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Student Learning Outcomes

Discipline: Degree: AA - Liberal Arts Emphasis Math - A8989
Course Name Course Number
C++ Language and Object Development CSCI 140
  • 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.
  • Students will be able to read, understand and trace the execution of programs written in C++ language.
Calculus and Analytic Geometry Math 280
  • Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.
  • Students can apply partial derivatives to optimization problems.
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
  • Students can solve optimization problems.
  • Students can differentiate algebraic and transcendental functions
Calculus and Analytic Geometry Math 280
  • Students can compute partial and directional derivatives for functions of several variables
  • Students can analytically describe the physical states of objects with mass traveling in three dimensions.
Calculus and Analytic Geometry Math 181
  • Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.
  • Students can determine convergence of infinite series of various forms using various techniques.
  • Students can apply the definite integral to applications.
  • Students can integrate algebraic and transcendental function using a variety of techniques
Calculus for Business Math 140
  • 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.
  • 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 simplify an expression that is either polynomial, rational, radical, exponential or logarithmic.
  • Students will be able to graph a function (or relation) that is either polynomial, rational, exponential or logarithmic.
  • Students will be able to solve an equations that is either polynomial, rational, radical, exponential, logarithmic, or literal.
Fundamentals of Computer Science CSCI 110
  • Students will be able to read, understand and trace the execution of programs written in C++ language.
  • For a given algorithm students will be able to write the C++ code using a modular approach.
  • Students will be able to use and differentiate between basic concepts of computer hardware and software.
  • Students will be able to use data representation for the fundamental data types and perform conversions between binary-hexadecimal-decimal representations.
Java Language and Object Oriented Programming CSCI 145
  • Students will be able to analyze problems and design appropriate algorithms.
  • 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.
  • Students will be able to use existing Java classes to perform required tasks.
Linear Algebra and Differential Equations Math 285
  • Demonstrate the operations of matrix algebra, row operations for linear systems, and the methods of Gaussian Elimination and matrix inversion for solving linear systems.
  • 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.
  • Students can prove and apply facts regarding vector spaces, subspaces, linear independence, bases, and orthogonality.
  • Students will feel that mathematics is a beneficial part of their education
  • Math students feel they have the resources necessary for their success.
  • Evaluate determinants using cofactors and row operations. Demonstrate the properties of determinants and matrix inversion using cofactors.
  • 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.
  • 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.
  • 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.
  • 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 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.
Trigonometry Math 150
  • 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 functions in a precise manner, stating the period, amplitude, phase shift, and translation as appropriate.