# Student Learning Outcomes

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

CourseSLOSuccess Indicator
Math 10Operations with NumbersSuccessful students will be able to add, subtract, multiply and divide whole numbers, decimal numbers and fractions.
Math 15Algebra BasicsSuccessful students will be able to perform operations with variable and unknown quantities
Computational SkillsSuccessful students will be proficient in arithmetic with integers, rational numbers, decimals and percents
Math 50Solve linear equationsStudents will be able to solve linear equations.
Math 50ASolve linear equationsStudents will be able to solve linear equations.
Math 52AModel real world dataStudents will be able to model real world data with an appropriate function and use the model to make inferences
Math 53Solve Linear EquationsStudents will be able to solve linear equations
Math 54Finding AveragesStudents will be able to find the mean, median and mode of a data set
Linear ModelsStudents will be able to write a linear model of a real world situation.
Math 55Congruent TrianglesStudents will be able to prove when triangles are congruent.
Math 56GraphingGraph linear, quadratic, exponential, and logarithmic function, and utilize these graphs in problem.
SolutionsDetermine 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 60Applications of FunctionsDetermine 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 SolvingGraph linear, quadratic, exponential, and logarithmic functions.
Math 63Graphing FunctionsStudents will be able to graph linear, quadratic, exponential, and logarithmic functions.
Math 100Critical thinkingUse critical thinking to arrive at conclusions from Venn Diagrams, syllogistic forms, and truth tables.
Cultural understandingRelate a knowledge of the people, and uses of mathematics throughout history of mathematics.
Principles and TechniqueApply mathematical principles and techniques to solve problems in areas such as ancient systems of numeration, set theory, and number theory.
Math 105Place ValueStudents will demonstrate an understanding of place value by counting in bases other than base ten
Math 106Area and PerimeterStudents will be able to demonstrate an understanding of the difference between area and perimeter.
Math 110College AlgebraA 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 115Applications of Right Triangle TrigonometryUse trigonometric functions to solve application problems involving unknown sides of right triangles
Trigonometric EquationsBe able to solve equations involving trigonometric functions
Trigonometric function valuesAnalytically evaluate the six trigonometric functions of angles of measures that are multiples of 30 degrees and 45 degrees.
Trigonometric IdentitiesUse basic identities to verify trigonometric identities or to simplify trigonometric expressions.
Math 120Descriptive statisticsCompute appropriate descriptive statistics.
GraphingStudents will be able to construct and interpret graphs such as bar charts, histograms and box plots.
Inferential statisticsChoose and apply inferential analyses in order to draw conclusions about a population.
Math 130Interpret derivativeStudents will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of the derivative and its applications.
Interpret IntegrationStudents will recognize, apply, and interpret multiple representations (graphic, symbolic, numerical/data, verbal/applied) of integration and its applications.
Math 135Graph functionsDemonstrate proficiency in the graphing of functions at the precalculus level.
Solve equationsSolve equations involving algebraic and transcendental functions at the precalculus level
Math 140Antiderivative - basic.Find the antiderivative of a function using basic integration rules.
LimitsEvaluate limits analytically.
OptimizationUse calculus to solve optimization problem
Rules of DerivativesFind the derivative of a function using rules of derivatives
Math 141Integration TechniquesDemonstrate proficiency in evaluating integrals using various techniques of integration.
Math 146Functions, SubroutinesDevelop a FORTRAN-90 program that contains functions and subroutines.
Sequence, Selection, IterationDevelop a FORTRAN-90 program that contains sequence, selection and iteration control structures
Math 200Demonstrate UnderstandingDemonstrate 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 SystemsSolve a linear system using appropriate methods and interpret the results.
Math 205Multivariable FunctionsPerform calculus on multivariable functions.
Vector OperationsPerform vector operations using geometry in space.
Vector Valued FunctionsPerform calculus on vector valued functions
Math 206Application of Differential EquationsSuccessful 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 245Mathematical ProofsProve a statement using one of the basic methods of proof or disprove it using a counter example.
Minimum Spanning TreeUse a standard algorithm to find a minimal spanning tree for a given graph.