А.Әбілқасымова, Р.Кудакова, Алгебра және анализ бастамалары, 1991

Preface

Chapter I. Arithmetic

I.1. Sets. Operations on sets

I.2. Logical notation

I.3. Set of natural numbers

I.4. Fractions

I.5. Real numbers

Chapter II. Algebraic transformations

II.1. Power with a natural exponent

II.2. Arithmetic root and its properties

II.3. Power with a rational exponent

II.4. Monomial and polynomial

II.5. Concept of a function

II.6. Linear equations and inequalities

II.7. Quadratic equations. Vieta's theorem

II.8. Quadratic trinomial

II.9. Equations and inequalities with two variables

II.10. Irrational equations

Chapter III. Arithmetic and geometric progressions

III.1. Concept of a sequence

III.2. Principle of mathematical induction. Newton's binomial theorem

III.3. Arithmetic progression

III.4. Geometric progression

Chapter IV. Exponential and logarithmic functions

IV.1. Exponential functions

IV.2. Solving exponential equations and inequalities

IV.3. Logarithmic function

IV.4. Solving logarithmic equations and inequalities

Chapter V. Trigonometry

V.1. Concepts of sine, cosine, tangent and cotangent of a numerical argument

V.2. Basic trigonometric formulas

V.3. Graphs of trigonometric functions

V.4. Inverse trigonometric functions

V.5. Trigonometric equations and inequalities

Chapter VI. Introduction to mathematical analysis

VI.1. Theory of limits

VI.2. Differential calculus and its applications

VI.3. Antiderivative and integral

Independent work tasks

Answers