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# Student Learning Outcomes

Discipline: Natural Sciences: Math
Course Name Course Number
Assembly Language/Machine Architecture CSCI 150
• Students will be able to manipulate data at the bit and byte levels.
• Students will be able to identify the components of a computer and the organization of those components.
• Students will be able to describe disk storage systems and file systems.
• Students will be able to use assembly language instructions to write small programs.
C++ Language and Object Development CSCI 140
• Students will be able to read, understand and trace the execution of programs written in C++ language.
• Students will be able to use given classes and virtual functions in a class hierarchy to create new derived classes and the code that uses them.
• For a given algorithm students will be able to write modular C++ code using classes in an OOP approach.
• Students will be able to analyze problems and design algorithms in pseudocode.
Calculus and Analytic Geometry Math 180
• Students can differentiate algebraic and transcendental functions
• Students can solve optimization problems.
• Students can compute instantaneous rates of change in applications
• Students can evaluate integrals of elementary functions using the method of substitution.
Calculus and Analytic Geometry Math 181
• Students can integrate algebraic and transcendental function using a variety of techniques
• Students can apply the definite integral to applications.
• Students can determine convergence of infinite series of various forms using various techniques.
• Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.
Calculus and Analytic Geometry Math 280
• Students can analytically describe the physical states of objects with mass traveling in three dimensions.
• Students can compute partial and directional derivatives for functions of several variables
• Students can apply partial derivatives to optimization problems.
• Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.
Calculus and Analytic Geometry Math 180
• Students can evaluate integrals of elementary functions using the method of substitution.
• Students can compute instantaneous rates of change in applications.
Calculus and Analytic Geometry Math 181
• Students can integrate algebraic and transcendental function using a variety of techniques.
• Students can apply the definite integral to applications.
Calculus and Analytic Geometry Math 280
• Students can compute partial and directional derivatives for functions of several variables.
• Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.
Calculus for Business Math 140
• 1. Students will understand the use of the derivative and be able to accurately differentiate a given function as suggested by the notation and/or the wording of the problem. 2. Students will understand the use of the integral and will be able to accurately integrate a given function as suggested by the notation and/or the wording of the problem.
• Students will understand the use of the derivative and be able to accurately differentiate a given function as suggested by the notation and/or the wording of the problem.
• Students will understand the use of the integral and will be able to accurately integrate a given function as suggested by the notation and/or the wording of the problem.
College Algebra Math 130
• Students will be able to simplify an expression that is either polynomial, rational, radical, exponential or logarithmic.
• Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
• Students will be able to graph a function (or relation) that is either polynomial, rational, exponential or logarithmic.
Data Structures I CSCI 220
• CS students feel they have the resources necessary for their success.
• Students will feel that computer science is a beneficial part of their education
• Analyze problems and select the appropriate data structure.
• Design the most efficient data structure for solving a problem.
• Implement the data structure through effective C++/Java code.
• Utilize effective search, insertion and deletion algorithms.
• Demonstrate effective debugging techniques.
• Write and organize documentation for data structures.
• Estimate running time for the algorithm studied in class or new algorithms.
• Students will be able to implement and use linear data structures including lists.
Data Structures II CSCI 230
• CS students feel they have the resources necessary for their success.
• Students will feel that computer science is a beneficial part of their education
• Analyze algorithms and select the most efficient one to solve a problem.
• Implement sorting algorithms.
• Implement hashing algorithms.
• Use self-organizing lists in problem solving.
• Students will be able to represent graphs and implement well-known graph algorithms.
• Estimate running time for sort, search, and graph algorithms.
• Identify main memory access and disk access costs.
• Utilize object-oriented techniques in design of data structures and algorithms.
Differential Equations MATH 290
• Students can solve the following ordinary differential equations (ODEs): separable, first order linear, homogeneous, Bernoulli, and exact.
• Students can solve linear ODEs of order n with constant coefficients.
• Students can solve linear initial value problems with constant coefficients using Laplace transform.
Discrete Mathematics Applied to Computer Science CSCI 190
• Students will be able to understand the terminology of finite graphs and trees and use the basic algorithms for traversal, shortest path, graph coloring.
• Students will be able to use basic counting techniques, combinatorics concepts and binomial coefficients.
• Students will be able to use truth table for propositional calculus.
• Students will be able to use math induction and recursive definitions and algorithms.
Elementary Algebra Math 51
• Solve linear equations and inequalities, rational equations, and equations involving radicals.
• Solve quadratic equations using the methods of factoring, completing the square, and the quadratic formula.
• Graph solutions of linear equations in the Cartesian Coordinate System.
• Write equations of lines given specific information about the line.
• Solve and graph solutions of linear inequalities in one and two variables.
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Students will be able to solve a wide variety of equations without being given the type of equation.
• Communicate effectively in mathematical language.
• Simplify algebraic expressions including linear, quadratic, rational, and radical.
• Solve systems of linear equations.
• Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring.
• Develop problem-solving techniques by solving a wide variety of applications.
• Students will be able to factor a wide variety of polynomials.
Elementary Algebra - First Half Math 51A
• Students will be able to solve a wide variety of equations without being given the type of equation.
• Students will be able to factor a wide variety of polynomials.
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Communicate effectively in mathematical language.
• Simplify algebraic expressions, including linear and rational.
• Solve linear equations and inequalities.
• Perform operations with polynomials, including adding, subtracting, multiplying, dividing, and factoring.
• Solve rational equations.
• Develop problem solving skills.
Elementary Algebra - Second Half Math 51B
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Communicate effectively in mathematical language.
• Simplify algebraic expressions including linear, quadratic, rational, and radical.
• Solve linear equations and inequalities, rational equations, and equations involving radicals.
• Perform operations with polynomials including adding, subtracting, multiplying, dividing, and factoring.
• Develop problem solving techniques by solving a wide variety of applications.
• Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
• Solve quadratic equations using methods of factoring, completing the square, and the quadratic formula.
• Graph solutions of linear equations in the Cartesian Coordinate System.
• Write the equation of a line given specific information about the line.
• Solve and graph solutions of linear inequalities in one and two variables.
• Solve systems of linear equations.
Elementary Statistics Math 110
• Assess how data were collected and recognize how data collection affects what conclusions can be drawn from the data. Identify appropriate graphs and summary statistics for variables and relationships between them and correctly interpret information from graphs and summary statistics.
• Describe and apply probability concepts and distributions.
• Identify appropriate statistical techniques and use technology-based statistical analysis to describe, interpret, and communicate results. Evaluate ethical issues in statistical practice.
• Demonstrate an understanding of, and ability to use, basic ideas of statistical processes, including hypothesis tests and confidence interval estimation.
Elementary Statistics -Honors Math 110H
• Students will be able to use sample statistics to develop a confidence interval for population parameters. Using sample statistics from one or more samples, students will be able to test a claim made about a population parameter.
• Assess how data were collected and recognize how data collection affects what conclusions can be drawn from the data. Identify appropriate graphs and summary statistics for variables and relationships between them and correctly interpret information from graphs and summary statistics.
• Describe and apply probability concepts and distributions.
• Identify appropriate statistical techniques and use technology-based statistical analysis to describe, interpret, and communicate results. Evaluate ethical issues in statistical practice.
Essential Topics from Elementary Algebra MATH 7
• Students feel that Math 7 has improved their overall mathematical understanding and ability in Math 71.
• Math 7 students will be able to graph lines and write equations of lines given specific information about the lines.
• Math 7 students will be able to solve a variety of equations and inequalities in one variable.
Essential Topics from Intermediate Algebra MATH 13
• Students feel that Math 13 has improved their overall mathematical understanding and ability in Math 130.
• Math 13 students will improve their ability to solve polynomial, rational, radical, exponential, and logarithmic equations.
• Math 13 students will improve their ability to graph linear, quadratic, polynomial, rational, exponential, and logarithmic functions.
• Math 13 students will improve their understanding of functions, function notation, and relations at the college algebra level.
Essential Topics from Pre Algebra MATH 5
• Math 5 students will be able to perform operations with polynomials and rational expressions.
• Students feel that Math 5 has improved their overall mathematical understanding and ability in Math 51.
• Math 5 students will be able to solve linear equations having integer, decimal, and rational coefficients.
Essential Topics from Precalculus MATH 18
• Students feel that Math 18 has improved their overall mathematical understanding and ability in Math 180.
• Math 18 students will be able to construct mathematical models and solve optimization and related rates problems.
• Math 18 students will be able to analyze functions—including sign testing, intervals of increase and decrease, and zeros—to sketch graphs.
Finite Mathematics Math 120
• Students will be able to solve a linear programming problem using the geometric approach
• Students will be able to solve a binomial probability distribution problem.
Fundamentals of Computer Science CSCI 110
• For a given algorithm students will be able to write the C++ code using a modular approach.
• Students will be able to use data representation for the fundamental data types and perform conversions between binary-hexadecimal-decimal representations.
• Students will be able to read, understand and trace the execution of programs written in C++ language.
• Students will be able to use and differentiate between basic concepts of computer hardware and software.
Integrated Intermediate Algebra Math 70S
• Students will distinguish observational from experimental research studies and give appropriate conclusions to them.
• Students will graph linear equations.
• Students will describe the characteristics of the distribution of a quantitative variable.
• Solve problems involving the simplification of linear, quadratic, rational, radical, exponential and logarithmic functions.
• Solve problems involving the interpretation of linear, quadratic, rational radical, exponential and logarithmic graphs.
• Solve linear, quadratic, rational, radical, exponential, and logarithmic equations. Solve linear systems of equations.
• Solve linear inequalities.
• Graph functions of linear, quadratic, radical, exponential, and logarithmic forms.
• Use correct statistical terminology and notation.
• Answer questions regarding observational and experimental statistical studies.
• Summarize univariate statistical data graphically and numerically.
Intermediate Algebra Math 71
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Solve literal equations.
• Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
• Solve applications involving the quadratic equations.
• Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
• Solve applications using equations in one variable.
• Define a function and its domain and range.
• Find the domain of a function involving rational or radical expressions.
• Perform operations on functions.
• Solve polynomial and rational inequalities.
• Solve compound inequalities.
• Solve non-linear systems in two variables.
• Solve linear systems in two and three variables.
• Solve applications using linear systems.
• Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems.
• Find the equation of a line given facts about the line.
• Use the rules for exponents to simplify expressions.
• Add, subtract, multiply, divide, and factor polynomials.
• Simplify and perform operations on rational expressions.
• Simplify complex fractions.
• Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
• Rationalize denominators.
• Evaluate and perform operations on exponential and logarithmic functions.
• Find the inverse of a function.
• Find the values of a sequence.
• Evaluate series.
• Apply the binomial theorem.
• Students will be able to solve a wide variety of equations without being told what type of equation they are solving.
Intermediate Algebra - First Half Math 71A
• Math students feel they have the resources necessary for their success.
• Solve the following types of equations in one variable: polynomial, absolute value, and rational.
• Solve applications involving polynomial and rational equations.
• Students will feel that mathematics is a beneficial part of their education
• Solve literal equations.
• Define a function and its domain and range.
• Find the domain of a function involving rational expressions.
• Perform operations on functions.
• Solve linear inequalities.
• Solve linear inequalities.
• Solve compound inequalities.
• Solve linear systems in two and three variables.
• Solve applications using linear systems.
• Construct, interpret and analyze graphs for the following: linear and quadratic equations, linear inequalities, and linear systems
• Find the equation of a line given facts about the line.
• Use the rules for exponents to simplify expressions.
• Add, subtract, multiply, divide, and factor polynomials.
• Simplify and perform operations on rational expressions.
• Simplify complex fractions.
• Students will be able to factor a wide variety of polynomials.
Intermediate Algebra - Second Half Math 71B
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Students will be able to solve a wide variety of equations without being told what type of equation they are solving
• Solve the following types of equations in one variable: polynomial, absolute value, rational, radical, exponential, and logarithmic.
• Solve applications using equations in one variable.
• Use the square root property, completing the square, quadratic formula, and factoring methods to solve quadratic equations and others that are quadratic in form.
• Solve applications involving the quadratic equations.
• Solve literal equations.
• Define a function and its domain and range.
• Find the domain of a function involving rational or radical expressions.
• Perform operations on functions.
• Solve polynomial and rational inequalities.
• Solve compound inequalities.
• Solve non-linear systems in two variables.
• Solve linear systems in two and three variables.
• Construct, interpret and analyze graphs for the following: linear and quadratic equations, conic sections, linear inequalities, exponential and logarithmic functions, and both linear and non-linear systems.
• Find the equation of a line given facts about the line.
• Use the rules for exponents to simplify expressions.
• Add, subtract, multiply, divide, and factor polynomials.
• Simplify and perform operations on rational expressions.
• Simplify complex fractions.
• Evaluate and perform operations on radical terms, expressions containing rational exponents, and complex numbers.
• Rationalize denominators.
• Evaluate and perform operations on exponential and logarithmic functions.
• Find the inverse of a function.
• Find the values of a sequence.
• Evaluate series.
• Apply the binomial theorem.
Java Language and Object Oriented Programming CSCI 145
• Students will be able to analyze problems and design appropriate algorithms.
• Students will be able to use existing Java classes to perform required tasks.
• Students will be able to code provided algorithms using Java language.
• Students will be able to provide code for a Java class given objects’ attributes and behaviors.
Linear Algebra MATH 260
• Students can solve problems pertaining to eigenvalues and eigenvectors.
• Students can solve problems pertaining to the definitions of vector space, subspace, span, linear independence and dependence.
• Students can solve problems pertaining to the definitions of linear transformation, kernel, and range.
Linear Algebra and Differential Equations Math 285
• Identify and solve the following ordinary differential equations (ODEs): separable, 1st order linear. Set up and solve differential equations for the following applications: simple and logistic population growth model, simple electric circuits, mixing, orthogonal trajectories. Plot slope fields and numerically solve 1st order differential equations using Euler's and Runga Kutta methods.
• Demonstrate the operations of matrix algebra, row operations for linear systems, and the methods of Gaussian Elimination and matrix inversion for solving linear systems.
• Evaluate determinants using cofactors and row operations. Demonstrate the properties of determinants and matrix inversion using cofactors.
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality.
• Solve ODEs using power series.
• Solve problems pertaining to the definitions of vector space, subspace, span, linear dependence and independence, basis and dimension, row and column space and inner product space. Demonstrate the use of the Gram-Schmidt process for orthogonalization.
• Solve problems pertaining to the definitions of linear transformation, kernel and range. Compute eigenvalues and eigenvectors. Diagonalize a square matrix, with the special case of orthogonal diagonalization of symmetric matrices. Demonstrate matrix representation of a linear transformation, change of bases. 6. Solve linear differential equations of order n with constant coefficients (homogeneous or non-homogeneous,) the methods of undetermined coefficients and variation of parameters with applications to RLC circuits or mass spring systems.
• Express a linear system of differential equations in vector form, and then solve the system using eigenvalues and eigenvectors. Analyze non-linear systems numerically, including phase-plane analysis, using a computer algebra system.
• Apply the Laplace Transform and its inverse, using the rules of the Laplace Transform, along with the 1st Shifting Theorem. Solve linear differential equations with constant coefficients using the Laplace Transform.
Plane Geometry Math 61
• Apply properties of ratio, proportion and similarity.
• Apply the properties of geometric figures (angles, triangles, quadrilaterals, circles, etc.).
• State and use geometric formulas (areas, Pythagorean Theorem, angles, arcs, etc.).
• Given a statement, students will be able to make a drawing and write the hypothesis and conclusion using math notation pertinent to the drawing.
• Students can write a formal geometric proof.
• Deduce conclusions logically by reasoning from definitions, assumptions and theorems in formal and informal, direct and indirect proofs.
• State and use geometric definitions.
• Perform fundamental geometric constructions using a compass and straightedge.
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
Practical Intermediate Algebra Math 71X
• Demonstrate in writing changes of units and other applications of ratios and proportions.
• Isolate variables in equations of linear, quadratic, rational, radical, exponential, and logarithmic forms.
• Math students feel they have the resources necessary for their success.
• Model real-world phenomena using least-squares methods for data which approximate linear, quadratic, rational, radical, exponential, and logarithmic functions.
• Students will feel that mathematics is a beneficial part of their education
• Apply algebraic analysis to functions described above and give real-world meaning to intercepts, slope, asymptotes, and extrema.
• Use infinite series to model and quantify real-world phenomena.
• Use data gathering instruments to sample data for curve fitting.
Pre-Algebra Math 50
• Math 50 students will be able to simplify expressions.
• Math 50 students will be able to solve a linear equation.
• Math students feel they have the resources necessary for their success.
• Students will feel that mathematics is a beneficial part of their education
• Demonstrate mastery of relevant vocabulary and notation.
• Use the order of operations to simplify any arithmetic problem involving whole numbers, integers, and rational numbers in both fraction and decimal form.
• Simplify algebraic expressions with any rational number coefficient (includes the ability to evaluate algebraic expressions and formulas involving any rational number.)
• Simplify and approximate square roots, and use them in application of the Pythagorean Theorem.
• Plot points and graph equations in two variables.
• Determine factors and divisibility of any integer, identify prime numbers, and determine the least common multiple of any combination of whole numbers.
• Solve any linear equation with rational coefficients, and apply this ability in solving word problems.
• Evaluate ratios and percents, convert between percent and rational numbers, and solve equations and applications involving proportions and percents.
• Find perimeter and area of geometric figures.
Precalculus Mathematics Math 160
• Students will be able to solve different types of trigonometric equations.
• Students will be able to analyze a variety of functions.
Special Projects in Mathematics Math 99
• Math students feel they have the resources necessary for their success.
• Prepare and present a report on the findings on the project topic.
• Students will feel that mathematics is a beneficial part of their education
• Develop a project in the area of interest.
• Establish a contract with the professor regarding student assessment and the professor's expectations.
• Show knowledge of material after pursuing a program of independent reading from a list of references provided by the instructor.
• Engage in scholarly research in the area of mathematics.
Survey of College Mathematics Math 100
• A Math 100 student will be able to use a Venn diagram to count.
• Students will be able to determine the validity of an argument.
Trigonometry Math 150
• Without the use of a calculator, students will be able to graph the six trigonometric functions in a precise manner, stating the period, amplitude, phase shift, and translation as appropriate.
• The student will be able to accurately solve trigonometric equations over a given interval, including equations that use multiple angles, identities, and quadratic forms.