Course SLOs

Mathematics and Statistics Course SLOs

​Click here for the Program SLOs

​Jump to: Math1AMath1BMath​​1CMath​​2Math​3Math9Math10Math15Math​​16Math​​17
Math​​20Math​​21Math25Math50Math50AMath​​50BMath​​51Math​​52Math​​52AMath​​52B

Math​​58Math​​110Math​​111; Stat1

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 3x3 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 17 – At the conclusion of the course, students will be able to:

  • Use recursion to analyze algorithms and programs.
  • Write proofs using symbolic logic and Boolean Algebra
  • Use sets to solve problems in combinatorics and probability theory

 

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 50 - At the conclusion of the course, students will be able to:

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

 

Math 50A - 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.  
  • Simplify an expression involving rational numbers using order of operations. 

 

Math 50B - At the conclusion of the course, students will be able to:

  • Factor a polynomial expression.
  • Perform arithmetic operations on polynomial expressions.
  • Solve linear inequalities in one variable.  
  • Apply the properties of integer exponents.
  • Solve systems of linear equations.
  • Translate an application problem into a system of equations. 

 

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 52A - At the conclusion of the course, students will be able to:

  • Perform operations on rational expressions
  • Perform operations on radical expressions
  • Solve a quadratic equation by factoring

 

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

  • Demonstrate understanding of logarithmic properties
  • Analyze and graph a quadratic function
  • Solve a problem involving exponential equations
  • Solve a problem involving quadratic equations

 

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

  • Differentiate fallacious and valid arguments.

 

Math 110 - At the conclusion of the course, students will be able to:

  • Perform arithmetic operations on whole numbers.
  • Solve basic proportion problems.
  • Perform arithmetic operations on fractions and mixed numbers.
  • Solve basic percent problems.​
  • Perform arithmetic operations on decimal numbers.
  • Find the prime factorization of a composite number.

 

Math 111 – At the conclusion of the course, students will be able to:

  • Perform arithmetic operations on signed real numbers.
  • Convert between fractions, decimals and percents.
  • Identify applications of the field axioms.
  • Solve linear equations in one variable.
  • Solve applied problems involving percents and proportions.
  • Add, subtract, multiply and simplify polynomials.

 

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


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Last modified on November 21, 2014. (Please report dead links.)


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