FACULTY OF BUSINESS

Department of Economics

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, multivariable calculus, maxima minima and their applications
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 Sketching graphs of functions. Optimization.The definite integral. The indefinite integral. Techniques of integration. Multivariable calculus. Derivatives of multivariable fuctions. Extreme values of a bivariate function. The double integral. Volume of a solid under a graph of a bivariate function over a region.

 



Course Category

Core Courses
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 "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 12.7, 13.1
2 Absolute extrema on a closed interval, concavity "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 13.2,13.3
3 The second-derivative test, asymptotes "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 13.4,13.5
4 Applied maxima and minima "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 .Section: 13.6
5 Differentials, the indefinite integral "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 14.1, 14.2
6 Integration with initial conditions, more integration formulas "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 14.3, 14.4
7 Techniques of integration, the Fundamental Theorem of calculus "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 14.5, 14.7
8 Review/ MT-1
9 Integration by parts, partial fractions “Calculus for Business, Economics, Life Sciences, and Social Sciences” 13th Edition by R.A. Barnett, M.R. Ziegler, K.E. Byleen, Prentice Hall,2014. Section: 6.3, 6.4
10 Areas between curves "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 . Section: 15.3
11 Average value of a function, differential equations "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 15.5, 15.6
12 Review/ MT-2
13 More applications of differential equations, improper integrals "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 15.7,15.8
14 More applications of differential equations, improper integrals "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107 Section: 15.7,15.8
15 Semester review
16 Final exam

 

Course Notes/Textbooks

"Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences" by E.F. Haeussler, R. S. Paul, R.J. Wood, 14th Edition, Pearson,2018. ISBN-13:978-0134141107

Suggested Readings/Materials

“Calculus for Business, Economics, Life Sciences, and Social Sciences” 13th Edition by R.A. Barnett, M.R. Ziegler, K.E. Byleen, Prentice Hall,2014. ISBN-13:978-0321869838

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
-
Laboratory / Application
Field Work
Quizzes / Studio Critiques
5
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
6
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
5
6
30
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
30
30
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able to acquire a sound knowledge of fundamental concepts, theories, principles and methods of investigation specific to the economic field.

X
2

To be able to apply adequate mathematical, econometric, statistical and data analysis models to process economic data and to implement scientific research for development of economic policies.

3

To be able to participate in academic, professional, regional, and global networks and to utilize these networks efficiently.

4

To be able to have adequate social responsibility with regards to the needs of the society and to organize the activities to influence social dynamics in line with social goals.

5

To be able to integrate the knowledge and training acquired during the university education with personal education and produce a synthesis of knowledge one requires.

6

To be able to evaluate his/her advance level educational needs and do necessary planning to fulfill those needs through the acquired capability to think analytically and critically.

7

To be able to acquire necessary skills to integrate social dynamics into economic process both as an input and an output.

8

To be able to link accumulated knowledge acquired during the university education with historical and cultural qualities of the society and be able to convey it to different strata of society.

9

To be able to take the responsibility as an individual and as a team member.

10

To be able to attain social, scientific and ethical values at the data collection, interpretation and dissemination stages of economic analysis.

11

To be able to collect data in economics 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 economics.

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

 


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