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.

## Mathematics Courses SLO

Course | SLO | Success Indicator |
---|---|---|

Math 10 | Operations with Numbers | Successful students will be able to add, subtract, multiply and divide whole numbers, decimal numbers and fractions. |

Math 15 | Algebra Basics | Successful students will be able to perform operations with variable and unknown quantities |

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

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

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

Math 50B | Solve quadratic equations | Students will be able to solve quadratic equations. |

Math 52A | Model real world data | Students will be able to model real world data with an appropriate function and use the model to make inferences |

Math 53 | Solve Linear Equations | Students will be able to solve linear equations |

Math 54 | Finding Averages | Students will be able to find the mean, median and mode of a data set |

Linear Models | Students will be able to write a linear model of a real world situation. | |

Math 55 | Congruent Triangles | Students will be able to prove when triangles are congruent. |

Math 56 | Graphing | Graph linear, quadratic, exponential, and logarithmic function, and utilize these graphs in problem. |

Solutions | Determine and implement an appropriate method of solution for a variety of problems involving contemporary applications of linear, quadratic, exponential, logarithmic, and rational functions. Such applications include, but are not limited to, bacterial growth, exponential decay, earthquakes, compound and simple interest, and variation | |

Math 60 | Applications of Functions | Determine and implement an appropriate method of solution for a variety of problems involving contemporary applications of linear, quadratic, exponential, logarithmic, and rational functions. Such applications include, but are not limited to, bacterial growth, exponential decay, earthquakes, compound & simple interest, and variation |

Graphing and Problem Solving | Graph linear, quadratic, exponential, and logarithmic functions. | |

Math 63 | Graphing Functions | Students will be able to graph linear, quadratic, exponential, and logarithmic functions. |

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 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 | A student 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 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 - basic. | 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 | 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. |

Solving Linear Systems | 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. |