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Precalculus

The Fine Print

Course Goals​

  • 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 course 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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Prerequisites

  • Students must have completed the equivalent of one of these high school math sequences: Algebra 1, Geometry, Algebra II/Trigonometry or Integrated Math 1, 2, 3.

  • Are you ready? Take a Self Assessment Test. 

 

Course Details​

  • See the FAQ for complete dates, times, and breaks.

  • See the FAQ for CA charters that designate this class as a-g approved

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Instructor Demo​

  • See a ZOOM Demo: Ashley Porter demonstrates her instructional approach.

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Course Resources

Textbook

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Web Resources

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Calculator

  • Required: TI-84 series

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Technical Resources

We use ZOOM for live meetings. U.S. and international students need:

  • A reliable internet connection

  • A computer with a web-cam

  • Recommended: a headset with a microphone (but your built-in computer audio and microphone will work if necessary)

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AP and Advancement Placement are registered trademarks of the College Board. Used with permission.

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