Further Mathematics Mikhail A Kozhaev mikhail kozhaevgmail com
- Slides: 15
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
Derivative for linear function •
Ratio of differences •
Derivative •
Derivative: meanings • Physical meaning of derivative: Rate of a function change with variable • Geometrical meaning of derivative: Slope of a tangent line
Differentiation rules • •
Differentiation examples • •
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 (its applications) and integral calculus of one variable 4. Functions of several variables 5. Differential and integral calculus of several variable 6. Differential equations
Fermat’s theorem (stationary points) •
L'Hôpital's rule • •
Taylor series • •
Taylor series • •
Taylor’s theorem •
Thank you for your attention
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Further applications of integration
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Further applications of integration
