• College Algebra with Trig and Pre-Calculus
    Linear Equations and Inequalities
    1. Graphing lines
    2. Writing equations of lines
    3. Graphing Inequalities
    4. Review of absolute value, quadratic and rational inequalities
    4. Applications in one variable
    All word problem review
    Chapter Test
    1. Solving linear systems algebraically, including 3 variables
    2. Classifying systems as consistent (dep or ind) or inconsistent
    3. Solving systems graphically
    4. Applications in two or more variables – all word problems
    5. Linear programming
    Chapter Test
    1. Size
    2. Operations
    3. Application with multiplication
    4. Determinants
    5. Inverses
    5. Solving systems using matrices
    a. calculator and inverse
    b. Cramer’s Rule
    Chapter Test
    Functions – deeper understanding and more rigor than Alg 2
    1. Relations and Functions
    2. Determining a Function
    Coordinates, vertical line test, mapping equations
    3. Domain and Range
    3. One-to-one, Many-to-one, Onto
    4. Function Notation
    5. The Algebra of Functions
    6. Composition of Functions and Domain
    7. Graphing using transformations (library of functions)
    8. Inverse Functions and Domain
    9. Piecewise, writing absolute value as a piecewise
    Chapter Test
    1. Quick review
    2. Re-do with equations quadratic in form
    Chapter Test
    Rational Exponents
    1. Operations
    2. Evaluating
    2. Factoring
    3. Equations
    Chapter Test
    Exponentials and Logs
    Chapter Test
    Trig Review
    Chapter Test
    Fianl Examination for College Algebra with Trig
    Series and Sequences Review
    Chapter Test
    Higher Order Polynomials
    1. Classifying
    2. Leading term test and end behavior
    3. Intermediate Value thm
    4. Long division, synthetic division
    5. Factor thm and remainder thm
    6. Descartes rule of signs
    7. Rational roots thm
    8. Solving
    9. Graphing
    10. Writing equations given roots and multiplicity
    Chapter Test
    Analytic Geometry and Polar Coordinates
    1. rectangular coordinates into polar
    2. Polar coordinates into rectangular
    3. Writing complex into cis form
    4. Writing cis into complex
    5. Writing rectangular equations into polar
    6. Writing polar equations into rectangular
    7. Multiplying, dividing and power rules
    8. Finding nth roots
    9. Graphing polar coordinates
    10. Graphs
    Chapter Test
    Preview Calculus
    present two main ideas: tangent line and area under a curve
    1. Understanding and notation
    2. Tables
    3. Graphically
    4. Algebraically
    5. at infinity
    6. Approaching infinity
    7. Involving trig
    Chapter Test
    1. Definitions and math jargon
    2. at a point
    3. Discontinuities
    4. Making a piecewise continuous at a point/over entire number line
    5. Intermediate Value thm
    Chapter Test
    1. Definition of the Derivative, tangent line problem
    2. Finding derivatives using the limit process
    3. First rules
    Power rule, product rule, quotient rule, chain rule
    with equations of tangent/normal lines and horizontal tangent lines
    4. Abstract derivatives form graphs and tables
    5. Trig derivatives/equations of tangent lines
    7. ln u, eu, au, log au/equations of tangent lines
    Chapter Test