Computer Science Courses
A comprehensive study of elementary functions to prepare students for a college course in calculus. Topics include a review of intermediate algebra including the solution of equations and inequalities, and an in-depth look at functions, inverse functions, their graphs, symmetries, asymptotes, intercepts, and transformations. Linear, polynomial, rational, radical, exponential, logarithmic, and trigonometric functions are studied, and graphing calculators are used extensively.
Introductory college mathematics course in finite difference equations and linear algebra. Topics include sequences, differences, linear and nonlinear difference equations, systems of difference equations, numerical solutions of linear and nonlinear equations, and analytical techniques for solving linear systems using linear algebra. Applications from many fields are studied and the role of mathematical modeling is a central focus. Formal computer labs are a part of the course each week, with spreadsheets being the primary software employed. This course satisfies a Carroll College Core Curriculum for all students and the mathematics requirement for business majors.
This is the first of a two-semester, six-credit calculus sequence. We begin the first semester by reviewing functions from several perspectives (symbolic, numeric, and graphic). For most of the course we study differential calculus, emphasizing how we can use calculus to understand real-world problems such as police radar detection, laying an oil pipeline around a swamp, and understanding motion. Specific topics include limits, continuity, derivatives, the mechanics of finding derivatives, instantaneous rate of change, concavity, the extreme value theorem, and optimization. We use technology extensively, and we also focus on learning how to explain mathematics orally and in writing. The sequence MA 121-MA 122 is considered to be equivalent to MA 131.
This is the second of a two-semester, six-credit calculus sequence. In this course we study topics in integral calculus, emphasizing how we can use calculus to understand real-world problems such as fluid pumping and lifting, how rain catchers are used in city drain systems, and how a compound bow fires an arrow. Specific topics include optimization, related rates, antiderivatives, definite integrals, the fundamental theorems of calculus, integration by substitution, integration by parts, applications of integration, and an introduction to differential equations. We use technology extensively, and we also focus on learning how to explain mathematics orally and in writing. The sequence MA 121-MA 122 is considered to be equivalent to MA 131.
This course covers all aspects of single-variable calculus including derivatives, antiderivatives, definite integrals, and the fundamental theorem of calculus. We highlight how we can use calculus to understand real-world problems such as laying an oil pipeline around a swamp, fluid pumping and lifting, and how rain catchers are used in city drain systems. We use technology extensively, meeting in the computer lab once each week. We also focus on learning how to explain mathematics orally and in writing. This is the same material that is covered in MA 121-122, except this is an accelerated course that does not review precalculus material.
This course is an introduction to sequences, difference equations, differential calculus, differential equations, and linear algebra. This is the first course in a two semester, eight credit, sequence in differential equations and linear algebra. Specific topics include analytical and numerical solutions to difference equations and first-order and second-order linear differential equations, separation of variables, the method of undetermined coefficients, phase line analysis, stability of equilibrium, systems of equations, matrix equations, determinants, matrix inverses, Gaussian elimination, and eigenvalues and eigenvectors. There is a heavy emphasis on mathematical modeling and applications. We use technology extensively, and we also focus on learning how to explain mathematics orally and in writing. Prerequisite: High school mathematics through pre-calculus. A basic understanding of differential calculus is strongly recommended.
In this course we study multivariable and vector calculus including vectors, parametric equations, surfaces, partial differentiation, multiple integrals, and vector calculus. The big spotlight in this course is using these ideas to understand things like force fields, the flow of water, and magnetic fields. Once a week we meet in the computer lab to use the power of computers to focus on the visual aspects of these concepts to gain insight into more complex situations. We also focus on learning how to explain mathematics verbally and in writing.