Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
1MIS 121Business Mathematics I3+0+03521.09.2023

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Management Information Systems (English)
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course Understanding of Limits and Continuity, Foundations of Differential Calculus, applicatons of the derivative, Introduction to Transcendental Functions, Building Mathematical Skills, Real-world Applications.
Course Content foundational concepts of calculus, focusing on differential calculus and an introduction to integral calculus and the necessary background for these topics
Course Methods and Techniques Lecturing, discussion, problem solving
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof.Dr. Ali Ulvi ÖZGÜL
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Calaway S., Hoffman D., Lippman D. Business Calculus. Opentextbookstore.com, 2013.
Karris S.T. Mathematics for Business, Science and Technology, Orchard Publications, Second Edition, 2003.
Course Notes 1. Adams, R. A., & Essex, C. (2003). Calculus: a complete course (Vol. 4). Boston: Addison-Wesley.
2. Thomas, G. B., Weir, M. D., Hass, J., & Giordano, F. R. (2005). Thomas' calculus. Pearson Education India.
3. Silverman, R. A. (2002). Modern calculus and analytic geometry. Courier Corporation.
4. Dowling, E. T. (1990). Schaum's outline of theory and problems of calculus for business, economics, and the social sciences. McGraw-Hill.

Course Category
Mathematics and Basic Sciences %100

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 3 42
Hours for off-the-c.r.stud 14 5 70
Assignments 14 2 28
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 5 144

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Describe and explain the concepts of limit, continuity, derivative, and integral.
2 Recognize the fundamental ideas behind the concepts and their importance in mathematics and applied fields.
3 Solve real-world problems involving rates of change, optimization, and related rates.
4 Understand and interpret the geometric and physical interpretations of the functions and their derivatives.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 PreCalculus Background: Introduction to Basic Concepts
2 Preliminary Mathematical Models and Review: functions and their representations review of trigonometry, exponentials, and logarithms.
3 Limits and Continuity: Intuitive concept of limits, evaluating limits algebraically.
4 Limits and Continuity (Continued): one-sided limits, infinite limits and limits at infinity, continuity and the Intermediate Value Theorem.
5 Definition and Interpretation of the Derivative: basic derivative rules: power, product, quotient, and chain.
6 Applications of the Derivative: tangent and normal lines, related rates.
7 Mid-term exam
8 Applications of the Derivative (Continued): maximum and minimum values, the mean value theorem.
9 Applications of the Derivative (Continued): curve sketching using first and second derivatives, optimization problems.
10 Linear Approximation, Differentials, and Antiderivatives: linear approximation and differentials, basic antiderivatives.
11 Definite Integrals: defining the definite integral as a limit of Riemann sums, basic properties of definite integrals.
16 Final Exam

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
C1 5 1 1 2 1 4 1 3 1 1 5
C2
C3
C4

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant

  
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