ECTS - Calculus for Management and Economics Students

Calculus for Management and Economics Students (MATH102) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Calculus for Management and Economics Students MATH102 General Elective 3 0 0 3 5
Pre-requisite Course(s)
(MATH101 veya MATH103)
Course Language English
Course Type Elective Courses
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer, Team/Group.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives This course is intended to give skills in differential and integral calculus of one variable and differential calculus of several variables with a variety of examples that highlight the direct application of calculus to the economic, social and managerial sciences.
Course Learning Outcomes The students who succeeded in this course;
  • understand fundamental concepts of limit and continuity
  • understand the meaning of derivative and be able to compute derivatives of elementary functions
  • use derivatives to solve problems involving maxima, minima
  • understand integration techniques, and use integration to solve area problems
  • understand partial derivatives, and find the local or absolute extrema of functions of several variables with given constraints
Course Content Limits and continuity, derivative, applications of derivative, integration, applications of integral, functions of several variables, partial derivatives, extrema of functions of several variables.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Limits pp. 448-457, 458-465
2 Continuity, The Derivative pp. 466-471, 481-488
3 Rules for Differentiation, Differentiability and Continuity, Product and Quotient Rule pp. 489-496, 506-514
4 The Chain Rule and the Power Rule, Derivatives of Logarithmic Functions, Derivatives of Exponential Functions pp. 515-522, 529-533, 534-538
5 Implicit Differentiation, Logarithmic Differentiation, Higher Order Derivatives pp. 544-548, 549-552, 557-559
6 Relative Extrema, Absolute Extrema on a Closed Interval pp. 567-577, 578-579
7 Concavity , The Second Derivative Test pp. 580-586, 587-588
8 Asymptotes, Applied Maxima and Minima pp. 589-598, 599-610
9 Indefinite Integrals, Integration with Initial Conditions, More Integration Formulas pp. 623-628, 629-632, 633-639
10 Techniques of Integration, The Definite Integral, The Fundamental Theorem of Calculus pp. 640-644, 645-650, 651-658
11 Area, Area Between Curves pp. 664-667, 668-674
12 Integration by Parts, Functions of Several Variables pp. 685-688, 745-749
13 Partial Derivatives, Higher-Order Partial Derivatives pp. 750-754, 763-765
14 Maxima and Minima for Functions of Two Variables, Lagrange Multipliers pp. 769-777, 778-784
15 Review
16 Final Exam

Sources

Course Book 1. Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, 11th Edition; E. F. Haeussler, Jr./ R. S. Paul, Prentice-Hall International Inc.
Other Sources 2. Calculus for Business, Economics, and Social Sciences, 9th Edition; R. A. Barnett / M. R. Ziegler / K. E. Byleen, Prentice-Hall
3. Calculus: A complete Course, R. A. Adams, 3rd Edition; Addison Wesley
4. Calculus with Analytic Geometry, C. H. Edwards; Prentice Hall

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 4 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 7 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

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

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Gains the ability to use knowledge by acquiring conceptual and practical understanding of all core functions of business.
2 Identifies problems related to the field of business and effectively uses scientific approaches in problem-solving and decision-making processes.
3 Demonstrates and analyzes the environmental, social, global impacts and legal consequences of practices related to core business functions.
4 Analyzes information and reports relevant to businesses at national, regional, and global levels, and sets strategic goals based on the results obtained.
5 Gains the ability to use, report, and interpret Business Information Systems and their sub-modules required for business management.
6 Plans the necessary activities such as taking risks, securing resources, conducting market analysis, and preparing business plans for starting a new venture and ensuring its sustainability with innovative and creative thinking, and applies the acquired knowledge accordingly.
7 Supports oneself and the organization in terms of innovation and continuous improvement, while being aware that the process of research and learning is lifelong and following scientific and technological developments related to business.
8 Acquires the necessary leadership and managerial skills to achieve business objectives effectively and efficiently.
9 Conducts scientific research in the field of business and reports the research findings to be used in managerial decision-making processes.
10 Uses effective verbal, written, and visual communication methods to convey information related to the field of business in the language of instruction and professional English.
11 Develops awareness of professional ethics, environmental sensitivity, sustainability, social responsibility, and cultural, societal, and universal values.
12 Takes initiative in working effectively with different disciplines or multicultural teams, assuming responsibility, conducting risk analysis, adapting to change, and applying critical thinking and problem-solving skills
13 .

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury
Prepration of Final Exams/Final Jury 1 15 15
Total Workload 57