Genel Bilgi Konu Başlıkları Yeterlilik İlişkisi Değerlendirme Sistemi Öğrenme Çıktıları Özgü Ölçüt Matrisi

Hafta	Teori Konu Başlıkları
1	Double Integrals, Properties of double integral, Iteration of double integrals in cartesian coordinates
2	Improper Integrals and a mean-value theorem:improper integrals of positive fuctions, a mean value theorem for double integrals
3	Double integrals in polar coordinates, change of variables in double integrals; integrals depending on a parameter
4	Triple integrals, change of variables in triple integrals, cylindrical coordinates, spherical coordinates
5	Applications of multiple integrals, the surface area of a graph
6	Vector and scalar fields, field lines (Integral curves, trajectories,streamlines), vector fields in polar coordinates, conservative fields, equipotential surfaces and curves, line integrals, evaluating line integrals
7	Arasınav
8	Arasınav
9	Line integrals of vector fields, connected and simply connected domains, independence of path
10	Surfaces and surface integrals: parametric surfaces, surface integrals, smooth surfaces, normals, and area elements, evaluating surface integrals
11	Oriented surfaces and flux integrals: oriented surfaces, the flux of a vector field across a surface, calculating flux integrals
12	Gradient, divergence and curl, interpretation of the divergence, distributions and delta functions, interpretation of the curl
13	Some identities involving grad, div, and curl, scalar and vector potentials, Green's theorem in the plane, the two-dimensional divergence theorem
14	The Divergence theorem in 3-space, variants of the divergence theorem, Stoke's theorem

Hafta	Uygulama Konu Başlıkları
1	Double Integrals, Properties of double integral, Iteration of double integrals in cartesian coordinates
2	Improper Integrals and a mean-value theorem:improper integrals of positive fuctions, a mean value theorem for double integrals
3	Double integrals in polar coordinates, change of variables in double integrals; integrals depending on a parameter
4	Triple integrals, change of variables in triple integrals, cylindrical coordinates, spherical coordinates
5	Applications of multiple integrals, the surface area of a graph
6	Vector and scalar fields, field lines (Integral curves, trajectories,streamlines), vector fields in polar coordinates, conservative fields, equipotential surfaces and curves, line integrals, evaluating line integrals
7	Arasınav
8	Arasınav
9	Line integrals of vector fields, connected and simply connected domains, independence of path
10	Surfaces and surface integrals: parametric surfaces, surface integrals, smooth surfaces, normals, and area elements, evaluating surface integrals
11	Oriented surfaces and flux integrals: oriented surfaces, the flux of a vector field across a surface, calculating flux integrals
12	Gradient, divergence and curl, interpretation of the divergence, distributions and delta functions, interpretation of the curl
13	Some identities involving grad, div, and curl, scalar and vector potentials, Green's theorem in the plane, the two-dimensional divergence theorem
14	The Divergence theorem in 3-space, variants of the divergence theorem, Stoke's theorem