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© 2026 LibreTimes

S

Sergey

@aethereal

Math and CS

1 follower39 works

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Works by Sergey - LibreTimes

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Векторный анализ. Листки задач

Sergey·October 3, 2026

Шесть листков: криволинейные интегралы I и II рода, формула Грина, поверхностные интегралы I и II рода, формула Стокса. Каждый листок начинается с теории, нужной для его задач; у каждого решения есть проверка на SymPy.

Mathematics Mathematical Analysis

6 items4 views

Collection

Линейная алгебра и аналитическая геометрия. Листки задач

Sergey·October 3, 2026

Листки задач с разобранными решениями и проверкой каждого решения на SymPy.

Mathematics Linear Algebra Analytic Geometry

1 itemNo views

Vector calculus. Surface integrals of the first kind

Oct 3, 2026Problem sheetSergey

Integration with respect to surface area: the area element for an explicit and a parametric surface, pieces of planes, the sphere in spherical coordinates.

0

340

Vector calculus. Stokes' theorem. Circulation

Oct 3, 2026Problem sheetSergey

Circulation of a field as the flux of its curl: computing the curl, matching the orientation of the contour and the normal, circulation computed two ways.

0

310

Vector calculus. Line integrals of the second kind. Work of a field

Oct 3, 2026Problem sheetSergey

Integrating a vector field along a directed curve: parametrising a segment and a graph, the work of a force, path dependence, a potential field and its potential, a curl-free field in a domain that is not simply connected.

0

400

Vector calculus. Line integrals of the first kind

Oct 3, 2026Problem sheetSergey

Integration with respect to arc length: parametrising a curve, the length element $ds = |\mathbf{r}'(t)|\,dt$ , arc length, curves in polar coordinates, the mass and centre of mass of a wire, symmetry instead of computation.

0

530

Vector calculus. Green's theorem

Oct 3, 2026Problem sheetSergey

A contour integral as a double integral: the hypotheses of Green's theorem, orientation of the contour, area as a contour integral, closing an open arc, an annulus, a singular point inside the contour.

0

260

Vector calculus. Surface integrals of the second kind. Flux

Oct 3, 2026Problem sheetSergey

The flux of a vector field through an oriented surface: the normal and the choice of side, the explicit and parametric forms, the lateral surface of a cylinder.

0

390

Linear algebra and analytic geometry. Vector algebra

Oct 3, 2026Problem sheetSergey

Vectors in coordinates: dividing a segment, midpoints of sides, the angle between vectors, the cross product and the scalar triple product.

0

180

Суффиксы в Английском Языке

Aug 23, 2026ReferenceSergey

Английские суффиксы -ful, -ible, -ing, -ist, -less, -ly, -ment, -ness, -ent/-ant с моделями образования и примерами.

0

50

Префиксы в Английском Языке

Aug 23, 2026ReferenceSergey

Значения английских префиксов inter-, re- и отрицательных il-, in-, im-, ir- с примерами.

0

50

Integrals with Trigonometric Functions

Aug 13, 2026ReferenceSergey

Reference table of indefinite integrals of sine, cosine, tangent and their powers and products.

0

280

Integrals of Trigonometric Functions and Monomials

Aug 13, 2026ReferenceSergey

Reference table of indefinite integrals of products of powers of x with sine and cosine.

0

290

Integrals of Trigonometric Functions and Exponentials

Aug 13, 2026ReferenceSergey

Reference table of indefinite integrals of products of exponentials with sine and cosine.

0

290

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