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# Precalculus The Fine Print

#### Course Goalsâ€‹

• Describe characteristics and properties of complex functions both graphically and algebraically

• Recognize and evaluate the behavior of trigonometric functions using the unit circle

• Learn and manipulate trigonometric identities to solve complex equations

• Understand the relationship between linear equations and matrices in order to solve systems of linear equations

• Explore topics of analytical geometry graphically

• Use standard equations to graphically represent the 4 types of conic sections

• Demonstrate the ability to evaluate limits of sequences, series and functions

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#### The courses will cover the following topics:

• Characteristics of complex functions such as domain/range, increasing/decreasing, minimums/maximums and asymptotes

• Factoring polynomials using synthetic division

• Properties of complex numbers

• Modeling logarithmic and exponential functions to study topics such as earthquake magnitudes, compound interest and population growth

• Trigonometry topics such as trigonometric functions, the Unit Circle, right angles, and trigonometric identities to study topics such as linear speed and harmonic motion

• Properties of vectors such as finding the dot product, cross product and triple scalar product

• Solving systems of linear equations algebraically and by use of matrices to study topics such as cryptography

• Proofs by mathematical induction

• Introduction to probability including use of the Binomial Theorem, Pascal’s triangle and permutations

• Exploration of conic sections including circles, parabolas, ellipses, and hyperbolas,

• Graphing and exploring properties of parametric and polar equations

• An introduction to Calculus through the evaluation of limits

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#### Course Resources

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##### Other Resources
• â€‹Desmos.com | a free online graphing calculator program

• GeoGebra | a free application for students to visualize characteristics of functions

• Zoom | a free teleconferencing application

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Calculator

• Required: A graphing calculator.

##### Technical Resources
• Required:

• A reliable internet connection

• A computer with a web-cam

• A working microphone

• A free phone/computer scanning app (such as and Adobe Scan)

• Recommended:

• Earbuds or a headset with a microphone (a built-in computer microphone will work if needed)

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