Cover in Depth

Review Material

Simplify algebraic expressions using properties of integer exponents

Solve linear equations and linear inequalities

Simplify algebraic expressions with rational exponents

Compute area and volume of commonly known geometric figures

Simplify algebraic expressions with radical notation

Use formulas for distance, percents, temperature and interest to set up application problems

Rationalize Denominators

Solve application problems using linear equation

Add and subtract radical expressions

Graph a line, find the x and y intercepts of a line

Multiply expressions containing radicals

Find the slope of a line

Rationalize a denominator with two terms

Find the equation of a line through two points

Solve equations containing radicals by raising both sides to the appropriate power

Factor polynomials; solve polynomial equations by factoring

Add, subtract, multiply, and divide complex numbers

Use function notation; find function values of rational functions

Solve a quadratic equation by squaring both sides and by completing the square.

Solve application problems involving rational expressions

Solve a system of linear equations in two variables

Solve a quadratic equation by using the quadratic formula (include complex numbers).

Solve application problems using a system of equations in two and three variables.

Find functional values of the exponential function

Use the graph of a function to give domain, range and functional values.

Graph an exponential function

Determine a linear function satisfying certain conditions. Use linear functions in applications.

Find the inverse of a function Use definition of logarithm to convert between logs and exponents

Given a quadratic function, for the graph; determine the vertex, axis of symmetry, maximums or minimums and the intercepts.

Use definition of logarithm to convert between logs and exponents

Set up the equation to solve application problems and solve for max/min problems involving quadratic functions.

Solve simple logarithmic equations

Use the properties of exponents to simplify algebraic expressions with integer exponents.

Simplify simple logarithm equations

Simplify logarithmic expressions Sketch a graph using translations and reflections of y=; x^2, sqrtx absx, 1/x, x^3

Combine functions (add, subtract, multiply, divide and composition.

Determine the inverse of a function, give domain and range of the inverse.

Compute the difference quotient

Find vertices, foci, and other properties of ellipses and hyperbolas; graph the conic equations

Graph polynomial functions

Determine roots (single and multiple roots) of polynomial equations.

Graph rational functions, label asymptotes, intercepts.

Simplify algebraic expressions with rational exponents

Use properties of exponents to solve expressions and equations

Graph exponential functions and specify domain, range, intercepts and asymptotes

Graph exponential function using base e

Write exponential properties in logarithmic form, evaluate logarithmic expressions

Sketch a graph of a logarithmic function and label intercepts, asymptotes, domain and range

Simplify algebraic expressions using the properties of the logarithm; solve algebraic equations using logarithms

Solve problems using compound interest: compounding; 1) annually, 2) k times per year and 3) continuously

Solve exponential and logarithmic equations

Solve problems involving exponential growth and decay

Parametric Equations

Polar Coordinates