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Student Learning Outcomes

• Mathematics - 50 - 51 - 51A - 51B - 61 - 71 - 71A - 71B - 71X - 96
       - 100 - 110 - 110H - 120 - 130 - 140 - 150 - 160 - 180 - 181 - 210 - 280 - 285 •
• Computer Science - 110 - 140 - 145 - 150 - 170 - 190 - 210 - 220 - 230 •

Mathematics

Math 50

  1. Math 50 students will be able to simplify expressions.
  2. Math 50 students will be able to solve a linear equation.
  3. When performing a problem, Math 50 students will present a logical, step-by-step argument, leading to a correct conclusion.

Math 51

  1. Math 51 students will be able to solve a linear equation.
  2. Students will be able to solve a wide variety of equations without being given the type of equation.
  3. Students will be able to factor a wide variety of polynomials.

Math 51A

  1. Students will be able to solve a wide variety of equations without being given the type of equation.
  2. Students will be able to factor a wide variety of polynomials.
  3. Math 51 students will be able to solve a linear equation.

Math 51B

  1. Students will be able to solve a wide variety of equations without being given the type of equation.
  2. Students will be able to factor a wide variety of polynomials.

Math 61

  1. Given a statement, students will be able to make a drawing and write the hypothesis and conclusion using math notation pertinent to the drawing.
  2. Students can write a formal geometric proof.

Math 71

  1. Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
  2. Students will be able to graph a wide variety of functions and conic sections.

Math 71A

  1. Students will be able to solve a wide variety of equations without being given the type of equation.
  2. Students will be able to factor a wide variety of polynomials.
  3. Students will be able to solve a wide variety of equations without being told what type of equation they are solving.

Math 71B

  1. Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
  2. Students will be able to graph a wide variety of functions and conic sections.

Math 71X

  1. Students are able to set up and solve applied problems of proportionality.
  2. Students are able to apply dimensional analysis to unit conversions.
  3. Students are able to isolate variables in algebraic and logarithmic equations.
  4. Students are able to apply least squares methods to model relationships between variables in real-world applications.

Math 96

  1. Students will be able to construct a mathematics mind map.
  2. Students will be able to create a meta-cognitive tool to facilitate distributed practices of mathematical procedures.
  3. Students will be able to create a personalized study plan emphasizing their natural intelligence strengths.

Math 100

  1. A Math 100 student will be able to use a Venn diagram to count and find probability.
  2. Math 100 students should be able to determine the validity of an argument.

Math 110

  1. Students will be able to determine descriptive statistics from a sample.
  2. Students will be able to use sample statistics to develop a confidence interval for population parameters.
  3. Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
  4. Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line.

Math 110H

  1. Students will be able to determine descriptive statistics from a sample.
  2. Students will be able to use sample statistics to develop a confidence interval for population parameters.
  3. Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
  4. Using bivariate data, students will be able to determine whether a significant linear correlation exists between two variables and determine the equation of the regression line.

Math 120

  1. Students will be able to solve a linear programming problem using the geometric approach.
  2. Students will be able to solve a binomial probability distribution problem.

Math 130

  1. Students will be able to simplify an expression that is either polynomial, rational, radical, exponential or logarithmic.
  2. Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
  3. Students will be able to graph a function (or relation) that is either polynomial, rational, exponential or logarithmic.

Math 140

  1. Students will understand the use of the derivative and be able to accurately differentiate a given function as suggested by the notation and/or the wording of the problem.
  2. Students will understand the use of the integral and will be able to accurately integrate a given function as suggested by the notation and/or the wording of the problem.

Math 150

  1. Without the use of a calculator, students will be able to graph the six trigonometric functions in a precise manner, stating the period, amplitude, phase shift, and translation as appropriate.
  2. The student will be able to accurately solve trigonometric equations over a given interval, including equations that use multiple angles, identities, and quadratic forms.

Math 160

  1. Students will be able to analyze a variety of functions.
  2. Students will be able to solve different types of trigonometric equations.

Math 180

  1. Students can differentiate algebraic and transcendental functions.
  2. Students can solve optimization problems.
  3. Students can compute instantaneous rates of change in applications.
  4. Students can evaluate integrals of elementary functions using the method of substitution.

Math 181

  1. Students can integrate algebraic and transcendental function using a variety of techniques.
  2. Students can apply the definite integral to applications.
  3. Students can determine convergence of infinite series of various forms using various techniques.
  4. Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.

Math 210

  1. A Math 210 student will be able to use a Venn diagram to count and find probability.
  2. Math 210 students should be able to determine the validity of an argument.

Math 280

  1. Students can analytically describe the physical states of objects with mass traveling in three dimensions.
  2. Students can compute partial and directional derivatives for functions of several variables.
  3. Students can apply partial derivatives to optimization problems.
  4. Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.

Math 285

  1. Students can solve non-homogeneous linear differential equations of any order using a variety of methods.
  2. Students can formulate and solve differential equations which model real-world phenomena.
  3. Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality.
  4. Students can diagonalize square matrices and apply these results to the solutions of linear systems of differential equations.
  5. Students can solve linear differential equations using power series.
 
 
 
Mathematics & Computer Science
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