Pre-Calculus

Math Introduction to Derivatives

Math Introduction to Derivatives 150 150 Deborah

Overview A derivative of a function describes its rate of change at a particular point on the function. The rate of change doesn’t have to be constant, so it can…

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Math Review of Real, Complex, and Hyperreal Numbers

Math Review of Real, Complex, and Hyperreal Numbers 150 150 Deborah

Overview Real numbers are the rational and irrational numbers that people deal with in everyday life. Hyperreal numbers include numbers that are infinitely large, infinitely small, or infinitesimal, along with…

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Math Review of More Properties of Circular Functions

Math Review of More Properties of Circular Functions 150 150 Deborah

Overview The unit circle has as its center the origin point of the Cartesian coordinates x and y, and has a radius 1. The trigonometric functions are also called circular…

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Math Review of Applications of Circular Functions

Math Review of Applications of Circular Functions 150 150 Deborah

Overview Circular trigonometric functions can be applied to situations in physical, biological, and social sciences involving data that follows a pattern that is not linear. Many of those patterns are…

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Math Review of Angles and Circular Motion

Math Review of Angles and Circular Motion 150 150 Deborah

Overview Trigonometry is defined by the measurement of angles and their relationships. One of the ways that trigonometry can be applied is in the measurement of angles and circular motion.…

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Trigonometry Review of Degrees, Radians, and Measurement of Angles

Trigonometry Review of Degrees, Radians, and Measurement of Angles 150 150 Deborah

Overview Although many students are most familiar with the measurement of angles by degrees, there are other ways to measure angles. In calculus, advanced trigonometry, and applications of calculus to…

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Math Review of Trigonometric Identities

Math Review of Trigonometric Identities 150 150 Deborah

Overview Trigonometric identities are relationships between trigonometric ratios that define them in terms of one another. They can be used to help solve problems that involve trigonometric functions. Reciprocal Identities…

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Trigonometry Review of Right Triangles

Trigonometry Review of Right Triangles 150 150 Deborah

Overview Right triangles have special properties that are important to determine trigonometric ratios, such as sine (sin), cosine (cos), tangent (tan), secant (sec), cosecant (csc), and cotangent (cot). Those ratios…

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Math Review of Circular Functions

Math Review of Circular Functions 150 150 Deborah

Overview The trigonometric functions can also be defined in terms of the unit circle, so sometimes they are called the circular functions. This is because of the relationships of the…

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Math Review of Arcs and the Unit Circle

Math Review of Arcs and the Unit Circle 150 150 Deborah

Overview One of the methods of measuring angles is to measure them in relationship to a unit circle and as the measurement of an arc. Applications include periodic behavior such as…

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