Pre-Calculus Pre-Calculus: Absolute Value Equations View the complete course: http://ocw.uci.edu/courses/math_1a1b_precalculus.html Instructor: Sarah Eichhorn, Ph.D and Rachel Lehman, Ph.D License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw.uci.edu Description: UCI Math 1A/1B: Precalculus is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus. Required attribution: Eichhorn, Sarah; Lehman, Rachel Pre-calculus 1A/1B (UCI OpenCourseWare: University of California, Irvine), http://ocw.uci.edu/courses/math_1a1b_precalculus.html. [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (http://creativecommons.org/licenses/by-sa/4.0/)

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