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MATH 111, 112 Probability and Statistics I, II (3, 3)
Prerequisite: high school algebra, 111 is a prerequisite for 112
Elementary probability theory with applications; random variables; distributions including a thorough discussion of the binomial, Poisson, and normal distributions; central limit theorem; histograms; sampling distributions; confidence intervals; tests of hypotheses; linear models; regression and correlation; chi-square test; non-parametric statistics; bioassay; sensitivity experiments; sequential test.
MATH 115, 116 Introduction to Calculus (3, 3)
The material of Calculus 121 is covered in two semesters, with diversions for topics in algebra, trigonometry, complex numbers as the need for these topics arises. Mathematics 115 is a prerequisite for 116. Students finishing the course sequence 115-116 may continue with 122 or any other course having Calculus 121 as a prerequisite. The combination of 115 and 116 may count as one course toward the B.S. degree requirement.
MATH 121 Calculus I (4)
Prerequisites: high school algebra, geometry, and trigonometry
Functions and their graphs, limits and continuity, derivatives and applications of derivatives, and introduction to the integral.
MATH 122 Calculus II (4)
Prerequisite: grade of at least C- in MATH 116 or 121
Integration; exponential, logarithmic, and trigonometric functions; techniques of integration; mean value theorem; Taylor’s Theorem and Taylor series; and infinite series.
MATH 221 Calculus III (4)
Prerequisite: MATH 122 or 131
A basic course in differential and integral calculus of several variables. Vectors in the plane and space. Vector functions, derivatives, arc length, curvature. Functions of several variables: continuity, partial derivatives, chain rule, gradient, optimization, Lagrange multipliers. Double and triple integrals: change of variables, polar coordinates, cylindrical and spherical coordinates, surface area. Vector fields: gradient, curl, divergence, line and surface integrals, Green’s, Stokes’, and Divergence theorems.
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