Vudohn Differential equations and their applications. To familiarize students with eliptic curves and the basic notions of the analytic geometry in space. This course consists of 45 hours of lectures and 45 hours of exercises. The analytic geometry in space, vectors in space, scalar product, vector product and mixed product, equations of lines and planes, the relative position of lines and planes. Jurlewicz, Z. Elements of differential calculus.
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Composition of a function and inverse function. Monotonicity of a sequence of numbers. Comparison test for convergence of infinite series. Power series.
Continuity of a function. Asymptotes of a function. Derivative of a function at a point. Derivatives of higher order. The basic theorems. Monotonicity and extrema of functions. Convex functions. Examination of a function. Integration by parts and by substitution. Integration of rational, irrational and trygonometric functions. Definite integral, Newton-Leibniz theorem.
Examples of geometric applications of definite integral. Rank of a matrix, determinant of a square matrix. Solving of any systems of linear equations using Cramer theorem and Kronecker-Cappeli theorem. Rectangular and trygonometric form of a complex number. Operations on complex numbers. Fundamental theorem of algebra. Jurlewicz, Z. Gewert, Z. Krysicki, L. Antoniewicz, A. Skip to main menu Skip to submenu Skip to content. Uwaga: Codziennie w godz.
Print syllabus. Choosen plan division: this week course term. Course descriptions are protected by copyright. Reset Password You are not logged in log in. Department of Mathematics. I-go stopnia. The syllabus - Functins and their properties. Exponential, logarithmic and inverse-trygonometrical functions.
Monotonicity of a sequence of numbers - Infinite series. Bibliography used during lectures T. The student who completed the module. The ways of veryfing every mentioned outcome of teaching. Assessment methods and assessment criteria:. Choosen plan division: this week course term see course schedule. Class, 45 hours more information Lecture, 30 hours more information.
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Algebra liniowa 1: definicje, twierdzenia, wzory
Calculus and linear algebra