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This is summer version of the regular Math125 course. There are minor changes in the content of the course. The course covers selected topics of elementary algebra, statistics and probability. The following topics are covered in details: sets, numbers, graphing, linear and quadratic equations and inequalities, relations and functions, solving systems of linear equations, descriptive statistics, frequency distributions, graphical displays of data, measures of central tendency and dispersion, introduction to probability. The course covers selected topics of elementary algebra, statistics and probability. The following topics are covered in details: sets, numbers, graphing, linear and quadratic equations and inequalities, relations and functions, solving systems of linear equations, descriptive statistics, frequency distributions, graphical displays of data, measures of central tendency and dispersion, introduction to probability. Applications of calculus to business and social science. Intuitive use of limits and continuity. Derivatives, extrema, concavity, and applications such as marginal analysis, business models, optimization of tax revenue, and minimization of storage cost. The exponential and logarithmic functions. Anti-derivatives and the definite integral. Areas and consumers’ surplus. Some concepts of probability extended to discrete and continuous sample spaces. The course covers the following topics: matrices and systems of linear equations, vector spaces, change of base matrices, linear transformations, determinants, eigenvalues and eigenvectors, canonical forms.
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