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

Course Introduction and Application Information

Course Code:

MATH110

Course Name:

Calculus 2

Semester:

Spring

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

BENS101 - Calculus 1 | ENS101 - Calculus I | MATH109 - Calculus 1

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. SELÇUK DEMİR

Course Lecturer(s):

Assist. Prof. Dr. FUNDA ÖZDEMIR

Course Assistants:

Course Objective and Content

Course Objectives:	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 engineering problems.
Course Content:	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) Understand 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)	Level curves, limits and continuity
10)	Partial derivatives, chain rule, directional derivatives, gradient, tangent planes
11)	Maximum/minimum problems
12)	Lagrange multipliers, double integrals over rectangular regions
13)	Double integrals over general regions or in polar coordinates
14)	Triple integrals

Sources

Course Notes / Textbooks:	Thomas, G.B. et al., Thomas’ Calculus, Pearson
References:	Calculus Early Transcendentals 2nd Edition (Global Edition), Briggs, Cochran & Gillett.

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4	5
Program Outcomes
1) Knows the basic concepts related to the theory and applications of chemistry, uses theoretical and applied knowledge, can select, develop and design methods.
2) Makes experimental planning and application for analysis, synthesis, separation and purification methods, provide solutions to the problems encountered and interpret the results.
3) Expresses the basic principles of sample preparation techniques and instrumental analysis methods used in qualitative and quantitative analysis of items, discusses their application areas.
4) Has knowledge about the sources, production, industrial applications and technologies of chemical substances.
5) Makes structural analyzes of chemical substances and interprets the results.
6) Work individually and in multidisciplinary groups, take responsibility, plan their tasks and use time effectively.
7) Follows the information in the field and communicates with colleagues by using English at a professional level.
8) Uses information and communication technologies along with computer software at the level required by the field.
9) Follows the national and international chemistry literature, transfers the knowledge gained orally or in writing.
10) Determines self-learning needs, manages/directs his/her learning.
11) Takes responsibility and adheres to the ethical values required by these responsibilities.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Knows the basic concepts related to the theory and applications of chemistry, uses theoretical and applied knowledge, can select, develop and design methods.
2)	Makes experimental planning and application for analysis, synthesis, separation and purification methods, provide solutions to the problems encountered and interpret the results.
3)	Expresses the basic principles of sample preparation techniques and instrumental analysis methods used in qualitative and quantitative analysis of items, discusses their application areas.
4)	Has knowledge about the sources, production, industrial applications and technologies of chemical substances.
5)	Makes structural analyzes of chemical substances and interprets the results.
6)	Work individually and in multidisciplinary groups, take responsibility, plan their tasks and use time effectively.
7)	Follows the information in the field and communicates with colleagues by using English at a professional level.
8)	Uses information and communication technologies along with computer software at the level required by the field.
9)	Follows the national and international chemistry literature, transfers the knowledge gained orally or in writing.
10)	Determines self-learning needs, manages/directs his/her learning.
11)	Takes responsibility and adheres to the ethical values required by these responsibilities.

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	3		39
Application	13	0	2		26
Study Hours Out of Class	13	0	3		39
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					144