MATS 1300 - College Algebra
4 Credits
Placement Level Algebra College Level Placement
Linear, quadratic, polynomial, rational, exponential, logarithmic, and other functions are carefully analyzed, with particular emphasis on graphical transformations (shifting, reflecting, stretching and compressing). Additional topics include matrices and Gaussian elimination; solving complex equations, including those in quadratic form and those that must be solved graphically; variation problems; particle motion; optimization problems; composition and inverse functions; arithmetic and geometrc sequences; properties of logarithms and exponential/logarithmic equations; exponential growth and decay.
Learning Outcomes
Analyze graphs of polynomial and rational functions, including intercepts, symmetry, end behavior, multiplicity and arymptotes. Solve high-order polynomial equations by factoring, including complex number solutions. Apply knowledge of transformations to convert among equation and graph forms of various functions. Explain the concept of function, executing instructions written using function notation, e.g. f(x+h) - f(x) Apply log-laws to solve exponential and logarithmic equations. Analyze arithmetic vs geometric / linear vs exponential growth and decay. Apply Gaussian elimination and other techniques to solve linear systems of equations, including applications.
Minnesota Transfer Curriculum (MNTC) Goals
04 - Mathematical/Logical Reasoning
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