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Course Criteria
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3.00 Credits
Statistical and algebraic methods of modeling quantitative data and analyzing the models. Includes the study of two-variable data using ideas of regression, correlation and bias, and the study of linear, quadratic, polynomial, exponential and logarithmic functions and their graphs. Note: Students may not take both MATH 114 and MATH 115 for credit. Prerequisite: MATH 090 at USD with a grade of C- or better, or pass Level 1 mathematics placement exam within the previous year.
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1.00 - 3.00 Credits
Definitions, solutions of right triangles, graphs, identities, and inverse trigonometric functions. (every semester)
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3.00 Credits
Probability as a mathematical system, random variables and their distributions, confidence intervals, hypothesis testing, and other topics in statistical inference. Prerequisite: MATH 114, or MATH 115 or equivalent.
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3.00 Credits
A terminal mathematics course giving an introduction to the concepts and techniques of elementary differential and integral calculus. Note 1: This course is not equivalent to MATH 150, and will not serve as a prerequisite to MATH 151. Prerequisite: MATH 114 with a grade of C- or better, MATH 115 with a grade of C- or better, or pass Level 2 mathematics placement exam within the previous year. (every semester)
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3.00 - 4.00 Credits
Continuation of Calculus I including integration, infinite series, differential equations, applications, and historical references. Prerequisite: MATH 150 or equivalent. (every semester)
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3.00 Credits
Propositional calculus; first-order predicate calculus, mathematical proof, mathematical induction, fundamental set theory, relations and functions, and applications to problems in mathematics and computer science. Prerequisite: MATH 115, or pass Level 2 placement exam. This course satisfies the logic competency requirement. (every semester)
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3.00 Credits
Problem solving, sets, numeration systems, a development of the whole number system, geometric figures, and computers. Note: This course does not count toward either the major or minor in mathematics. It covers the mathematical content required by the California state teacher credentialing frameworks. Prerequisite: MATH 114, or MATH 115 or equivalent.
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3.00 - 4.00 Credits
Calculus of several variables, partial derivatives, multiple integration, elements of vector calculus, elements of differential equations, applications, and historical references. Prerequisite: MATH 151 or equivalent. (every semester)
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3.00 Credits
Measurement concepts, development of the real number system, algebra, geometric mappings, probability, and statistics. Note: This course does not count toward either the major or minor in Mathematics. It covers the mathematical content required by the California state teacher credentialing frameworks. Prerequisite: MATH 200 or equivalent.
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2.00 - 3.00 Credits
Senior seminar for single subject credential students in mathematics. Contributions to mathematics by various ethnic, racial, and cultural groups by both men and women. Equity considerations in mathematics education. Variations in how students learn mathematics. Diverse methods of communication and assessment in mathematics. Practical aspects of teaching diverse students. Students will be required to do some tutoring in mathematics. This course is offered exclusively on a pass/fail basis. This course will not apply toward the major or minor in Mathematics.
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