Level 1 Topic List
  • Solve for part, whole, or percent using the percent equation.
  • Solve applications (mileage, sales tax, etc.) involving percentages.
  • Solve application problems involving fractions.
  • Apply order of operations with whole numbers, integers, fraction and decimal numbers.
  • Compute averages.
  • Write ratios and solve proportions.
  • Write ratios and solve proportions in application problems.
  • Find the unknown in a proportion.
  • Convert among fractions, decimals, and percents.
  • Answer questions about bar graphs, circle graphs, or line graphs.
  • Evaluate algebraic expressions.
  • Simplify algebraic expressions.
  • Solve linear equations.
  • Find square roots of perfect squares or cube roots of perfect cubes.
Level 2 Topic List
  • Apply order of operations with whole numbers, integers, fraction, or decimal numbers.
  • Evaluate an algebraic expression for given values.
  • Simplify algebraic expressions.
  • Solve linear equations.
  • Set up and solve a word problem involving a linear equation.
  • Solve a linear system.
  • Set up and solve a word problem involving a linear system.
  • Solve a formula for a specified variable.
  • Write and solve inequalities. Write the answer in interval notation.
  • Graph linear equations.
  • Graph a linear inequality.
  • Write the equation of a line given information about the line such as slope, point(s), intercept(s).
  • Simplify expressions involving integer or rational exponents. Simplify expressions using a combination of exponent rules.
  • Add, subtract, and multiply polynomials.
  • Factor polynomials.
  • Divide a polynomial by a monomial. Divide a polynomial by a polynomial using long division.
  • Simplify a rational expression. Evaluate a rational expression for a given value.
  • Add, subtract, multiply, and divide rational expressions. Simplify a complex fraction.
  • Solve a rational equation.
  • Solve an absolute value equation.
  • Solve an absolute value inequality. Write the answer in interval notation.
  • Simplify radical expressions involving variables.
  • Add, subtract, multiply, divide radical expressions.
  • Use rational exponents to simplify a radical expression.
  • Solve a radical equation.
  • Add, subtract, multiply, divide complex numbers.
  • Solve quadratic equations by factoring or using the quadratic formula.
  • Graph a quadratic equation. Locate the vertex.
Level 3A Topic List
  • Pythagorean Theorem Application
  • Find unknown lengths in similar triangles
  • Find and simplify difference quotient
  • Simplify rational exponents using laws of exponents
  • Use linear equations to solve problems.
  • Solve a formula for a variable.
  • Using linear equations to solve mixture problems.
  • Using linear equations to solve dimension problems.
  • Solve absolute value inequality.
  • Evaluate a function at both numeric and symbolic values.
  • Find slopes and equations of perpendicular and parallel lines.
  • Find the domain of rational functions.
  • Find the domain of radical functions.
  • Find the composition of functions.
  • Find the inverse of a function.
  • Graph parabolas using standard form.
  • Solve polynomial inequalities.
  • Graph logarithmic functions.
  • Find the domain of a logarithmic function.
  • Solve exponential equations.
  • Solve logarithmic equations.
  • Solve applied problems involving exponential and logarithmic equations. (exponential growth and decay)
  • Use logistic growth models.
  • Model exponential growth and decay.
  • Complete the square.
Level 3B Topic List
  • Solve application problems (Pythagoras Theorem)
  • Find unknown lengths in similar triangles.
  • Find and simplify a function's difference quotient.
  • Understand and use rational exponents.
  • Use linear equations to solve problems.
  • Solve a rational formula for a variable.
  • Use linear equations to solve geometry problems.
  • Solve absolute value inequalities.
  • Evaluate a function and a composition of functions.
  • Find slopes and equations of parallel and perpendicular lines.
  • Find the domain of a function.
  • Form composite functions.
  • Find the inverse of a function.
  • Graph parabolas.
  • Solve polynomial inequalities.
  • Graph logarithmic functions.
  • Find the domain of a logarithmic function.
  • Use logarithms to solve exponential equations.
  • Use the definition of a logarithm to solve logarithmic equations.
  • Solve applied problems involving exponential and logarithmic equations.
  • Use logistic growth models.
  • Complete the square.
  • Find function values for 30°(pi/6), 45° (pi/4), and 60° (pi/3).
  • Understand the graph of y = sin x, and graph variations of y = sin x.
  • Find exact values of composite functions with inverse trigonometric functions.
  • Use the fundamental trigonometric identities to verify identities.
  • Use sum and difference formulas for cosines and sines.
  • Use the double-angle formulas.
  • Use identities to solve trigonometric equations.

Contact

Phone: 573.651.2164
math@semo.edu
Johnson Hall 201

Department of Mathematics
One University Plaza, MS 6700
Cape Girardeau, Missouri 63701