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MATH 131: Intermediate Algebra
3.00 Credits
University of Montevallo
Fundamental concepts and operations of algebra. For students who do not qualify for regular placement in mathematics.
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MATH 147: Finite Mathematics
3.00 Credits
University of Montevallo
Topics in finite mathematics and their applications. The course includes sets, counting, permutations, combinations, basic probability (including Baye's Theorem), an introduction to statistics (including work with Binomial and Normal Distributions), matrices and their applications to Markov chains, and decision theory. Prerequisite: MATH 131 or equivalent.
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MATH 149: Pre-Calculus Trigonometry
3.00 Credits
University of Montevallo
Trigonometric functions (circular), inverse trigonometric functions along with identities and trigonometric equations, vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Prerequisite: MATH 144 or equivalent.
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MATH 149 - Pre-Calculus Trigonometry
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MATH 150: Pre-Calculus Algebra and Trigonometry
4.00 Credits
University of Montevallo
The algebra of polynomial, rational, exponential, and logarithmic functions, systems of equations and inequalities, quadratic inequalities, and the binomial theorem. Trigonometric functions (circular), inverse trigonometric functions along with identities and trigonometric equations, vectors, complex numbers, DeMoivre's Theorem, and polar coordinates. Prerequisite: MATH 131 or equivalent.
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MATH 154: The Nature of Mathematics
3.00 Credits
University of Montevallo
Basic concepts from set theory, logic, geometry, statistics; the fundamental ideas of calculus, and a survey of the development and application of modern mathematics. This course is designed to satisfy the general education requirement in mathematics while providing an overview of the discipline. Prerequisite: MATH 131 or equivalent.
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MATH 157: Introduction to Statistics
3.00 Credits
University of Montevallo
Descriptive and inferential statistics, frequency distributions, measures of central tendency and dispersion, probability and sampling, estimation, hypothesis testing, confidence intervals, linear regression, correlation, and design of experiments. Prerequisite: MATH 131 or equivalent.
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MATH 160: Basic Mathematics for Elementary Teachers I
3.00 Credits
University of Montevallo
An overview of induction and deduction, sets, numbers, and numeration. Topics include patterns and sequences, counting techniques, sets, relations and functions, logic (implication and validity), numeration (base and place syntax and algorithms), number systems (axioms, rational operations, and modular arithmetic), and measurement. Where appropriate, these topics are applied to problem-solving strategies. This course is intended for Elementary Education majors and is aligned with the Alabama Course of Study-MATHEMATICS, but is open to any student meeting the prerequisite. (Note: Students who have completed MATH 164 with a "C" or better will not get credit for MATH 160.) Prerequisite: A grade of C or better in MATH 144 and MATH 147
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MATH 162: Basic Mathematics for Elementary Teachers II
3.00 Credits
University of Montevallo
A continuation of MATH 160. Topics include the real number system (irrational numbers), geometry (geometric shapes, angles, constructions, and measures of length, area, and volume), the metric system, symmetries, descriptive statistics (frequency distributions, measures of central tendency and variation, and normal distributions), and elementary inferential statistics. This course is intended for Elementary Education majors and is aligned with the Alabama Course of Study-MATHEMATICS, but is open to any student meeting the prerequisite. Prerequisite: A grade of C or better in MATH 160.
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MATH 164: Basic Mathematics
3.00 Credits
University of Montevallo
Topics (selected in concert with Alabama Course of Study-MATHEMATICS) include an introduction to logic, basic number theory, arithmetic algorithms, elementary geometry and measurement, congruence and similarity, and skills and strategies for problem solving. Prerequisite: A grade of C or better in both MATH 144 and 147.
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MATH 170: Calculus I
4.00 Credits
University of Montevallo
The study of the limit of a function; the derivative of algebraic, trigonometric, exponential, and logarithmic functions; the definite integral and its basic applications to area problems. Applications of the derivative are covered in detail, including approximations of error using differentials, maximum and minimum problems, and curve sketching using calculus. Prerequisite: MATH 149 or 150 or equivalent.
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