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Course Criteria
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3.00 Credits
A study of the use of mathematics to examine a series of genuine elementary applications. Students will consider a contextual situation, develop a mathematical model that describes the situation, use systematic exploration to identify solutions, and examine the behavior of the solutions in the context of the situation at hand. Models considered include: arithmetic, quadratic, geometric, and logistic, as well as combinations of these
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3.00 Credits
An examination of properties, algebra and graphs of trigonometric, exponential and logarithmic functions. Introduction to graphing and limits as a prerequisite for calculus
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4.00 Credits
An introduction to calculus and its applications. Topics include: limits, continuity, the rules of differentiation, implicit differentiation, first and second derivative tests, curve sketching, anti-derivatives definite integrals and the area under a curve. Emphasis is placed on applications in business, economics, and life sciences
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3.00 Credits
A study of algebraic, exponential, logarithmic, and trigonometric functions in preparation for the study of calculus. Topics include: properties of algebraic expressions, solution of algebraic equations and inequalities, graphs and properties of algebraic and transcendental functions, and solution of transcendental equations.
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3.00 Credits
An introduction to the practical application of computer hardware and software to problems in the sciences and mathematics. Topics include basics like using a graphical user interface and common office applications. More advanced topics include computer interfacing to instruments, mathematical modeling, curve fitting, molecular modeling, and others. Three hours lecture/workshop/ demonstration weekly. 3 credits Fulfills Skills Integration and Interdisciplinary requirements. Prerequisite: CHM 111, BIO 110 or PCS 221, MAT 152, CC 100, CC 101, and CC 102.
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4.00 Credits
An introduction to Calculus and its applications. Topic include: limits, continuity, the rules of differentiation, implicit differentiation, first and second derivative tests, curve sketching, anti-derivatives, the relationship between differential and integral calculus, definite integrals and the area under a curve
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4.00 Credits
A continuation of Single-Variable Calculus and its applications. Topics include definite integrals and the area under a curve, volumes and other applications of the integral, integration techniques (such as trigonometric substitution, integration by parts, and partial fractions), and sequences and series
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3.00 Credits
A formal introduction to the construction of proof via the classical theory of finite groups. Properties of group morphisms are used to prove the Cayley, Cauchy, and Sylow Theorems. The concept of a ring is introduced as an abstraction of the integers. The rational numbers are constructed as a quotient field of the integers
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3.00 Credits
An introduction to elementary probability theory, combinatorial analysis, random variable distribution functions, and discussion of the Law of Large Numbers and Central Limit Theorem
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3.00 Credits
An examination of properties of vectors and matrices. Solution of systems of linear equations, Gaussian elimination, and iterative techniques. Algorithms for determining inverses, determinants, eigenvalues, and eigenvectors
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