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Course Criteria
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3.00 Credits
The course is designed for students who have studied elementary algebra and who need additional knowledge and skills for success in college algebra, precalculus, and other college courses that require mathematics. The course affords a transition between elementary algebra and college algebra and provides a solid foundation in the basic algebraic concepts of algebra. The emphasis throughout the course is on skill development and problem solving through the use of applications. Topics include linear equations and inequalities, quadratic equations, graphing, rational expressions, functions, exponents, radicals, parabolas, and systems of linear equations.
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3.00 Credits
This is an applications-based course that continues with the mathematical inquiry that began in high school and intermediate algebra. The course prepares students for further study in business, finance, and management science. The underlying teaching philosophy is that students who study mathematics should develop alternate means of critical thinking and apply those means to the applications in the everyday business world. To this end, active participation is fostered by means of a variety of assignments. This course provides the student with sophisticated computational skills while stressing the ability to think critically and objectively. These computational and thinking skills will be applied to a wide variety of business applications. Students are encouraged to explore and solve realistic applications in business, finance, and management science.
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3.00 Credits
This college-level algebra course provides an understanding of algebraic concepts, processes, and practical applications. Topics include linear equations and inequalities, quadratic equations, and systems of equations and inequalities, complex numbers, and exponential and logarithmic expressions and functions. These topics are fundamental to the study of advanced courses in mathematics, statistics, engineering, and computer technology as well as in the sciences. Various applications in other fields such as finance, medicine, and environmental studies also require an understanding of algebraic concepts.
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3.00 Credits
Precalculus is a broad-based course that follows on courses in college algebra. It prepares students for courses in calculus and higher mathematics and for courses in technology where knowledge of precalculus is a prerequisite. The course is especially appropriate for students taking courses in aviation, electronics, nuclear studies, computer science, and so on. The underlying teaching philosophy is that students who study mathematics should develop skills of active enquiry and independent thought. To this end, active participation is fostered by means of a variety of activities. Providing a solid foundation for the study of calculus and advanced mathematics, the course emphasizes skills development and critical thinking. Students are encouraged to explore and solve realistic and relevant applications in the areas of science and technology. Topics include exponential and logarithmic functions, trigonometric functions, trigonometric identities and equations, applications of trigonometry, systems of equations and inequalities, sequences and series, and analytic geometry.
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4.00 Credits
Calculus I is an intensive, higher-level course in mathematics that builds on courses like precalculus. The course aims at serving the needs of a wide student audience, including students in engineering, mathematics, the physical and life sciences, and economics. It is constructed around multiple focal points with the intention of helping students become creative and efficient problem solvers. The course uses technology as a means of discovery for numerical, graphical, and analytical solutions to problems. It also emphasizes communication skills and requires students to interpret, describe, discuss, justify, and conjecture as they search for solutions to problems. Real-life applications provide links with students' everyday life. Topics covered include the Cartesian plane, limits and continuity, problems of tangents, velocity and instantaneous rates of change, rules for differentiation, implicit differentiation, maxima and minima theory, antiderivatives and the indefinite integral, exponential and logarithmic functions, and the area between curves.
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4.00 Credits
Calculus II is an intensive, higher-level course in mathematics that builds on MAT-231: Calculus I. The course aims at serving the needs of a wide student audience, including students in engineering, mathematics, the physical and life sciences, and economics. It is constructed around multiple focal points with the intention of helping students become creative and efficient problem solvers. The course uses technology as a means of discovery for numerical, graphical, and analytical solutions to problems. It also emphasizes communication skills and requires students to interpret, describe, discuss, justify, and conjecture as they search for solutions to problems. Real-life applications provide links with students' everyday life. Topics covered include applications of the definite integral and inverse function (exponential, logarithmic, and inverse trigonometric functions); techniques of integration; parametric equations and polar coordinates; and sequences and infinite series.
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3.00 Credits
Discrete Mathematics is designed to meet the needs not only of students majoring in computer science but of a wider audience, especially students in mathematics and science. The course provides tools for formal reasoning. Topics include counting rules, propositional and first-order logic, set theory, functions (with an emphasis on recursive functions), partial order and equivalence relations, Boolean algebra, and switching circuits. Graphs and trees are also introduced. With an emphasis on communication skills, students are required to interpret, describe, discuss, and justify conclusions based on logical reasoning. While the particular focus of the course is on reasoning related to computer programs, no knowledge of programming is required.
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3.00 Credits
This course surveys the historical development of mathematics. Mathematical pedagogy, concepts, critical thinking, and problem solving are studied from a historical perspective. The course aims at serving the needs of a wide student audience as well as connecting the history of mathematics to other fields such as the sciences, engineering, economics, and social sciences. The course explores the major themes in mathematics history: arithmetic, algebra, geometry, trigonometry, calculus, probability, statistics, and advanced mathematics. The historical development of these themes is studied in the context of various civilizations ranging from Babylonia and Egypt through Greece, the Far and Middle East, and on to modern Europe. Topics covered include ancient mathematics, medieval mathematics, early modern mathematics, and modern mathematics.
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3.00 Credits
This course provides the basics and applications of matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including vector spaces, linear transformations, inner products, matrix representations, binary and quadratic forms, and eigenvectors and functions of matrices.
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3.00 Credits
Calculus III is an intensive, higher-level course in mathematics that builds on MAT-232: Calculus II. The course aims at serving the needs of a wide student audience, including students in engineering, mathematics, the physical and life sciences, and economics. It is constructed around multiple focal points with the intention of helping students become creative and efficient problem solvers. The course uses technology as a means of discovery for numerical, graphical, and analytical solutions to problems. It also emphasizes communication skills and requires students to interpret, describe, discuss, justify, and conjecture as they search for solutions to problems. Real-life applications provide links with students' everyday life. Topics covered include indeterminate forms, vector algebra and calculus in the plane and 3-space, analytic space geometry, multivariable functions, partial derivatives, gradients, and real-world problems.
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