Language of Instruction

English

Level of Course Unit

First Cycle

Department / Program

PHYSICS

Mode of Delivery

Face to Face

Type of Course Unit

Compulsory

Objectives of the Course

With both the theoretical and practical knowledge gained through this course a student is expected to have the necessary qualifications and background to be able to solve the mathematical problems encountered in real life situations

Course Content

Infinite sequences and series, power series, Taylor and Maclaurin series. Vectors and the geometry of space; the dot product, the cross product. Vectorvalued faunctions and motion in space. Partial derivatives; functions of several variables, limits and continuity in higher dimensions, directional derivatives and gradient vectors, extreme values and saddle points, Lagrange multipliers. Multiple integrals; double integrals, double integrals in polar form, triple integrals in rectangular, cylindrical and spherical coordinates. Integration in vector fields; line integrals, vector fields, path independence, Green’s theorem, surface area and surface integrals, Stokes’ theorem, the Divergence theorem.

Course Methods and Techniques


Prerequisites and corequisities

None

Course Coordinator

None

Name of Lecturers

Prof.Dr. İSMAİL HAKKI DURU

Assistants

None

Work Placement(s)

No

Recommended or Required Reading
Resources

Thomas’ Calculus 11th Edition by George Brinton Thomas, Frank R.Giordano, Joel Hass Calculus , Edwards&Penney , Calculus with Analytic Geometry , Richard A . Silverman









