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 Diğer Bölümlere Verilen Ders 3 0 0 3 5
Pre-requisite Course(s)
(MATH101 veya MATH103)
Course Language English
Course Type Service Courses Given to Other Departments
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
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 Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area
2 Can apply gained knowledge and problem solving abilities in inter-disciplinary research
3 Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary
4 Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study
5 Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework
6 Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility
7 Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation
8 To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2)
9 Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge
10 Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach.
11 Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications.

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