Dept Secretary:**Jonathan Gallay**

Email:gallayjr@piercecollege.edu

Phone:(818) 719 - 6468

Department Chair: **Sheri Lehavi**

# SLO Assessment

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### Math 103– How to Succeed at Math

Upon successful completion of the course the student will be able to analyze and improve his/her study skills.

**Math 105 – Arithmetic**

Upon successful completion of the course the student will be able to perform a real-world task requiring Arithmetic that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Arithmetic level may include but are not limited to: a) Choosing the correct arithmetic operation and performing the calculations required to solve applied problems, b) Performing calculations with, converting between, or comparing common fractions, decimals, and percents in the context of applications, c) Solving problems involving perimeter, area, and volume.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 110 – Introduction to Algebraic Concepts**

Upon successful completion of the course the student will be able to perform a real-world task requiring Introductory Algebraic Concepts that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Introductory Algebraic Concepts level may include but are not limited to: a) Reading graphs, reading verbal descriptions, writing simple algebraic expressions, and/or using estimation to answer questions about real-life situations, b) Performing operations with signed numbers, fractions, decimals, and percents, including simplifying expressions and solving equations.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 112 – Prealgebra**

Upon successful completion of the course the student will be able to perform a real-world task requiring Prealgebra mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Prealgebra level may include but are not limited to: a) Reading graphs, reading verbal descriptions, writing simple algebraic expressions, and/or using estimation to answer questions about real-life situations, b) Performing operations with signed numbers, fractions, decimals, and percents, including simplifying expressions and solving equations.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 115 – Elementary Algebra**

Upon successful completion of the course the student will be able to perform a real-world task requiring Elementary Algebra mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Elementary Algebra level may include but are not limited to: a) Analyzing, constructing, and interpreting graphs of linear equations and applying these abilities to interpret graphs in the real-world, b) Modeling and solving real-world mathematics problems stated in words (word problems) whose solutions require formulating and solving either a linear equation with one variable, or a system of two linear equations in two variables, c) Solving linear and quadratic equations in one variable, and solving equations containing algebraic fractions in one variable.

Math 115 and 125 SLOs are assessed using the MET, our common final exam.

**Math 120 – Geometry**

Upon successful completion of the course the student will be able to perform a real-world task requiring Geometry that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Geometry level may include but are not limited to: a) Using postulates and theorems involving congruent and/or similar triangles, parallel lines, and circles to determine unknown measurements from given measurements, b) Employing deductive reasoning to construct a geometric proof with reasons for key steps, or to classify geometric objects as to satisfying or not satisfying a given definition.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 125 – Intermediate Algebra**

Upon successful completion of the course the student will be able to perform a real-world task requiring Intermediate Algebra mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Intermediate Algebra level may include but are not limited to: a) Representing and analyzing basic functions and their applications using tables, graphs, and equations, b) Using and interpreting function notation in both algebraic and graphical contexts, c) Writing and analyzing linear models for functions with constant rate of change, d) Graphing linear equations and interpreting slope as a rate of change in real world situations, e) Modeling problems involving two or more unknowns by writing and solving systems of equations or inequalities, f) Formulating and analyzing quadratic models, such as projectile motion, revenue functions, problems involving area or the Pythagorean theorem, and applications of conic sections, such as planetary orbits, g) Applying and interpreting exponential models such as population growth and compound interest, and logarithmic scales such as pH and earthquake magnitude, h) Using exponents and radicals to analyze power function models in applications such as direct and inverse variation and allometry (scaling in Physiology).

Math 115 and 125 SLOs are assessed using the MET, our common final exam.

**Math 215 – Principles of Mathematics I **

Upon successful completion of the course the student will be able to perform a real-world task requiring Mathematics for Elementary School Teachers that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Mathematics for Elementary School Teachers level may include but are not limited to: Giving clear explanations of both conceptual and procedural basis of arithmetic algorithms and applying them in several different ways as well as recognizing them in various forms.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 227 – Statistics**

Upon successful completion of the course the student will be able to perform a real-world task requiring Statistics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Statistics level may include but are not limited to: a) Interpreting graphical displays and numerical summaries of data, b) Identifying common sources of (statistical) bias in surveys and experiments, c) Distinguishing among measures of central tendency (mean, median, mode) as well as their appropriate applications - in particular, how they can be misused, d) Constructing a correct inference via a confidence interval or a hypothesis test and interpreting the results as well as the interconnection between the two inferences, e) Using a graphing calculator or statistical software for calculations needed for statistical analysis.

Example SLO quizzes: Fall 2011,

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**Math 228A– Statistics Pathway Part I **

Upon successful completion of the course the student will be able to perform a real-world task requiring Statistics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Statistics Pathway Part 1 level may include but are not limited to: a) Interpreting graphical displays and numerical summaries of data, b) Identifying common sources of (statistical) bias in surveys and experiments, c) Distinguishing among measures of central tendency (mean, median, mode) as well as their appropriate applications - in particular, how they can be misused, d) Analyzing, constructing, and interpreting graphs of linear equations and applying these abilities to interpret graphs in the real-world, e) Using a graphing calculator or statistical software for calculations needed for statistical analysis.

**Math 228B– Statistics Pathway Part II **

Upon completion of the course the student will be able to perform a real-world task requiring Statistics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Statistics Pathway Part 2 level may include but are not limited to: a) Interpreting graphical displays and numerical summaries of data, b) Identifying common sources of (statistical) bias in surveys and experiments, c) Distinguishing among measures of central tendency (mean, median, mode) as well as their appropriate applications - in particular, how they can be misused, d) Analyzing, constructing, and interpreting graphs of linear equations and applying these abilities to interpret graphs in the real-world, e) Using a graphing calculator or statistical software for calculations needed for statistical analysis, f) Constructing a correct inference via a confidence interval or a hypothesis test and interpreting the results as well as the interconnection between the two inferences.

**Math 238 – Calculus for Business and Social Science I **

Upon successful completion of the course the student will be able to perform a real-world task requiring Business Calculus mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Business Calculus level may include but are not limited to: a) Using and interpreting the derivative in algebraic, graphical, and numerical contexts to model and solve problems such as optimization of cost, revenue, and profit, b) Approximating or exactly evaluating and interpreting the integral in algebraic, graphical, and numerical contexts to model and solve summation application problems such as distance traveled, average value, total change, or producer and consumer surplus.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 240 – Trigonometry**

Upon completion of the course the student will be able to perform a real-world task requiring Trigonometry that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Trigonometry level may include but are not limited to: a) Using the trig ratios (sine, cosine, and tangent) and standard trigonometric identities to solve applied problems involving triangles, b) Using the sine and cosine functions of real numbers to model periodic processes and to solve applied problems involving periodic phenomena.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 245 – College Algebra**

Upon successful completion of the course the student will be able to perform a real-world task requiring College Algebra mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the College Algebra level may include but are not limited to: Choosing an appropriate basic model (e.g. linear, quadratic, exponential, power, etc.) for an applied situation, finding the equation(s) for that model, and solving equations to answer questions about the original situation.

Example SLO quizzes: Fall 2011

**Math 260 – Precalculus**

Upon successful completion of the course the student will be able to perform a real-world task requiring Precalculus mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Precalculus level may include but are not limited to: a) Choosing an appropriate basic function (e.g. linear, piecewise, exponential, trigonometric, power, etc.) to model an applied situation and formulating conclusions about the original situation, b) Recognizing and evaluating functions, including inverse, polynomial and rational functions, and demonstrating knowledge of transformations and compositions of functions, c) Recognizing, graphing and calculating with polar coordinates.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 261 – Calculus I**

Upon successful completion of the course the student will be able to perform a real-world task requiring Calculus I mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Calculus I level may include but are not limited to: a) Using and interpreting the derivative algebraically, graphically, and numerically to model rates of change in physical phenomena (e.g. velocity, acceleration, population growth, rates of change when the independent variable is not time) and in other quantifiable contexts (e.g. marginal analysis in economics, slope of a graph), b) Using and interpreting the integral algebraically, graphically, and numerically to model summation in physical phenomena (e.g. distance traveled) and other quantifiable situations (e.g. average value, net change, and areas and volumes of geometrical figures and solids, respectively).

Example SLO quizzes: Fall 2011, Fall 2012

**Math 262 – Calculus II**

Upon successful completion of the course the student will be able to perform a real-world task requiring Calculus II mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Calculus II level may include but are not limited to: Modeling and solving an applied problem by formulating a definite integral and evaluating the integral using an appropriate algebraic technique (e.g. substitution, integration by parts) or using numerical techniques (e.g. Simpson’s Rule or Taylor polynomials).

Example SLO quizzes: Fall 2011, Fall 2012

**Math 263 – Calculus III**

Upon successful completion of the course the student will be able to perform a real-world task requiring Calculus III mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Calculus III level may include but are not limited to: a) Using vectors, directional derivatives, the gradient, and optimization to analyze multivariable models of real‐world applications, b) Formulating and evaluating integrals (including line and flux integrals) of multivariable functions (and vector fields) over a variety of regions, and interpreting the results in an applied context.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 270 – Linear Algebra**

Upon successful completion of the course the student will be able to perform a real-world task requiring Linear Algebra mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Linear Algebra level may include but are not limited to: a) Performing elementary matrix and vector operations in Euclidean n-space and using them in applications, b) Solving a system of linear equations using matrix methods.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 275 – Ordinary Differential Equations**

Upon successful completion of the course the student will be able to perform a real-world task requiring Ordinary Differential Equations mathematics that demonstrates meaningful application of essential knowledge and skills. Examples of essential knowledge and skills at the Ordinary Differential Equations level may include but are not limited to: Modeling an applied problem by formulating a differential equation or system of differential equations, and solving with an appropriate algebraic, numerical, and/or graphical technique.

Example SLO quizzes: Fall 2011, Fall 2012

**Math 185 – DIRECTED STUDY - MATHEMATICS**

Upon successful completion of Math 185, the student will be able to use a mathematical model to solve a real-world problem.

**Math 285 – DIRECTED STUDY - MATHEMATICS **

Upon successful completion of Math 285, the student will be able to use a mathematical model to solve a real-world problem.

**Math 385 – DIRECTED STUDY - MATHEMATICS **

Upon successful completion of Math 385, the student will be able to use a mathematical model to solve a real-world problem.