|Course Title||Code||Semester||L+P Hour||Credits||ECTS|
|Vector Analysis *||MT 236||4||2||2||4|
|Prerequisites and co-requisites|
|Recommended Optional Programme Components||None|
|Language of Instruction||Turkish|
|Course Level||First Cycle Programmes (Bachelor's Degree)|
|Course Coordinator||Assoc.Prof.Dr. Nazar Şahin ÖĞÜŞLÜ|
Gain skills related to intangible and tangible aspects of vector analysis, to understand the basic concepts and physical applications of vector functions, line integrals, Green´s theorem and divergence theorem, teach understanding of abstract mathematical concept and abstract thinking.
Vector functions, line integrals, Green´s theorem, surface integrals, divergence theorem
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Is able to prove Mathematical facts encountered in secondary school.
Recognizes the importance of basic notions in Algebra, Analysis and Topology
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
Is able to express basic theories of mathematics properly and correctly both written and verbally
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
Expresses clearly the relationship between objects while constructing a model
Draws mathematical models such as formulas, graphs and tables and explains them
Is able to mathematically reorganize, analyze and model problems encountered.
Knows at least one computer programming language
Uses effective scientific methods and appropriate technologies to solve problems
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
Knows programming techniques and is able to write a computer program
Is able to do mathematics both individually and in a group.
|1||Limit and derivative of vector functions.||Review of the relevant pages from sources|
|2||Properties of the derivative of vector functions.||Review of the relevant pages from sources|
|3||Motion along curve: speed, acceleration vector and uniform circular motion.||Review of the relevant pages from sources|
|4||Tangential and normal compenents of the acceleration vector.||Review of the relevant pages from sources|
|5||Newton and Kepler laws.||Review of the relevant pages from sources|
|6||Vector and scalar fields and methods to obtain a new vector field from a vector field||Review of the relevant pages from sources|
|7||Line integrals.||Review of the relevant pages from sources|
|8||midterm exam||Review of the topics discussed in the lecture notes and sources|
|9||Some physical applications of line integrals. (the work done along the curve, total flux)||Review of the relevant pages from sources|
|10||Proof of Green´s theorem.||Review of the relevant pages from sources|
|11||Green´s theorem for the regions bounded by two curves.||Review of the relevant pages from sources|
|12||Conservative vector fields and fundemental theorem of line integrals.||Review of the relevant pages from sources|
|13||Computation of surface integrals.||Review of the relevant pages from sources|
|14||Proof of the Divergence theorem.||Review of the relevant pages from sources|
|15||Some applications of divergence theorem||Review of the relevant pages from sources|
|16-17||Final exam||Review of the topics discussed in the lecture notes and sources|
|Recommended or Required Reading|
|Textbook||Calculus and Analytic Geometry, Authors: Shermann K. Stein, Anthony Barcellos.|