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Course Criteria
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3.00 Credits
Prerequisite: High school algebra II with a grade of at least a B and acceptable M.A.P. recommendation, or MATH 110, or permission of the department. A review of basic properties of functions including their domain, range, graphs, and relationship to their inverse functions. An introduction to trigonometry including basic definitions of the trigonometric functions and their properties, identities, and specific trigonometric formulae such as addition and subtraction, double-angle, and half-angle. Applications to triangles are covered utilizing the laws of sines and cosines. Other topics such as polar coordinates and conic sections are presented. This course includes an introduction to sequences, series, limits, and aspects of calculus. (Fall, Spring)
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4.00 Credits
Prerequisite: MATH 121, or a high school precalculus course and permission of the instructor. A study of algebraic and transcendental functions of one variable, limits, continuity, differentiation, integration, and applications of integrals. (Spring)
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1.00 Credits
Prerequisite: ENGL 121, MATH 181 An introduction to the library research skills used in mathematics. The use of primary and secondary sources will be discussed as well as publication styles. Students will be exposed to the mathematical software used in mathematics research, and will engage in activities to sharpen critical thinking. In this course, majors in mathematics begin the process of senior portfolio development. This course fulfills the requirement for UNIV 201: Research in an Academic Discipline as specified in SWAU's Quality Enhancement Plan.
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3.00 Credits
Prerequisite: High school Algebra II with a grade of at least a B and acceptable M.A.P. recommendation, or MATH 110, or permission of the department. An introduction to the statistical processes of sampling, descriptive statistics, presentation of data, and inferential statistics. Included are elements of probability, discrete and continuous random variables, and the probability basis for hypothesis testing. Specific statistical techniques and concepts include use of the normal distribution, the t-distribution, X2 distribution, analysis of variance, correlation, and linear regression. (Fall, Spring)
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4.00 Credits
Prerequisite: MATH 181. A study of the calculus of transcendental functions, techniques of integration, and infinite series. (Fall)
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4.00 Credits
Prerequisite: MATH 282. A study of vectors in two and three dimensions, motion in space, polar, cylindrical and spherical coordinate systems, functions of several variables, partial derivatives, multiple integrals, and differentiation and integration in vector fields. (Spring)
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1.00 Credits
Prerequisite: Approval by department chair. Designed for the student who wishes to do independent study or research. Content and method of study must be arranged prior to registration. May be repeated for a total of 2 credits.
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3.00 Credits
Prerequisite: MATH 283. This is a study of ordinary differential equations with emphasis on the analytic methods for solving them. (Offered periodically)
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3.00 Credits
Prerequisite: MATH 282. This course is a study of Euclidean and non-Euclidean geometry. This course meets the upper division writing component for senior year English. ( Offered periodically)
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3.00 Credits
Prerequisite: MATH 283, or MATH 282 and permission of the instructor. An introduction to vector spaces and matrix theory over the field of real numbers. (Offered periodically)
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