MATH201: Advanced Problems in Intermediate Algebra A

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Course Description

This course covers algebraic subjects covered include advanced quadratics, polynomials, conics, general functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more.  This course is for advanced students who have mastered the essentials and are eager for a more challenging mathematical experience. 

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Topic 1 Review and Overview
Topic 2 Functions Review
Topic 3 Complex Numbers
Topic 4 Quadratic Equations and Graphing Parabolas
Topic 5 Minima, Maxima, and Circles
Topic 6 Conics
Topic 7 Polynomial Division, the Remainder Theorem, the Factor Theorem
Topic 8 Integer and Rational Roots
Topic 9 Proof by Contradiction and Irrational Roots
Topic 10 Vieta's Formulas
Topic 11 Multivariable Polynomials
Topic 12 Advanced Strategies for Polynomials