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Palomar College Learning For Success

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.

 

CourseStudent Learning Outcome (SLO)
Math 1Apply 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 6Graph linear, quadratic, exponential, and logarithmic functions.
Solve algebraic equations. 
Demonstrate knowledge of affective domain and study skills. 
Math 11Analyze 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 13Recognize, 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 14Interpret 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 20Construct 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 50Solve linear equations: Students will be able to solve linear equations.
Math 54Finding 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 55Congruent Triangles: students will be able to prove when triangles are congruent.
Math 56Graphing: 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 60Applications 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 63Graphing Functions: students will be able to graph linear, quadratic, exponential, and logarithmic functions.
Math 100Critical 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 101Interpret slope as a rate of change. 
Use exponential growth and decay models to make predictions. 
Math 105Place Value: students will demonstrate an understanding of place value by counting in bases other than base ten
Math 106Area and Perimeter: students will be able to demonstrate an understanding of the difference between area and perimeter.
Math 110College 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 115Applications 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 120Descriptive 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 126Students 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 127Students 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 130Interpret 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 135Graph 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 140Antiderivative: 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 141Integration Techniques: demonstrate proficiency in evaluating integrals using various techniques of integration.
Math 146Functions, 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 200Demonstrate 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 205Multivariable 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 206Application 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 245Mathematical 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.

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