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Student Learning Outcomes

Discipline: Natural Sciences: Math

Course Name	Course Number	Objectives
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 analyze problems and design algorithms in pseudocode. 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 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.
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 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 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 for Business	Math 140	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. 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.
College Algebra	Math 130	Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
Differential Equations	MATH 290	Students can solve the following ordinary differential equations (ODEs): separable, first order linear, homogeneous, Bernoulli, and exact.
Discrete Mathematics Applied to Computer Science	CSCI 190	Students will be able to use truth table for propositional calculus. Students will be able to use math induction and recursive definitions and algorithms. 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.
Elementary Statistics	STAT C1000	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	STAT C1000H	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. 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. 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.
Essential Topics from Intermediate Algebra	MATH 13	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. 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.
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.
Intermediate Algebra	Math 71	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. 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. Math students feel they have the resources necessary for their success. Students will feel that mathematics is a beneficial part of their education 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.
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 linear transformation, kernel, and range. The following items were examined: Do students know the definition of the kernel to a linear transformation? Given such a transformation can students correctly encode the transformation into a coefficient matrix? Can students effectively transform the matrix via row operations into a reduced matrix and properly decode the reduced matrix into an appropriate subspace description of the kernel? Score of 0) No attempt, 1) approach recognizes the definition of the kernel, 2) approach correctly applies appropriate row reduction, 3) student obtains the correct number of free variables and correctly constructs a viable representation of the kernel subspace, and 4) the student completes the problem perfectly with only minor computational errors and no conceptual mistakes. Success: At least 70% of students will score above a two
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 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. Solve ODEs using power series.
Precalculus Mathematics	Math 160	Students will be able to analyze a variety of functions. Students will be able to solve different types of trigonometric equations.
Special Projects in Mathematics	Math 99	Math students feel they have the resources necessary for their success. 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. 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.
Support Topics for Survey of College Mathematics	MATH 10A	Students feel that Math 10A has improved their overall mathematical understanding and ability in Math 100.
Survey of College Mathematics	Math 100	A Math 100 student will be able to use a Venn diagram to count.
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. Without the use of a calculator, students will be able to graph the six trigonometric function in a precise manner, stating the amplitude, phase shift, and translation as appropriate.

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