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Peer Review

Trig Substitution - Math Leverage

Reviewed:
Feb 28, 2023 by Mathematics
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Ratings

Overall Rating: 5.0 stars
Content Quality: 4.8 stars
Effectiveness: 5.0 stars
Ease of Use: 5.0 stars
Overview:

  This site contains a brief lesson on how to apply the Trig Substitution technique for integration including examples.  

Type of Material:

Reference Material

Recommended Uses:

This site would be best for individual review or investigation but could also be incorporated into a homework assignment.

Technical Requirements:

Any browswer.

Identify Major Learning Goals:

To provide users with an overview of how to apply the Trig Substitution technique for integration.

Target Student Population:

College Lower Division,  Calculus II Students  

Prerequisite Knowledge or Skills:

Basic integration, Trigonometry

Content Quality

Rating:
Strengths:

This site provides an overview of how to apply Trig substitution along with several detailed examples.  Each step is explained using clear language.  Links for related material, such as trig integrals, have also been included.

Concerns:

There is a typo in the first example.  After making the substitution, the square root disappears.  The issue is corrected in the next step.  

Although students viewing this material will likely have already taken a course in trigonometry, it might be beneficial to provide a reminder of SOH-CAH-TOA.  

Potential Effectiveness as a Teaching Tool

Rating:
Strengths:

This is a helpful site for a quick refresher or for individual study.  This would be a great resource to post in a course LMS for students to review.    

Concerns:

None

Ease of Use for Both Students and Faculty

Rating:
Strengths:

It is very helpful because this tutorial transform the trig into one of the forms has been dealt with before providing ideas behind the strategy.

The site is visually appealing.  There are no distracting adds.  The site is interactive in the sense that users can work out the examples on their own as the follow along. 

Concerns:

None

Other Issues and Comments:

None.

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