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
Text & Interactive Program

Required: Digital Resources ($65) purchasedâ€‹â€‹ through Blue Tent include:

ebook of Precalculus, 10th edition, by Ron Larson

WebAssign interactive homework platform


Optional: hard copy of the textbook can be purchased on own or borrowed through Blue Tent OnLoan (while supplies last)
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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
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Technical Resources

Required:

A reliable internet connection

A computer with a webcam

A working microphone

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


Recommended:

Earbuds or a headset with a microphone (a builtin computer microphone will work if needed)

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