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Math141OutlineFinal

# Math141OutlineFinal - MATH 141 PRECALCULUS FINAL SYSTEMS...

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MATH 141: PRECALCULUS FINAL: SYSTEMS AND MATRICES (CHAPTERS 7 AND 8), DISCRETE MATH (CHAPTER 9), AND CONICS AND POLAR EQUATIONS (CHAPTER 10) DISCLAIMER: This may or may not be a comprehensive list, but it’s a very good start! Know all aspects of these topics; I may go beyond listed subtopics. CHAPTER 7: SYSTEMS Solving Linear and Nonlinear Systems of Equations using: (7.1, 7.2) Substitution Method Addition / Elimination Method Graphical Method (the idea) Some Issues: (7.1, 7.2) Real solutions of systems correspond to intersection points. Consistent and Inconsistent Systems Systems of Linear Equations can have 0, 1, or infinitely many solutions. Write all coordinates of a solution in the appropriate order. Partial Fractions and Systems (7.4) Use Long Division when necessary Forms based on the factored form of the denominator Finding the Unknowns using “Plugging In” and “Matching Coefficients” CHAPTER 8: MATRICES Size Gaussian Elimination (with Back-Substitution) and Gauss-Jordan Elimination (8.1) Steps Common to Both Methods:

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Math141OutlineFinal - MATH 141 PRECALCULUS FINAL SYSTEMS...

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