Rustumova_1

Preface

Chapter I. Rational functions

§ 1. Identical transformations of numerical expressions

§ 2. Identical transformations of rational algebraic expressions

§ 3. Methods for solving rational algebraic equations

§ 4. Methods for solving systems of algebraic equations

§ 5. Methods for solving rational inequalities

§ 6. Methods for solving equations with a variable under the modulus sign

§ 7. Methods for solving inequalities with a variable under the modulus sign

Chapter II. Irrational functions

§ 1. Identical transformations of irrational algebraic expressions

§ 2. Methods for solving irrational equations

§ 3. Methods for solving systems of irrational equations

§ 4. Methods for solving irrational inequalities

Chapter III. Exponential and logarithmic functions

§ 1. Methods for solving exponential equations

§ 2. Methods for solving exponential inequalities

§ 3. Identical transformations of logarithmic expressions

§ 4. Methods for solving logarithmic equations

§ 5. Methods for solving logarithmic inequalities

§ 6. Methods for solving systems of exponential and logarithmic equations

Chapter IV. Solving problems related to sequences

§ 1. Numerical sequences

§ 2. Arithmetic progression

§ 3. Geometric progression

Chapter V. Solving word problems

§ 1. Motion problems

§ 2. Work and labor productivity problems

§ 3. Percentage problems

§ 4. Problems on alloys, solutions and mixtures

§ 5. Problems on proportional division and numerical dependencies