Course Goals​
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Describe characteristics and properties of complex functions both graphically and algebraically
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Recognize and evaluate the behavior of trigonometric functions using the unit circle
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Learn and manipulate trigonometric identities to solve complex equations
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Understand the relationship between linear equations and matrices in order to solve systems of linear equations
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Explore topics of analytical geometry graphically
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Use standard equations to graphically represent the 4 types of conic sections
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Demonstrate the ability to evaluate limits of sequences, series and functions
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The courses will cover the following topics:
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Characteristics of complex functions such as domain/range, increasing/decreasing, minimums/maximums and asymptotes
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Factoring polynomials using synthetic division
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Properties of complex numbers
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Modeling logarithmic and exponential functions to study topics such as earthquake magnitudes, compound interest and population growth
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Trigonometry topics such as trigonometric functions, the Unit Circle, right angles, and trigonometric identities to study topics such as linear speed and harmonic motion
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Properties of vectors such as finding the dot product, cross product and triple scalar product
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Solving systems of linear equations algebraically and by use of matrices to study topics such as cryptography
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Proofs by mathematical induction
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Introduction to probability including use of the Binomial Theorem, Pascal’s triangle and permutations
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Exploration of conic sections including circles, parabolas, ellipses, and hyperbolas,
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Graphing and exploring properties of parametric and polar equations
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An introduction to Calculus through the evaluation of limits
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Course Resources
Text & Interactive Program
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Required: Digital Resources ($65) purchased​​ through Blue Tent include:
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For Precalc and Honors Precalc:
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​an ebook of Precalculus, 10th edition, by Ron Larson
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WebAssign interactive homework platform
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For AP Precalculus:
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​an ebook of Precalculus: Graphical, Numerical, Algebraic, 2024 AP edition, by Franklin D. Demana
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Optional: a hard copy of the Precalc/Honors Precalc textbook can be borrowed through Blue Tent OnLoan for $20. (AP Precalculus hardcopy texts are not available to loan.)
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Other Resources
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​Desmos.com | a free online graphing calculator program
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GeoGebra | a free application for students to visualize characteristics of functions
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Zoom | a free teleconferencing application
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Calculator
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Required: A graphing calculator.
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Technical Resources
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Required:
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A reliable internet connection
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A computer with a web-cam
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A working microphone
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A free phone/computer scanning app (such as CamScanner and Adobe Scan)
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Recommended:
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Earbuds or a headset with a microphone (a built-in computer microphone will work if needed)
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