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Course Criteria
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3.00 Credits
An introduction to the calculus of algebraic, trigonometric, and transcendental functions. Interpretation, significance, and calculations of a derivative. Applications to geometry, biology, physics, economics, and other subjects. Introduction to the definite integral, including the Fundamental Theorem of Calculus. Not open to students who have taken MATH 192 or MATH 205.
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3.00 Credits
Methods of integration including substitution, integration by parts, numerical approximations, and improper integrals. Series, including Taylor series. Complex numbers, polar coordinates, differential equations and applications. Prerequisite: MATH 201 or 205. Not open to students who have taken MATH 206.
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3.00 Credits
For students intending to complete Calculus I and II in one semester, this course covers the material of MATH 201 during the first half of the semester. (Students normally complete MATH 206 during the second half of the semester.) Prerequisite: Placement or permission of the instructor. Not open to students who have taken MATH 201 or MATH 192.
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3.00 Credits
Covers the material of MATH 202 in the second half of the semester. Prerequisite: completion of MATH 205 during the first half of the same semester.
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3.00 Credits
Investigation into the components of effective secondary school mathematics instruction, including lesson design/implementation (curriculum, tasks, discourse, and assessment). Required fieldwork. Prerequisite: EDUC 201 or permission of the instructor.
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0.50 Credits
Mathematical problem solving, with an emphasis on problems and topics that appear in contests such as the Putnam Competition.
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3.00 Credits
Calculus of vector-valued functions and functions of several variables. Applications, including local, absolute, and constrained extrema. Multiple integrals and applications. Line integrals and surface integrals. Prerequisite: MATH 202.
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3.00 Credits
Basic methods of solving ordinary differential equations. Systems of linear differential equations, Laplace transform, applications and selected topics. Prerequisite: MATH 211. Not open to students who have taken MATH 222.
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3.00 Credits
Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues. Prerequisite: MATH 202 or 206.
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3.00 Credits
Exploratory data analysis, sampling distributions, regression, sampling designs, confidence intervals, hypothesis testing, ANOVA. Statistical software is used and applications, including projects, are undertaken. Not open to students who have taken MATH 226, MGMT 242, or PSYC 215.
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