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
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
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 ag approved
Instructor Demo

See a ZOOM Demo: Ashley Porter demonstrates her instructional approach.
Course Resources
Textbook

Precalculus, 10th edition, by Ron Larson

Hardback copy of textbook loaned free through Blue Tent OnLoan


Look inside: a preview

ISBN: 9781337271073
Web Resources

WebAssign ($35). Ebook and homework platform purchase coordinated through instructor

GeoGebra – A free application for students to visualize characteristics of functions

IXL  an online practice and diagnostic app (cost is included in tuition)

Desmos.com – A free online graphing calculator program
Calculator

Required: TI84 series
Technical Resources
We use ZOOM for live meetings. U.S. and international students need:

A reliable internet connection

A computer with a webcam

Recommended: a headset with a microphone (but your builtin computer audio and microphone will work if necessary)