Further Mathematics Mikhail A Kozhaev mikhail kozhaevgmail com

Further Mathematics Mikhail A. Kozhaev mikhail. kozhaev@gmail. com

Main topics 1. Analytic geometry and linear algebra (complex numbers, coordinates, vectors, matrices, equations, and curves) 2. Limit (functions of one variable, its continuity, and limits) 3. Differential and integral calculus of one variable 4. Functions of several variables 5. Differential and integral calculus of several variable 6. Differential equations

Series • •

Series properties •

Convergent series • •

Convergent series limits properties •

Limit of a real-valued function •

Function limit properties • •

Limits of special interest • •

Additional limits tricks • •

Infinitesimal and comparison of functions • •

Applications: indeterminate form • •

Applications: indeterminate form • Indeterminate form

One-side limit •

Main topics 1. Analytic geometry and linear algebra (complex numbers, coordinates, vectors, matrices, equations, and curves) 2. Limit (functions of one variable, its continuity, and limits) 3. Differential and integral calculus of one variable 4. Functions of several variables 5. Differential and integral calculus of several variable 6. Differential equations

Continuous and discontinuous functions •

Continuous function properties • •

Discontinuities and its classification •

Discontinuities and its classification •

Discontinuities and its classification •

Thank you for your attention