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Student Learning Outcomes

Course Name: Intermediate Algebra - Second Half
Course Number: Math 71B
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Students will be able to solve a wide variety of equations without being told what type of equation they are solving
  • Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
  • Solve applications using equations in one variable.
  • 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 involving the quadratic equations.
  • Solve literal equations.
  • Define a function and its domain and range.
  • Find the domain of a function involving rational or radical expressions.
  • Perform operations on functions.
  • Solve polynomial and rational inequalities.
  • Solve compound inequalities.
  • Solve non-linear systems in two variables.
  • Solve linear systems in two and three variables.
  • 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.
  • Find the equation of a line given facts about the line.
  • Use the rules for exponents to simplify expressions.
  • Add, subtract, multiply, divide, and factor polynomials.
  • Simplify and perform operations on rational expressions.
  • Simplify complex fractions.
  • Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
  • Rationalize denominators.
  • Evaluate and perform operations on exponential and logarithmic functions.
  • Find the inverse of a function.
  • Find the values of a sequence.
  • Evaluate series.
  • Apply the binomial theorem.