Precalculus
The purpose of this course is to study functions and develop the necessary skills for the study of calculus. The course topics include functions, various types of graphing and curve sketching, solving polynomials, right triangle trigonometry and analytic trigonometry, conic sections, sequences and series, and introduction to limits. Upon completion of this course, students will be prepared to enter a basic calculus course or AP Calculus.
Course Outline and Topics
Unit1 : Functions
Lessons - prerequisites, graphing, solving equations, factoring and exponential graphing
Unit2 : Polynomials
Lessons - graphing polynomials, real zeros, complex numbers, the Fundamental Theorem of Algebra, rational functions, and logarithms
Unit 3 : Trigonometry
Lessons - angles & radians, right triangle trig, the unit circle, graphing trig functions, inverse trig functions
Unit 4 : Analytic Trigonometry
Lessons - fundamental trig identities, trig formulas, solving trig equations, laws of sine & cosine, trig form of a complex number
Unit 5 : Conic Sections and Polar Coordinates
Lessons - parabolas, ellipses, hyperbolas, parametric equations, systems of quadratics, polar coordinates & equations
Unit 6 : Sequences, Series, and Limits
Lessons - sequences & series, arithmetic sequence, geometric sequence, infinte series, limits
Student/Parent Expectations
Students are expected to complete 2 lessons per week, including the homework problems at the end of the lecture notes and the unit exam (requiring an 85% to move on). Students are to maintain weekly contact with the instructor, asking questions and participating in the weekly online study sessions. Additional help and problems are always available upon request.
For groups of 10 or more students, please contact us at believeinmath@mchsi.com for information regarding special offers and discounts.
Cost
$545.00
