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M201: Advanced Problems in Intermediate Algebra A
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. Pretest download link: https://data.artofproblemsolving.com/course-docs/diagnostics/intermediate-algebra-pretest.pdf
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 |