FACULTY OF BUSINESS

Department of International Trade and Finance

MATH 102 | Course Introduction and Application Information

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
Course Coordinator
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.

 



Course Category

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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

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.

 

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
-
Laboratory / Application
Field Work
Quizzes / Studio Critiques
6
30
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

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
14
3
42
Field Work
0
Quizzes / Studio Critiques
6
4
24
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
36
36
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
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.

2 To be able to use the theoretical and practical knowledge gained in the field of International Trade and Finance.
3 To be able to analyze the developments in global markets by using critical thinking skills.
4 To be able to analyze and interpret data in the field of finance, commerce and economics by using information technologies effectively.
5 To be able to acquire knowledge about the legal regulations and practices in the field.
6 To be able to foresee and define the risks that could be encountered in the field of trade and finance and to take decisions to manage such risks.
7 To be able to acquire and use verbal and numerical skills necessary for the nature of international trade and finance program.
8 To be able to obtain, synthesize and report the information related to the fields of trade and finance.
9 To be able to contribute to the solution of problems as individual, team member or leader.
10

To be able to evaluate the issues related to the field with an ethical perspective and social sensitivity.

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.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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