Student Learning Outcomes

• Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
• Apply the binomial theorem.
• Evaluate series.
• Find the values of a sequence.
• Find the inverse of a function.
• Evaluate and perform operations on exponential and logarithmic functions.
• Rationalize denominators.
• Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
• Simplify complex fractions.
• Simplify and perform operations on rational expressions.
• Add, subtract, multiply, divide, and factor polynomials.
• Use the rules for exponents to simplify expressions.
• Find the equation of a line given facts about the line.
• Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems.
• Solve applications using linear systems.
• Solve linear systems in two and three variables.
• Solve non-linear systems in two variables.
• Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
• Solve applications using equations in one variable.
• Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
• Solve literal equations.
• Solve applications involving the quadratic equations.
• Solve compound inequalities.
• Solve polynomial and rational inequalities.
• Perform operations on functions.
• Find the domain of a function involving rational or radical expressions.
• Define a function and its domain and range.
• Students will feel that mathematics is a beneficial part of their education
• Math students feel they have the resources necessary for their success.