Mathematics and Statistics Course SLOs

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Math 1A – At the conclusion of the course, students will be able to:

  • Evaluate limits and use them to find derivatives.
  • Evaluate derivatives and interpret derivatives as rates of change and/or slopes of tangent lines.
  • Solve applications that require differentiation such as applied optimization and related rates.
  • Determine the behavior of a function from its derivatives.
  • Evaluate integrals and interpret integrals as total changes and/or bounded areas.
  • Compose simple proofs.

Math 1B – At the conclusion of the course, students will be able to:

  • Calculate derivatives and integrals of algebraic and transcendental functions.
  • Determine the convergence or divergence of sequences and series.
  • Demonstrate the ability to apply the appropriate technique to integration and to the determination of convergence of sequences and series.

Math 1C – At the conclusion of the course, students will be able to:

  • Compute partial derivatives, the gradient and extrema of functions.
  • Evaluate double and triple integrals.

Math 2 – At the conclusion of the course, students will be able to:

  • Classify DEs as linear, separable, homogeneous, exact, &c.
  • Solve nth-order linear differential equations.
  • Solve ordinary differential equations by applying an appropriate technique.

Math 3 – At the conclusion of the course, students will be able to:

  • Solve a system of linear equations using matrix methods; Calculate eigenvalues and eigenvectors for a 3×3 matrix.
  • Formulate transformations between n-dimensional vector spaces.

Math 9 – At the conclusion of the course, students will be able to:

  • Graph a function using the first and second derivatives.
  • Solve an application problem that involves the marginal cost, marginal profit, or marginal revenue.
  • Solve an application problem that involves optimization.
  • Find an equation of the tangent line to the graph of a function.
  • Find the area bounded by the graphs of two functions.  One of the functions may be  f(x) = 0.
  • Solve an application problem that involves integration.

Math 10 – At the conclusion of the course, students will be able to:

  • Demonstrate an understanding of a variety of mathematical ideas and systems.

Math 15 – At the conclusion of the course, students will be able to:

  • Demonstrate a depth of understanding of number systems.
  • Demonstrate a depth of understanding of Polya’s method for problem solving.

Math 16 – At the conclusion of the course, students will be able to:

  • Students will demonstrate an understanding of geometric ideas, basic probability and statistics, and methods of problem solving.

Math 20 – At the conclusion of the course, students will be able to:

  • Solve an equation by applying a combination of methods
  • Simplify a difference quotient
  • Analyze a rational function
  • Find the domain of a function
  • Find the zeros of a polynomial

Math 21 – At the conclusion of the course, students will be able to:

  • Graph and analyze the graph of a trigonometric function
  • Solve a trigonometric equation
  • Solve an application problem involving right triangles
  • Prove an identity
  • Find the value of a trigonometric function of an unknown angle given the value of a different trigonometric function of that angle.

Math 25 – At the conclusion of the course, students will be able to:

  • Translate word problems into linear programming problems and solve those using the Simplex algorithm.
  • Calculate present and future values of account balances, loans and annuities.
  • Translate word problems into systems of equations and solve those using matrix methods.
  • Solve enumeration problems by applying basic combinatorial principles.

Math 51 – At the conclusion of the course, students will be able to:

  • Identify the appropriate definition, postulate, or theorem that justifies a statement in a proof.

Math 52 – At the conclusion of the course, students will be able to:

  • Demonstrate understanding of logarithmic properties
  • Perform operations on rational expressions
  • Analyze and graph a quadratic function
  • Solve a problem involving exponential equations
  • Solve a problem involving quadratic equations
  • Perform operations on radical expressions

Math 58 – At the conclusion of the course, students will be able to:

  • Differentiate fallacious and valid arguments.
  • Solve problems that use percentages, ratios, indices, tables or graphs and identify abuses.

Math 101 – At the conclusion of the course, students will be able to:

  • Derive the equation of a line.
  • Solve linear inequalities in one variable.
  • Graph and analyze linear equations.
  • Translate an application problem into a linear equation or a system of linear equations.
  • Perform arithmetic operations on polynomial expressions.
  • Apply the properties of integer exponents.
  • Solve systems of linear equations.

Stat 1 – At the conclusion of the course, students will be able to:

  • Calculate and interpret measures of center and measures of dispersion for given data.
  • Find probabilities for applications involving normal random variables.
  • Construct and interpret a confidence interval for a population mean or proportion.
  • Formulate decisions about rejection or failures to reject hypotheses based on data/information provided.

Mathematics and Statistics Program SLOs

Computation 1: Solve equations and inequalities

Computation 2: Perform operations on mathematical objects (e.g. numbers, expressions, functions, matrices).

Computation 3: Graph equations, functions, and inequalities

Critical Thinking 1: Solve applied problems using mathematical or statistical methods

Critical Thinking 2: Prove identities and theorems

Critical Thinking 3: Apply definitions, notation and properties of mathematical concepts