Calculus II (Integral Calculus)
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Calculus II (Integral Calculus)

Videos on a second course in calculus (Integral Calculus).
4.6 (17 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,170 students enrolled
Created by Math Fortress
Last updated 2/2014
English
Current price: $10 Original price: $20 Discount: 50% off
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Includes:
  • 2 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Fortify your understanding of Calculus II.
View Curriculum
Requirements
  • Calculus I (Differential Calculus)
Description

***Obtain a $10 off coupon by visiting our website!***

The course includes several techniques of integration, improper integrals, antiderivatives, application of the definite integral, differential equations, and approximations using Taylor polynomials and series. This course is required of engineering, physics, and mathematics majors.

This course contains a series of video tutorials that are broken up into various levels. Each video builds upon the previous one. Level I videos lay out the theoretical frame work to successfully tackle on problems covered in the next videos.

These videos can be used as a stand along course or as a supplement to your current calculus II course.

This course is consistently being populated with new videos.

This course is for anyone who wants to fortify their understanding of calculus II or anyone that wishes to learn calculus II can benefit from this course.

This course is consistently monitored ready to reply to any questions that may arise.

Who is the target audience?
  • College Students
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Curriculum For This Course
15 Lectures
01:46:13
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Introduction
1 Lecture 00:40

This video gives an overview of what this course will cover.

Preview 00:40
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Integration By Parts
2 Lectures 14:25
This video goes over a second integration technique used to find indefinite integrals formed by a product of functions. This video goes over the derivation of the integration by parts formula by using the product rule as a starting point. In addition, the video goes over an example covering the application of this new integration technique.
Preview 07:30

This video goes over 3 examples, covering the proper way to use the integration by parts formula. This video includes an example covering the two forms of the integration by parts formula, an example where rewriting of the integrand is required, and a final example where an integral contains a single function.
Preview 06:55
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Integration By Parts: Tabular Method
3 Lectures 17:17
This video goes over 2 examples, covering the proper way to find integrals that require the repeated application of the integration by parts formula. In addition, the tabular method for integration by parts is also introduced.
Integration By Parts (Level 3): Tabular Method
06:29

This video goes over an example, covering the proper way to find integrals that require the repeated application of the integration by parts formula specifically an integral that generates a constant multiple of the original integral. In addition, this integral will also be found by using the tabular method for integration by parts.
Integration By Parts (Level 4): Tabular Method
04:16

This video goes over three examples, covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.
Integration By Parts (Level 5): Tabular Method
06:32
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Multiple Integration Techniques
1 Lecture 07:04
This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.
Integration By Parts (Level 6): Multiple Integration Techniques
07:04
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Trigonometric Integrals
3 Lectures 27:50
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 4 basic examples illustrating the case when the power of cosine is odd. 
Preview 10:31

This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 4 basic examples illustrating the case when the power of sine is odd. 
Trigonometric Integrals (Level 2)
10:53

This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 1 basic example illustrating the case when the power of sine and cosine are odd. 
Trigonometric Integrals (Level 3)
06:26
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Even Powers
2 Lectures 19:18
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 basic example illustrating the case when the power of sine and cosine are even. 
Trigonometric Integrals (Level 4): Even Powers
09:48

This video continues illustrating methods in solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 2 challenging examples illustrating the case when the power of sine and cosine are even. 
Trigonometric Integrals (Level 5): Even Powers
09:30
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Distinct Arguments
2 Lectures 19:05
This video continues illustrating methods for solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain products of sine and cosine with distinct arguments (angles). This video covers 3 examples illustrating the use of the product to sum identities for sine and cosine. 
Trigonometric Integrals (Level 6): Distinct Argument
09:17

This video concludes the methods for solving trigonometric integrals that contain combinations of sine and cosine. This video covers 4 challenging examples that require the use of different trigonometric identities, multiplying by the conjugate, and factoring. 
Trigonometric Integrals (Level 7): Distinct Argument
09:48
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Conclusion
1 Lecture 00:34

This video gives an overview of what was taught in this course.

Conclusion
00:34
About the Instructor
Math Fortress
4.4 Average rating
236 Reviews
11,543 Students
9 Courses
Fortify Your Math Knowledge

Math Fortress provides great quality college level math videos, equation sheets, and worksheets.We have math videos for, Algebra I (Beginning Algebra), Algebra II (Intermediate Algebra), Geometry, Precalculus, Calculus I (Differential Calculus), Calculus II (Integral Calculus), Calculus III (Multivariable Calculus), Linear Algebra, Differential Equations, New York Regents Exam and the GRE.