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(Click here for the complete list of courses)
From students
"The class was awesome."
"The class was excellent! The 90 minutes seemed like 30!"
"Taking AoPS classes has been one of the best experiences of my life. Intermediate Algebra was my third and probably my favorite."
This course covers quadratics, conics, polynomials, functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, and functional equations. This class covers much of the curriculum of a standard algebra II class, and most of the non-trigonometric topics of a typical pre-calculus course. It also includes many challenging aspects of algebraic problem solving that are beyond that presented in a typical algebra II or pre-calculus course. (Note: This class is equivalent to the Intermediate Algebra course we used to offer.)
Week 1: Equations+Functions Review
Week 2: Equations+Functions Review
Week 3: Complex Numbers
Week 4: Quadratics
Week 5: Advanced Quadratics and Generalizations
Week 6: Polynomial Division and Factoring
Week 7: Integer and Rational Roots
Week 8: Proof by Contradiction and Irrational Roots
Week 9: Relationships Among Roots
Week 10: Multivariable Polynomials
Week 11: Advanced Problems with Polynomials
Week 12: Sequences & Series
Week 13: Advanced Sequences & Series
Week 14: Identities & Induction
Week 15: Binomial Coefficients
Week 16: Exponents and Logarithms
Week 17: Special Functions 1
Week 18: Special Functions 2
Week 19: Functional Equations
Week 20: Inequalities 1
Week 21: Inequalities 2
Week 22: Additional Inequalities & Advanced Problems
Week 23: Advanced Problem Solving
Week 24: The Real Numbers
Students should have a mastery of basic algebra up through and including quadratic equations before taking this course. At a very minimum, students taking this class should have completed algebra I, though it would be helpful for students to have taken algebra II or to have studied some algebra beyond algebra I, perhaps through math competitions. Students who have completed a typical algebra II and/or pre-calculus course should not assume this class is too easy for them - they should review the diagnostic test below to determine if they are ready for the course.
We recommend trying the following tests to determine whether the class is appropriate for you:
Are You Ready?
Do You Need This?
This course requires the textbook Intermediate Algebra. There is a discount if you buy the text when registering for the course.
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