1. Ordinary Differential Equations: Types of solutions, 1st-order ODEs, separation of variables
2.Linear Differential Equations of the 1st order: Method of variation of constants
3. Linear Differential Equations of the 2nd order: Method of undetermined coefficients, method of variation of constants
4. Systems of Linear Differential Equations: Matrix notation, fundamental system, fundamental matrix, elimination method
5. Euler’s method for solving systems of linear differential equations, Method of variation of constants
6. Functions of multiple variables, partial derivatives of the first and higher orders
7. Total differential, local extrema of a function: Unconstrained, constrained
8. Multivariable integrals: Computation over basic regions
9. Transformations in integral computation
10. Vector functions, scalar and vector fields: Gradient, divergence, potential, curl
11. Curves and surfaces: Definition and parametric description
12. Line and surface integrals
13. Integral theorems
2.Linear Differential Equations of the 1st order: Method of variation of constants
3. Linear Differential Equations of the 2nd order: Method of undetermined coefficients, method of variation of constants
4. Systems of Linear Differential Equations: Matrix notation, fundamental system, fundamental matrix, elimination method
5. Euler’s method for solving systems of linear differential equations, Method of variation of constants
6. Functions of multiple variables, partial derivatives of the first and higher orders
7. Total differential, local extrema of a function: Unconstrained, constrained
8. Multivariable integrals: Computation over basic regions
9. Transformations in integral computation
10. Vector functions, scalar and vector fields: Gradient, divergence, potential, curl
11. Curves and surfaces: Definition and parametric description
12. Line and surface integrals
13. Integral theorems