## Course Learning Objectives

The following are the course learning objectives for each course as outlined on each syllabus.

**Course: MAT010 Number Sense**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to simplify expressions using the order of operations.

Students will be able to translate word sentences into mathematical equations. See above.

Students will be able to perform arithmetic calculations that involve signed numbers, fractions, decimals and percents. See above.

Students will be able to solve basic proportion problems. See above.

**Course: MAT040 – Elementary Algebra**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to solve linear (first degree) equations and inequalities in one variable and their applications.

Students will be able to solve and graph linear equations and inequalities in two variables. See above.

Students will be able to solve systems of linear equations in two variables and their applications. See above.

Students will be able to add, subtract, multiply, divide, and factor polynomials. See above.

**Course: MAT100 Technical Mathematics**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Solve practical compound problems dealing with lines, angles, curves, surfaces, and solids by the use of basic algebraic manipulation, common geometric, and basic trigonometric formulas

Solve rate, man hours and gear ratio problems using basic algebraic skills and proportions. See above.

Convert between Metric and English values and convert between states using dimensional analysis See above.

**Course: MAT110 Survey of Mathematics**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M4, M5 Solve mathematical problems by using pattern recognition and inductive reasoning

M4 Approximate the solution to written and visual mathematical problems by correctly using estimation. See above.

M1, M3, M5 Demonstrate an understanding of the properties and relationships of points, lines, angles, curves, surfaces, and solids using algebra and geometric formulas. See above.

M2 Organize and sort data sets and surveys using Venn Diagrams and basic set operations. See above.

M2, M3, M4 Describe a data set using measures of central tendency and dispersion. See above.

M1, M3 Calculate basic tax amounts, commission, and interest using algebra and financial formulas. See above.

**Course: MAT115 Quantitative Mathematical Applications**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions or written projects. If questions are used, they will be inserted into regular course tests and will be evaluated independently of course evaluation. If projects are used, they will be evaluated independently of course evaluation. Questions or projects will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M1, M2 Students will be able to interpret graphical representations of data.

M3 Students will be able to model real-life applications of mathematics using formulas or functions. See above.

M4 Students will be able to solve applications utilizing tools to include proportions and percentages. See above.

M5 Students will be able to apply statistical methods to real-life applications of mathematics. See above.

**Course: MAT120 Intermediate Algebra**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M3 Students will be able to solve quadratic (second degree) equations and inequalities in one variable and their applications.

M1 Students will be able to graph quadratic functions and solve their applications. (To satisfy M1, find max/min of quadratic function.) See above.

M2, M4 Students will be able to perform operations and solve equations, inequalities, and applications involving rational expressions. (To satisfy M2, write solutions to rational inequality algebraically, write in interval notation, and graph. To satisfy M4, predict the solution for a productive or counterproductive work problem and check.) See above.

M5 Students will be able to perform operations and solve equations involving radicals. (To satisfy M5, solve equation with extraneous solution.) See above.

**Course: MAT125 Introduction to Statistics**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M4 Students will be able to describe a data set using measures of central tendency, variation, and position. (To satisfy M4, discuss reasonableness of at least one measure.)

M3 Students will be able to calculate basic probabilities, including the addition and multiplication rules. See above.

M1, M5 Students will be able to create confidence intervals and test hypotheses involving means and proportions.(To satisfy M5, α = 0 needs to be addressed as well.) See above.

M2 Students will be able to analyze bivariate data. (To satisfy M2, needs a graph, r, and a written description.) See above.

**Course: MAT130 College Algebra**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M2, M3 Students will be able to solve quadratic, rational, radical, and absolute value equations and/or inequalities. (To satisfy M2, the solution to an inequality needs to be given algebraically, graphically, in set notation or interval notation, and written.)

M5 Students will be able to compose two functions and find the inverse of a function. (To satisfy M5, discuss the restriction of the domain of the inverse of a square root function.) See above.

M4 Students will be able to graph and find the zeroes of polynomial functions. (To satisfy M4, discuss end behavior and whether graph agrees or not.) See above.

M1 Students will be able to solve exponential and logarithmic equations, and/or their applications. (To satisfy M1, explain solution to an application.) See above.

**Course: MAT135 – Trigonometry**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to solve problems using right triangle trigonometry.

Students will be able to graph trigonometric functions. See above.

Students will be able to prove trigonometric identities. See above.

Students will be able to solve trigonometric equations. See above.

**Course: MAT140 Pre-Calculus**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M3, M5 Students will be able to solve polynomial or rational, logarithmic or exponential, and trigonometric equations. (To satisfy M5, solve logarithmic with extraneous solution.)

M1 Students will be able to solve polynomial or rational, logarithmic or exponential, and trigonometric applications. See above.

M2 Students will be able to graph polynomial or rational, logarithmic or exponential, and trigonometric functions. (To satisfy M2, graph exponential function with base 2; needs table of ordered pairs and explanation.) See above.

M4 Students will be able to solve right triangles. (To satisfy M4, discuss which angle/side should be larger and whether result agrees.) See above.

**Course: MAT165 – Survey of Calculus**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to differentiate functions.

M2, M3, M4, M5 Students will be able to use the derivative to solve graphing, optimization, and related rates of change problems. See above.

Students will be able to integrate functions. See above.

M1, M2, M3, M4, M5 Students will be able to apply techniques of integration to solve problems involving area, volume, and arc length. See above.

**Course: MAT170 Calculus I**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M2 Students will be able to evaluate limits. (To satisfy M2, students must find numerically and algebraically, graph the function, and explain. Ex: x2-1/x-1 at 1)

M3 Students will be able to differentiate functions, including transcendental functions. (To satisfy M3, students must use the product, quotient, chain or general power rule.) See above.

M1 Students will be able to use the derivative to solve graphing problems. (To satisfy M1, students must know y’ determines increasing/decreasing and y” determines concavity.) See above.

M4 Students will be able to use the derivative to solve optimization or related rates of change problems. See above.

M5 Students will be able to integrate basic functions, including transcendental functions. (To satisfy M5, must explain why + c for indefinite integrals.) See above.

**Course: MAT173 – Discrete Mathematics**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to prove a statement using direct proof, proof by cases, proof by contrapositive, or proof by contradiction.

Students will be able to prove a statement using mathematical induction. See above.

Students will be able to determine the recursive formula of a sequence. See above.

Students will be able to perform set operations. See above.

Students will be able to calculate probabilities using permutations and combinations. See above.

**Course: MAT175 Calculus II**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning and general education outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

M1 Students will be able to calculate the volume and surface area of a solid of revolution. (To satisfy M1, let the function represent the contour of a vase.)

M5 Students will be able to evaluate improper integrals. (To satisfy M5, use an interior discontinuity.) See above.

M4 Students will be able to determine whether series converge or diverge. See above.

M2 Students will be able to graph parametric equations, convert between parametric and rectangular equations, or apply calculus techniques to parametric equations. (To satisfy M2, graph parametric equation; students must show order pairs and discuss orientation.) See above.

M3 Students will be able to graph polar equations, convert between polar and rectangular equations, or apply calculus techniques to polar equations. To satisfy M3, find the area of a loop, petal, cardioid, etc.) See above.

**Course: MAT210 Calculus III**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Questions will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to differentiate and integrate vector-valued functions or solve their applications.

Students will be able to differentiate several variable functions or solve their applications. See above.

Students will be able to determine whether series converge or diverge. See above.

Students will be able integrate several variable functions or solve their applications. See above.

**Course: MAT215 Ordinary Differential Equations**General Education Outcomes Program Outcomes Course Learning Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course learning outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to recognize the distinct type of differential equations and solve differential equations or their applications.

Students will be able to solve systems of first order linear differential equations. See above.

Students will be able to use series to solve differential equations. See above.

Students will be able to compute transforms or use transforms to solve differential equations. See above.

Students will be able to demonstrate the algebra of differential operators or use differential operators to solve differential equations. See above.

**Course: MAT220 – Linear Algebra**General Education Outcomes Program Outcomes Course Outcomes Assessment Measure(s) Anticipated Result (Criteria)

Course outcomes will be assessed by a series of test questions. The questions will be inserted into regular course tests and will be evaluated independently of course evaluation. Problems will be scored using the rubric: Completely correct, CC - exceeding the standard Generally correct, GC – meeting the standard Partially correct, PC – approaching the standard Incorrect, IC – not meeting the standard

Students will be able to use the techniques of row reduction to solve linear systems.

Students will be able to carry out matrix operations and apply the rules of matrix algebra. See above.

Students will be able to solve vector equations or matrix equations. See above.

Students will be able to compute the value of a determinant, demonstrate the properties of determinants, or apply determinants. See above.

Students will be able to demonstrate the definitions, theorems, classifications, or properties of vector spaces. See above.