Week. Lecture
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1st Integral calculus: antiderivative and indefinite integral for functions of one variable.
2nd Integration methods - substitution, integration by parts.
3rd Integration of rational functions, irrational functions, trigonometric functions.
4th Definite integrals: basic concepts, properties, Newton-Leibniz rule.
5th Substitution method and integration by parts for the definite integral.
6th Applications of integrals in geometry.
7th Differential calculus for functions of two variables: definition, domain, limits and continuity.
8th Partial derivatives of first order and higher orders. Total differential.
9th The equation of the tangent plane and of the normal.
10th Extrema of functions of two variables.
11th Implicit function and its derivatives.
12th Ordinary differential equation of the 1st order: types of solutions, separable, homogeneous and linear.
13th Linear differential equations of the 2nd order with constant coefficients: variation of constants, determination of coefficients.
14th Linear differential equations of higher orders.
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1st Integral calculus: antiderivative and indefinite integral for functions of one variable.
2nd Integration methods - substitution, integration by parts.
3rd Integration of rational functions, irrational functions, trigonometric functions.
4th Definite integrals: basic concepts, properties, Newton-Leibniz rule.
5th Substitution method and integration by parts for the definite integral.
6th Applications of integrals in geometry.
7th Differential calculus for functions of two variables: definition, domain, limits and continuity.
8th Partial derivatives of first order and higher orders. Total differential.
9th The equation of the tangent plane and of the normal.
10th Extrema of functions of two variables.
11th Implicit function and its derivatives.
12th Ordinary differential equation of the 1st order: types of solutions, separable, homogeneous and linear.
13th Linear differential equations of the 2nd order with constant coefficients: variation of constants, determination of coefficients.
14th Linear differential equations of higher orders.