This course is the second of the three semester calculus sequence. The course extends the ideas of the previous course to further development of the derivative and the anti-derivative of a function; techniques of integration; improper integrals; calculus with polar and parametric equations; realistic applications to various fields; basic differential equations and their solutions; infinite sequences and series; and series approximation of functions. This course is intended for students in mathematics, science and engineering majors.
Math-155 is an in-depth study of functions and their usefulness in mathematical modeling. Functions are approached numerically, graphically, symbolically, and verbally. Families of functions studied include: linear, quadratic, exponential, logarithmic, trigonometric, power, polynomial, and rational. Additional function topics: rate of change, concavity, domain/range, function transformation/combination, inverse functions, and asymptotic behavior of functions. Algebraic skills are further developed. This course is primarily intended to prepare students for calculus but may also serve as an advanced course for students not intending to continue with calculus.
A first course in statistics with an introduction to descriptive statistics (measures of central tendency, variability, standard graphical representations of data distributions, correlation and linear regression), sampling design for reliable data production via experiments and surveys, sampling distributions, tests of significance and confidence intervals, probability as it relates to inference, applications using data from a broad range of disciplines. Use of a statistical software package or graphing calculator required.
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