MATHEMATICS I

BTS511

Course Code: BTS511
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree Without Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

are expected to have knowledge and skills about similarities and differences between single-variable functions and the many-variables functions .

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

There is no recommended optional programme component for this course.

Course Description

Real numbers, principle of induction, functions and their inverses, trigonometric and inverse trigonometric functions, limit, continuity, derivative, differential, rules for the derivatives of algebraic functions, mean value theorem, applications of derivatives, L'Hospital's rule, graphs of functions, indefinite integrals, methods of integration, definite integrals, areas.

Course Contents

WEEK	TOPICS
1^st Week	Polar Coordinates, Analytic geometry in three dimensional space
2^nd Week	Vectors in the plane and in space, skaler multiplied, vectorial product, mixed product and applications
3^rd Week	In three-dimensional space the line and plane equation, applications
4^th Week	Definition of functions of several variables, Domain sets, Limit and continuity
5^th Week	Partial derivatives, Higher-Order derivatives, The chain rule
6^th Week	Directional derivatives, Gradients, Derivatives of Implicit functions
7^th Week	Extreme values, Lagrange Multipliers
8^th Week	MIDTERM I
9^th Week	Double integrals in Cartesian and Polar Coordinates
10^th Week	Trible integrals in Cartesian Coordinates
11^th Week	Coordinate transformations
12^th Week	MID TERM II
13^th Week	Cylindrical Coordinates
14^th Week	Spherical Coordinates

Programme Qualifications / Learning Outcomes

	LO1
K1	X
K2
K3	X
K4
K5	X
K6
K7	X
K8	X
K9	X
K10	X
K11