top of page
Introduction:
 
A comprehensive textbook covering Algebra 2 and topics in Precalculus. This book is the follow-up to the acclaimed Introduction to Algebra textbook.
Topics covered in this book include a review of basic algebra topics, complex numbers, quadratics and conic sections, polynomials, multivariable expressions, sequences and series, identities, inequalities, exponents and logarithms, piecewise-defined functions, functional equations, and much more.
As with all of the books in Art of Problem Solving's Introduction and Intermediate series, the text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which new techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains over 1600 problems. The solutions manual contains full solutions to all of the problems, not just answers.

AoPS-Intermediate-Algebra

$640.00Price

  • 16节课/期 $40/hr

    Lessons:

    Lesson 1               Review and Overview

    Lesson 2               Functions Review

    Lesson 3               Complex Numbers

    Lesson 4               Quadratic Equations and Graphing Parabolas

    Lesson 5               Minima, Maxima, and Circles

    Lesson 6               Conics

    Lesson 7               Polynomial Division, the Remainder Theorem, the Factor Theorem

    Lesson 8               Integer and Rational Roots

    Lesson 9               Proof by Contradiction and Irrational Roots

    Lesson 10             Vieta's Formulas

    Lesson 11             Multivariable Polynomials

    Lesson 12             Advanced Strategies for Polynomials

    Lesson 13             Arithmetic and Geometric Sequences and Series

    Lesson 14             Advanced Sequences and Series

    Lesson 15             Induction

    Lesson 16             Exponents and Logarithms

    Lesson 17             Radicals, Monotonic, and Even and Odd Functions

    Lesson 18             Rational Functions and Partial Fractions

    Lesson 19             Piecewise Functions, Absolute Value, Integer and Fractional Part

    Lesson 20             Inequalities

    Lesson 21             Mean Inequality Chain

    Lesson 22             Cauchy-Schwarz Inequality

    Lesson 23             Functional Equations

    Lesson 24             More Functional Equations and Challenging Problems

    各单元课时安排由老师依据考试比重及重难点给出相应Syllabus。

bottom of page