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Module Overview

This unit is pretty short in terms of videos to watch, but there is a lot of work to do.  Section 3.4 introduces trigonometric derivatives and the limits required to do them.  Section 3.5 begins the application of calculus to physical problems.  We include example videos showing how CIV 100 questions can be combined with derivatives to create interesting results.  Do make sure to get plenty of practice with the exercises in 3.5.

Learning Outcomes

  • Section 3.4 shows us how to take the derivative of various trigonometric functions. To take the derivative requires us to figure out some new limits.  In the example videos, we combine trigonometric derivatives with the material in other sections.
  • Section 3.5 introduces the idea of using derivatives to figure out physical problems.  The example videos, however, give us connections between this course and CIV 100, creating interesting problems that use both courses.
PROJECT FILES
Type: Video Links
Title Author Description
Trigonometric Limits - Sine | Trigonometric Limits - Sine Shai Cohen
Trigonometric Limits - Cosine | Trigonometric Limits - Cosine Shai Cohen
Trigonometric Limits - Uses | Trigonometric Limits - Uses Shai Cohen
Trigonometric Derivatives - Sine & Cosine | Trigonometric Derivatives - Sine & Cosine Shai Cohen
Trigonometric Derivatives - Using the Quotient Rule | Trigonometric Derivatives - Using the Quotient Rule Shai Cohen
Trig Derivatives Example - Easy | Trig Derivatives Example - Easy Shai Cohen
Trig Derivatives Example - Tangent Line | Trig Derivatives Example - Tangent Line Shai Cohen
Trig Derivatives Example - Continuity | Trig Derivatives Example - Continuity Shai Cohen
Trig Derivatives Example - Continuity II | Trig Derivatives Example - Continuity II Shai Cohen
Higher-order Derivatives Example - Trig | Higher-order derivatives Example - Trig Shai Cohen
Higher-order Derivatives Example - More Trig | Higher-order Derivatives Example - More Trig Shai Cohen
Derivative as Rate of Change | Derivative as Rate of Change Shai Cohen
Rate of Change Example - The First Example | Rate of Change Example - The First Example Shai Cohen
Rate of Change Example - Easy Examples | Rate of Change Example - Easy Examples Shai Cohen
Rate of Change Example - The Cross Product | Rate of Change Example - The Cross Product Shai Cohen
Rate of Change Example - Balloons | Rate of Change Example - Balloons Shai Cohen
Rate of Change Example - Moment | Rate of Change Example - Moment Shai Cohen
Rate of Change Example - Tension | Rate of Change Example - Tension Shai Cohen