100
This course presents fundamental math concepts so students can develop the foundational math skills required for subsequent college math courses. Students will utilize in-class instruction and online learning materials.
Quantitative Analysis. 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.
Quantitative Analysis. Difference Equations and Linear Equations. 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 solving systems of linear equations. 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.
Quantitative Analysis. 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.
Quantitative Analysis. 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.
Quantitative Analysis. Special Topics courses include ad-hoc courses on various selected topics that are not part of the regular curriculum, however they may still fulfill certain curricular requirements. Special topics courses are offered at the discretion of each department and will be published as part of the semester course schedule - view available sections for more information. Questions about special topics classes can be directed to the instructor or department chair.