Mathematics Program Student Learning Outcome: Recipients of our AS degree, in mathematics, will be well prepared to continue their education in STEM (Science, Technology, Engineering, Mathematics) at a college or university.

Math, Science, and Engineering Student Learning Outcomes

Course | Student Learning Outcome (SLO) |
---|---|

Math 1 | Apply mathematical principles and techniques to solve problems in areas such as ancient systems of numeration, set theory and number theory. |

Use critical thinking to arrive and conclusions from Venn diagrams, syllogistic forms and truth tables. | |

Demonstrate knowledge of affective domain and study skills. | |

Math 11 | Analyze and solve a precalculus level problem using analytic methods. |

Sketch the graph of a precalculus level problem using skills beyond plotting a table of points. | |

Demonstrate knowledge of affective domain and study skills. | |

Math 13 | Recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of integration and its applications. |

Recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of the derivative and its applications. | |

Demonstrate knowledge of affective domain and study skills. | |

Math 14 | Interpret slope as rate of change. |

Use exponential growth and decay models to make predictions. | |

Demonstrate knowledge of affective domain and study skills. | |

Computational Skills: successful students will be proficient in arithmetic with integers, rational numbers, decimals and percents | |

Math 20 | Construct and interpret graphs such as bar charts, histograms and box plots. |

Compute appropriate descriptive statistics. | |

Choose and apply inferential analyses in order to draw conclusions about a population. | |

Demonstrate knowledge of affective domain and study skills. | |

Math 50 | Solve linear equations: Students will be able to solve linear equations. |

Math 100 | Critical thinking: use critical thinking to arrive at conclusions from Venn Diagrams, syllogistic forms, and truth tables. |

Cultural understanding: relate a knowledge of the people, and uses of mathematics throughout history of mathematics. | |

Principles and Technique: apply mathematical principles and techniques to solve problems in areas such as ancient systems of numeration, set theory, and number theory. | |

Math 101 | Interpret slope as a rate of change. |

Use exponential growth and decay models to make predictions. | |

Math 105 | Place Value: students will demonstrate an understanding of place value by counting in bases other than base ten |

Math 106 | Area and Perimeter: students will be able to demonstrate an understanding of the difference between area and perimeter. |

Math 110 | College Algebra: students will be able to analyze and solve a precalculus level problem using analytic methods and be able to sketch the graph of a precalculus level function. |

Math 115 | Applications of Right Triangle Trigonometry: use trigonometric functions to solve application problems involving unknown sides of right triangles |

Trigonometric Equations: be able to solve equations involving trigonometric functions | |

Trigonometric function values: analytically evaluate the six trigonometric functions of angles of measures that are multiples of 30 degrees and 45 degrees. | |

Trigonometric Identities: use basic identities to verify trigonometric identities or to simplify trigonometric expressions. | |

Math 120 | Descriptive statistics: compute appropriate descriptive statistics. |

Graphing: students will be able to construct and interpret graphs such as bar charts, histograms and box plots. | |

Inferential statistics: choose and apply inferential analyses in order to draw conclusions about a population. | |

Math 126 | Students will be able solve multi-step precalculus level problems in a variety of contexts related to science, technology, engineering, and mathematics |

Students will be able use multiple representations of functions to interpret and describe how two quantities change together. | |

Math 127 | Students will be able to create sinusoidal models and interpret the period, amplitude, vertical shift and phase shift in the context of STEM applications. |

Students will be able to use multiple representations of functions to interpret and describe how two quantities change together. | |

Students will be able to solve trigonometric equations. | |

Math 130 | Interpret derivative: students will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of the derivative and its applications. |

Interpret Integration: students will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of integration and its applications. | |

Math 135 | Graph functions: demonstrate proficiency in the graphing of functions at the precalculus level. |

Solve equations: solve equations involving algebraic and transcendental functions at the precalculus level | |

Math 140 | Antiderivative: find the antiderivative of a function using basic integration rules. |

Limits: evaluate limits analytically. | |

Optimization: use calculus to solve optimization problem | |

Rules of Derivatives: find the derivative of a function using rules of derivatives | |

Math 141 | Integration Techniques: demonstrate proficiency in evaluating integrals using various techniques of integration. |

Math 146 | Functions, Subroutines: develop a FORTRAN-90 program that contains functions and subroutines. |

Sequence, Selection, Iteration: develop a FORTRAN-90 program that contains sequence, selection and iteration control structures | |

Math 200 | Demonstrate understanding of the theoretical foundations of linear algebra, such as vector spaces, inner product spaces, the eigenvalue problem. May include applications from math, science, or engineering. |

Solve a linear system using appropriate methods and interpret the results. | |

Math 205 | Multivariable Functions: perform calculus on multivariable functions. |

Vector Operations: perform vector operations using geometry in space. | |

Vector Valued Functions: Perform calculus on vector valued functions | |

Math 206 | Application of Differential Equations: successful students will be able to compare first- and second-order differential equations, solve these equations using appropriate techniques including constructing solutions using series and matrices, and apply them to problems in science and engineering. |

Math 245 | Mathematical Proofs: prove a statement using one of the basic methods of proof or disprove it using a counter example. |

Minimum Spanning Tree: Use a standard algorithm to find a minimal spanning tree for a given graph. |