Mathematics (English) Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MATH152

Course Name:

Calculus for Mathematics Students 2

Semester:

Spring

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator:

Prof. Dr. ŞÜKRÜ YALÇINKAYA

Course Lecturer(s):

Assist. Prof. Dr. Doğa Can Sertbaş

Course Assistants:

Course Objective and Content

Course Objectives:	The course aims to teach the improper integrals, sequences and series, differentiation, optimization and integration of functions of several variables, various coordinate systems and to gain the ability to use these concepts in solving mathematical problems.
Course Content:	The content of the course consists of improper integrals, sequences and series, approximation of functions by series, functions of several variables, differentiation of functions of several variables, optimizing functions of several variables, integrating functions of several variables, integrals in Cartesian and polar coordinates.

Learning Outcomes

The students who have succeeded in this course;
1) Compute the integrals over unbounded regions.
2) Learn the notion of convergence of series and use various tests to determine series convergence; find Taylor representations of functions and approximate functions via Taylor polynomial.
3) Comprehend and use the concept of a function of several variables, draw graphs in 3 dimensional spaces.
4) Compute partial derivatives, directional derivatives and write equations of tangent planes to surface; apply partial derivatives to find and test local extrema.
5) Evaluate double integrals in Cartesian and polar coordinates and triple integrals in Cartesian coordinates.

Course Flow Plan

Week	Subject	Related Preparation
1)	Improper integrals
2)	Sequences, infinite series
3)	The divergence and integral tests
4)	The ratio and alternating series tests
5)	Power series, Taylor series
6)	Vectors, dot product
7)	Cross product, planes and surfaces
8)	Midterm Exam
9)	Functions of several variables, limits and continuity
10)	Partial derivatives, chain rule, directional derivatives, gradient, tangent planes
11)	Maximum/minimum problems
12)	Double integrals over rectangular regions
13)	Double integrals over general regions or in polar coordinates
14)	Triple integrals

Sources

Course Notes / Textbooks:	Giordano, Frank R., Hass, Joel, Weir, Maurice D., Thomas, George B., Thomas' Calculus, 11th Edition, ISBN 9780321185587, 2004, Addison-Wesley.
References:	Calculus: A Complete Course, Richard A. Adams, Prentice Hall, 6th ed, 2006.

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4	5
Program Outcomes
1) Have the knowledge of the scope, history, applications, problems, methods of mathematics and knowledge that will be beneficial to humanity as both scientific and intellectual discipline.
2) Have the ability to establish a relationship between mathematics and other disciplines and develop mathematical models for interdisciplinary problems.
3) Have the ability to define, formulate and analyze real life problems with statistical and mathematical techniques.
4) Have the ability to think analytically and use the time effectively in the process of deduction.
5) Have the ability to search the literature, understand and interpret scientific articles.
6) Have the knowledge of basic software to be able to work in the related fields of computer science and have the ability to use information technologies at an advanced level of the European Computer Driving License.
7) Have the ability to work efficiently in interdisciplinary teams.
8) Have the ability to communicate effectively in oral and written form, write effective reports and comprehend the written reports, make effective presentations.
9) Have the consciousness of professional and ethical responsibility and acting ethically; have the knowledge about academic standards.
10) Have the ability to use a foreign language at least at B1 level in terms of European Language Portfolio criteria.
11) Are aware of the necessity of lifelong learning; have the ability to access information, to follow developments in science and technology and to constantly renew themselves.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Have the knowledge of the scope, history, applications, problems, methods of mathematics and knowledge that will be beneficial to humanity as both scientific and intellectual discipline.	2
2)	Have the ability to establish a relationship between mathematics and other disciplines and develop mathematical models for interdisciplinary problems.	3
3)	Have the ability to define, formulate and analyze real life problems with statistical and mathematical techniques.	2
4)	Have the ability to think analytically and use the time effectively in the process of deduction.	3
5)	Have the ability to search the literature, understand and interpret scientific articles.
6)	Have the knowledge of basic software to be able to work in the related fields of computer science and have the ability to use information technologies at an advanced level of the European Computer Driving License.
7)	Have the ability to work efficiently in interdisciplinary teams.
8)	Have the ability to communicate effectively in oral and written form, write effective reports and comprehend the written reports, make effective presentations.
9)	Have the consciousness of professional and ethical responsibility and acting ethically; have the knowledge about academic standards.
10)	Have the ability to use a foreign language at least at B1 level in terms of European Language Portfolio criteria.
11)	Are aware of the necessity of lifelong learning; have the ability to access information, to follow developments in science and technology and to constantly renew themselves.

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	1	% 40
Final	1	% 60
total		% 100
PERCENTAGE OF SEMESTER WORK		% 40
PERCENTAGE OF FINAL WORK		% 60
total		% 100

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	4		52
Application	13	0	2		26
Study Hours Out of Class	13	0	6		78
Midterms	1	0	15		15
Final	1	0	25		25
Total Workload					196