Further Mathematics Mikhail A Kozhaev mikhail kozhaevgmail com
- Slides: 21
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