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Trigonometric identities

In this video, Francis introduces the identities to remember about sine, cosine, and tangent functions. In particular the Pythagorean identity, and the sum/difference formulas are presented. You can access a …

Graphs of trigonometric functions

In this video, Francis describes the graphs of the sine, cosine, and tangent functions. You can access a copy of the slides used in the video in the PDF file …

Trigonometry by the unit circle

In this video, Francis introduces the trigonometric functions as functions of real numbers. In particular even-odd properties and the periodicity of the trigonometric functions are considered. You can access a …

Trigonometry by triangles

In this video, Francis introduces trigonometric functions as ratios of the sides of right triangles. Some classical results, as the law of sines, are presented. You can access a copy …

It’s your turn on the Euler number

Do your best in trying to solve the following problems. In any case some of them are solved in the video and all of them are solved in the pdf …

The Euler number

In this video Francis introduces the Euler number (e). You can access a copy of the slides used in the video in the PDF file at the bottom of this …

Natural logarithms

In this video Francis introduces the natural logarithm. You can access a copy of the slides used in the video in the PDF file at the bottom of this step.

Functions and their inverses

In this video Francis introduces the inverse of a bijective function. You can access a copy of the slides used in the video in the PDF file at the bottom …

Exponential functions

In this video Francis introduces the exponential functions. You can access a copy of the slides used in the video in the PDF file at the bottom of this step.