MATH 102 | Course Introduction and Application Information - Department of International Trade and Finance

Course Name

Calculus II

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
MATH 102	Spring	3	0	3	6

Prerequisites

MATH 101 To get a grade of at least FD

Course Language

English

Course Type

Required

Course Level

First Cycle

Mode of Delivery

-

Teaching Methods and Techniques of the Course

Problem Solving
Q&A
Lecture / Presentation

National Occupation Classification

-

Course Coordinator

Dr. Öğr. Üyesi Necla KOÇHAN

Course Lecturer(s)

Assistant(s)

Course Objectives	This course aims to provide basic concepts of Mathematics such as functions, area between functions, integrals, maxima minima and their applications, and differential equations.
Learning Outcomes	The students who succeeded in this course; sketch graphs of functions. solve optimization problems. evaluate definite and indefinite integrals by using integration by parts and substitution. apply the procedures for integrating rational functions. solve separable differential equations and applications of differential equations. evaluate improper integrals.
Course Description	Calculus II is the sequel to Calculus I. Topics are as follows: Sketching graphs of functions, optimization, integral, techniques of integration, fundamental theorem of calculus, areas between curves, differential equations, improper integrals.
Related Sustainable Development Goals

Course Category	Core Courses	X
	Major Area Courses
	Supportive Courses
	Media and Management Skills Courses
	Transferable Skill Courses

Week	Subjects	Related Preparation
1	Higher-order derivatives, relative extrema	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.7, 13.1
2	Absolute extrema on a closed interval, concavity	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.2,13.3
3	The second-derivative test, asymptotes	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.4,13.5
4	Applied maxima and minima	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.6
5	Differentials, the indefinite integral	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.1, 14.2
6	Integration with initial conditions, more integration formulas	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.3, 14.4
7	Techniques of integration, the Fundamental theorem of calculus	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.5, 14.7
8	Review-Midterm
9	Integration by parts	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 6.1
10	Partial fractions	"Calculus A Complete Course " by R.A. Adams, C. Essex, 10th Edition, Pearson. Section: 6.2
11	Areas between curves	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.3
12	Average value of a function	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.5
13	Differential equations	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.6
14	Improper integrals	Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.8
15	Semester review
16	Final exam

Course Notes/Textbooks

Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018).

ISBN-13: 013414110

Suggested Readings/Materials

"Calculus A Complete Course " 10th Edition by by R.A. Adams, C. Essex, 10th Edition, Pearson.

Semester Activities	Number	Weigthing
Participation		-
Laboratory / Application
Field Work
Quizzes / Studio Critiques	3	9
Portfolio
Homework / Assignments
Presentation / Jury	3	9
Project
Seminar / Workshop
Oral Exams
Midterm	1	32
Final Exam	1	50
Total

Weighting of Semester Activities on the Final Grade	7	50
Weighting of End-of-Semester Activities on the Final Grade	1	50
Total

Semester Activities	Number	Duration (Hours)	Workload
Theoretical Course Hours (Including exam week: 16 x total hours)	16	3	48
Laboratory / Application Hours (Including exam week: '.16.' x total hours)	16		0
Study Hours Out of Class	10	3	30
Field Work			0
Quizzes / Studio Critiques	3	5	15
Portfolio			0
Homework / Assignments			0
Presentation / Jury	3	5	15
Project			0
Seminar / Workshop			0
Oral Exam			0
Midterms	1	32	32
Final Exam	1	40	40
		Total	180

#	Program Competencies/Outcomes	* Contribution Level
#	Program Competencies/Outcomes	1	2	3	4	5
1	To be able to identify and analyze problems in the field of trade and finance, and to develop solutions.	-	-	X	-	-
2	To be able to apply theoretical and practical knowledge of international trade and finance to real-world professional contexts.	-	-	-	-	X
3	To be able to critically analyze global market developments and evaluate their implications for business and policy.	-	-	-	-	-
4	To be able to collect, analyze, and interpret financial and economic data by using digital and information technologies effectively.	-	-	-	-	-
5	To be able to understand and interpret legal frameworks, regulations and practices relevant to international trade and finance.	-	-	-	-	-
6	To be able to anticipate, define, and manage financial and trade-related risks through informed decision-making.	-	-	-	-	-
7	To be able to acquire and use verbal, written, and numerical skills effectively for the nature of international trade and finance program.	-	-	-	X	-
8	To be able to obtain, synthesize, and report trade- and finance-related information clearly and effectively.	-	-	-	-	-
9	To be able to contribute effectively as individuals, team members, and leaders in multidisciplinary environments.	-	-	-	-	-
10	To be able to evaluate trade and finance issues from ethical, social, and sustainability perspectives.	-	-	-	-	-
11	To be able to collect data in the areas of International Trade and Finance and communicate with colleagues in a foreign language ("European Language Portfolio Global Scale", Level B1).	-	-	-	-	-
12	To be able to speak a second foreign at a medium level of fluency efficiently.	-	-	-	-	-
13	To be able to relate the knowledge accumulated throughout human history to their field of expertise.	-	-	-	-	-