# Math 2B. Calculus. Lecture 01. Course Introduction & Antiderivative.

#### Try Also ###### Math 2B. Calculus. Lecture 04. The Fundamental Theorem of Calculus. ###### Lec 18 ###### Class 10th ###### Math 2B. Calculus. Lecture 05. Indefinite Integral & The Net Change Theorem.
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• Math 2B. Calculus. Lecture 03. Definite Integral.

54:25

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 03. Single-Variable Calculus -- Definite Integral --
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Instructor: Natalia L. Komarova Ph.D.

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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 2, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2A. Calculus. Lecture 01. Functions.

51:03

UCI Math 2A: Single-Variable Calculus (Fall 2013)
Lec 01. Single-Variable Calculus -- Functions --
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Instructor: German A. Enciso, Ph.D.

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Description: UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.

Recorded on September 27, 2013

Required attribution: Enciso, German A. Math 2A (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

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• Math 2B. Calculus. Lecture 12. Trigonometric Substitution

49:04

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 12. Single-Variable Calculus -- Trigonometric Substitution --
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Instructor: Natalia L. Komarova Ph.D.

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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 25, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Differential & Integral Calculus, Lec 1, Math 31A, UCLA

37:26

Course Description:
Math 31A is a course that provides insight into differential calculus and applications as well as an introduction to integration.

Steve Butler is a NSF Postdoctoral Scholar and Assistant Adjunct Professor of the UCLA Department of Mathematics. He received his Ph. D. from UCSD in June of 2008 and has been at UCLA since the Fall of 2008 (where he will be staying for a total of three years). His area of research consists of Combinatorics as well as particular spectral graph theory, combinatorial geometry, and recreational mathematics (i.e., juggling).

Course Webpage:
Professors Webpage: math.ucla.edu/~butler

Note: Some clips and images may have been blurred or removed to avoid copyright infringement.

* See all the UCLA Math 31A: Differential & Integral Calculus classes in this series:
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• Calculus 1 Lecture 1.1: An Introduction to Limits

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Calculus 1 Lecture 1.1: An Introduction to Limits

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• Calculus: What Is It?

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This video shows how calculus is both interesting and useful. Its history, practical uses, place in mathematics and wide use are all covered. If you are wondering why you might want to learn calculus, start here!

• The Birth Of Calculus

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A documentary on Leibniz and the calculus.

• Math 2B. Calculus. Lecture 19. Sequences

49:28

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 19. Single-Variable Calculus -- Sequences --
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Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on November 13, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Computing Antiderivatives | MIT 18.01SC Single Variable Calculus, Fall 2010

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Computing Antiderivatives
Instructor: Joel Lewis
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• Calculus 5.1b - Antiderivative Examples

6:48

Some introductory examples of antidifferentiation.

• Math 2B. Calculus. Lecture 13. Integration by Partial Fractions

50:06

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 13. Single-Variable Calculus -- Integration by Partial Fractions --
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Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 28, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2B. Calculus. Lecture 05. Indefinite Integral & The Net Change Theorem.

44:43

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 05. Single-Variable Calculus -- Indefinite Integral & The Net Change Theorem --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 7, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2B. Calculus. Lecture 25. Power Series

50:36

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 25. Single-Variable Calculus -- Power Series --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on November 27, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• The Antiderivative

10:24

• What is Calculus Used For? | Jeff Heys | TEDxBozeman

8:51

This talk describes the motivation for developing mathematical models, including models that are developed to avoid ethically difficult experiments.  Three different examples from the field of human health are presented.

Jeffrey J. Heys is an assistant professor of chemical engineering at Montana State University. He received his B.S. in chemical engineering in 1996 from Montana State University, and his M.S. and Ph.D. from the University of Colorado at Boulder in 1998 and 2001,respectively.  His research area is computational transport and computational fluid dynamics in biological systems with an emphasis on fluid-structure interaction and multiphase flows.

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In the spirit of ideas worth spreading, TEDx is a program of local, self-organized events that bring people together to share a TED-like experience. At a TEDx event, TEDTalks video and live speakers combine to spark deep discussion and connection in a small group. These local, self-organized events are branded TEDx, where x = independently organized TED event. The TED Conference provides general guidance for the TEDx program, but individual TEDx events are self-organized.*

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• Calculus I - Lecture 01 - A Review of Pre-Calculus

46:51

• Math 176. Math of Finance. Lecture 01.

1:14:16

UCI Math 176: Math of Finance (Fall 2014)
Lec 01. Math of Finance
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Instructor: Donald Saari, Ph.D.

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Description: UCI Math 176 covers the following topics: reviewing of tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitrage, Puts, Calls, the design of portfolios, the derivation and solution of the Blac-Scholes, and other equations.

Recorded on January 7, 2014

Required attribution: Saari, Donald. Math 176 (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (

• How to trick your math teacher

7:00

For more cool Tricks Visit my Website :

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• ❖ Basic Integration Problems

10:01

Please consider supporting me on Patreon! Be a Patron of Mathematics!
Buy my book!: '1001 Calculus Problems for Dummies' - you can get it on my website:

Basic Integration of Indefinite Integrals. For more free math videos, visit

• Math 2B. Calculus. Lecture 28. Final Review

49:46

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 28. Single-Variable Calculus -- Final Review --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on December 6, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2B. Calculus. Lecture 27. Taylor Series and Maclaurin Series

48:11

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 27. Single-Variable Calculus -- Taylor Series and Maclaurin Series --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on December 4, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2A. Calculus. Lecture 09. Derivatives.

42:06

UCI Math 2A: Single-Variable Calculus (Fall 2013)
Lec 09. Single-Variable Calculus -- Derivatives --
View the complete course:
Instructor: German A. Enciso, Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.

Recorded on October 16, 2013

Required attribution: Enciso, German A. Math 2A (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Probability , Tricks and Shortcuts in maths , Free Video lecture for IIT JEE , CAT CPT Bank PO

12:31

Visit to buy complete chapter.

• Antiderivatives and indefinite integrals

3:43

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• Antiderivatives and Integrals

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Using the power rule to find an antiderivative.

• The Indefinite Integral or Anti-derivative

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An introduction to indefinite integration of polynomials.

• Biological Sciences M121. Immunology with Hematology. Lecture 02. The Immune System & Host Defense

48:20

UCI BioSci M121: Immunology with Hematology (Fall 2013)
Lec 02. Immunology with Hematology -- The Immune System & Host Defense --
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Instructor: David A. Fruman, Ph.D.

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Description: UCI BioSci M121 covers the following topics: Antibodies, antigens, antigen-antibody reactions, cells and tissues of lymphoreticular and hematopoietic systems, and individual and collective components of cell-mediated and humoral immune response.

Recorded on September 30, 2013

Required attribution: Fruman, David. Immunology with Hematology M121 (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (

• Integrals - Calculus

5:56

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Understand the definition of the integral and learn how to find the area underneath the curve.

Review a basic indefinite integral example using a polynomial function.

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So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here:

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• How to solve Antiderivatives? - Calculus Tips

6:12

How to solve Antiderivatives? - Calculus Tips. Watch and learn now! Then take an online Calculus course at StraighterLine for college credit:

• 4. Calculus: One of the Most Successful Technologies

1:42:48

(October 22, 2012) Professor Keith Devlin discusses how calculus is truly one of the most useful discoveries of all time.

Originally presented in the Stanford Continuing Studies Program.

Stanford University:

Stanford Continuing Studies Program:

Stanford University Channel on YouTube:

• Basic Antiderivative Examples

5:18

This video has a few examples of finding indefinite integrals.

and click on the 'Free Video Lessons' tab on the left!

Just Math Tutoring

• Calculus -- The foundation of modern science

19:04

Easy to understand explanation of integrals and derivatives using 3D animations.

• Math 2B. Calculus. Lecture 26. Representing Functions as Power Series

49:45

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 26. Single-Variable Calculus -- Representing Functions as Power Series --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on December 2, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Antiderivative & Indefinite Integration 11 Examples

31:50

I introduce the concept of finding the general Antiderivative through the process of Indefinite Integration. I finish by working through many examples. NOTE: I miscopied the Power Rule writing that n can't equal 1, there is an annotation correction, n cannot equal -1.

NOTE: At min 9:00 I verbal say the derivative of 3x is 3x^2 which is incorrect. It is 3. You will not see the annotation correction if viewing on an iPad or iPhone.

Check out there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at

• Antiderivatives and Integrals 2

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Antiderivatives of trigonometric functions

• Lec 1 | MIT 18.06 Linear Algebra, Spring 2005

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Lecture 1: The Geometry of Linear Equations.
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• Math 2B. Calculus. Lecture 06. The Substitution Rule.

47:39

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 06. Single-Variable Calculus -- The Substitution Rule --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 9, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007

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Derivatives, slope, velocity, rate of change
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• Biological Sciences M121. Immunology with Hematology. Lecture 01. Course Introduction.

51:47

UCI BioSci M121: Immunology with Hematology (Fall 2013)
Lec 01. Immunology with Hematology -- Course Introduction --
View the complete course:

Instructor: David A. Fruman, Ph.D.

License: Creative Commons CC-BY-SA
More courses at

Description: UCI BioSci M121 covers the following topics: Antibodies, antigens, antigen-antibody reactions, cells and tissues of lymphoreticular and hematopoietic systems, and individual and collective components of cell-mediated and humoral immune response.

Recorded on September 23, 2013

Required attribution: Fruman, David. Immunology with Hematology M121 (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 4.0 United States License. (

• Anti Derivative - Complete Concept & Basics

19:08

Anti Derivative (Indefinite Integration or Primitive) is the opposite of Derivative. It is commonly known as integration. We have two types of integration one is Indefinite Integration and other is definite integration. In this anti derivative - calculus video lesson, we are discussing the primitives, anti derivative or indefinite integration.

Whenever we are differentiating a function, it always gives you a derivative, but the process of integration of a derivative tries to give you the function, whose derivative you have. But its not sure that one function have only one derivative. Many function can have same derivative, therefore, we say indefinite integration,

I have tried to clear very nicely the concept hidden behind the calculus math chapter Anti Derivative or Indefinite Integration or Primitive, once we learn this, we will jump to definite integration.

All the fundamental concepts and basics of integration is tried to explain in this calculus lecture.

We have tried to explain geometrical meaning of anti derivative as well. Geometrically, how should we learn anti derivative, indefinite integration, its very well explained.

I believe this , conceptual calculus video lesson of Indefinite Integration will help you to gain more concept.

• Math 4. Math for Economists. Lecture 01. Introduction to the Course

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UCI Math 4: Math for Economists (Summer 2013)
Lec 01. Math for Economists
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Instructor: Jason Kronewetter, Ph.D.

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Description: UCI Math 4 covers the following topics: linear algebra and multivariable differential calculus suitable for economic applications.

Recorded on August 5, 2013

Required attribution: Kronewetter, Jason. Math for Economists 4 (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Class 9th-Maths Online Video Lectures-Number Systems

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Aakash iTutor: Class 9th Mathematics Video Lectures (Number Systems: Representation of rationals on number line) to study through online coaching tablet by Aakash Institute. Enquire for Full Video-Lectures @ ( and prepare for NTSE and Board Exams.

• Math 2B. Calculus. Lecture 09. Mid-Term Review

48:25

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 09. Single-Variable Calculus -- Mid-Term Review --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on October 16, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• Math 2A. Calculus. Lecture 05. Tangents, Slopes, and Limits.

51:27

UCI Math 2A: Single-Variable Calculus (Fall 2013)
Lec 05. Single-Variable Calculus -- Tangents, Slopes, and Limits --
View the complete course:
Instructor: German A. Enciso, Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2A is the first quarter in Single-Variable Calculus and covers the following topics: Introduction to derivatives, calculation of derivatives of algebraic and trigonometric functions; applications including curve sketching, related rates, and optimization. Exponential and logarithm functions.

Recorded on October 7, 2013

Required attribution: Enciso, German A. Math 2A (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• XI_23.Integral Calculus Introduction for 1-D motion.mp4

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Class XI Physics. Class room lectures by Pradeep Kshetrapal. Chapter : Kinematics. Topic : Integral Calculus and its application. Language : Hindi and English mixed.

• Math 2B. Calculus. Lecture 20. Series

47:30

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 20. Single-Variable Calculus -- Series --
View the complete course:
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA
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Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on November 15, 2013

Required attribution: Komarova, Natalia L. Math 2B (UCI OpenCourseWare: University of California, Irvine), [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (

• UC Irvine OpenCourseWare

22

• Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences

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Calculus 2 Lecture 9.1: Convergence and Divergence of Sequences

• Calculus 1 Lecture 1.4: Continuity of Functions

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Calculus 1 Lecture 1.4: Continuity of Functions