Unit 1 Math Review | |

Evaluating Expressions and Solving Linear Equations | Concept and Examples (9 minutes) This video discusses the basics of evaluating expressions and solving linear equations. The rules of precedence are discussed. A sample linear equation is solved and the answer is checked for correctness. |

Solving Quadratic Equations, Quadratic Formula | Concept and Examples (20 minutes) This video shows how to solve quadratic equations using these methods: 1) take the square root of both sides, 2) factor, 3) complete the square, 4) Quadratic Formula. The quadratic formula is derived and applied to three examples. |

Right Triangle, Pythagorean Theorem | Concept and Example (9 minutes) In this video the Pythagorean Theorem is used to determine if a triangle is valid and to solve for the length of an unknown side. The video has some general comments regarding which side of a right triangle is the hypotenuse. |

Right Triangle, Trigonometric Functions | Concept and Example (17 minutes) This video discusses the trig functions sine, cosine, tangent, and their inverse functions. For review, the Pythagorean Theorem is used to find the length of one side of a right triangle. The trig funcitons are defined in terms of the lengths of the sides of the triangle. The inverse trig functions are used in other examples to determine the angle in a right triangle. |

Vector Addition | Concept and Example (10 minutes)This video shows how to add two vectors using graphical and analytical methods. The graphical method gives an approximate result. The analytical method requires the computation of X and Y components. The net X and Y components are computed and used as the short sides of a right triangle. The Pythagorean Theorem is used to calculate the magnitude of the result vector. Inverse tangent is used to compute the angle of the vector. The graphical addition sketch is examined to see if the calculated angle needs to be adjusted by 180 degrees since the inverse tangent only returns angles between -90 and +90 degrees. |

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Unit 2 Area of a Triangle | |

Area of Triangle, Verification of 1/2 base height | Example (12 minutes) In 1966 I learned to write computer programs in FORTRAN at the U. of Iowa. One of our first programs computed the area of a triangle. I thought it would be fun to record a video that shows a verification of the formula 1/2 * base * height using area diagrams and Calculus. |

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