Faculty of Business and Management Sciences · Business Administration · Undergraduate
Course Objective
This course aims to equip first-year university students with the foundational skills in Analytical Thinking and Mathematical Reasoning. It focuses on developing critical analysis, logical reasoning, and effective problem-solving skills in different areas of mathematics. Students learn to construct and evaluate arguments, communicate complex ideas clearly, and apply systematic approaches to address abstract and practical challenges. This comprehensive foundation prepares students for subsequent academic studies and develops the skills necessary for lifelong learning and success in many disciplines.
Course Content
This course introduces students to the foundations of mathematical reasoning, drawing attention to the definition of analytical thinking and its relationship with numerical thinking. Following an understanding of propositional logic, mathematical logic, and proof methods, the course will focus on fundamental mathematical expressions such as solving equations, exponential and radical expressions, and mathematical solutions to real-life problems. In addition, functions and graphical solutions—critical for connecting different mathematical concepts—the concept of maximum and minimum in quadratic functions, exponential and logarithmic functions, and basic limit and derivative knowledge will be provided. Students who take this course will apply logical reasoning to solve numerical problems, discover the convenience mathematics provides in real-life situations, and learn to think analytically with the help of mathematics. The curriculum aims to develop problem-solving abilities, sharpen analytical skills, and enhance clarity in mathematical communication, serving as an important bridge to subsequent mathematical studies.
Required Resources
1. Thomas' calculus: early transcendentals. Thomas, G. B., Weir, M. D., Hass.
2. İşletme ve İktisat İçin Matematiksel Yöntemler Dowling, E. T.
3. Applied Calculus for Business, Economics, Life Sciences and Social Sciences. Raymond,A., Ziegler, M.R., Byleen, K.E. (1997).
Explanations
Assessment/Evaluation: Midterm 40%, Final 60%
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 16 | 2 | 32 |
| Out of Class Study Period | 16 | 2 | 32 |
| Midterm | 1 | 1 | 1 |
| Quiz | 0 | 0 | 0 |
| Assignment | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Final | 1 | 1 | 1 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | The Relationship Between Analytical Thinking and Mathematics | The Relationship Between Analytical Thinking and Mathematics |
| 2 | Number Sets and Their Properties | Number Sets and Their Properties |
| 3 | Exponents, Polynomials, and Factoring | Exponents, Polynomials, and Factoring |
| 4 | Fractions, Radical Numbers | Fractions, Radical Numbers |
| 5 | First-Degree Equations and Graphs | Equations, the Cartesian Coordinate System, Linear Equations and Their Graphs |
| 6 | Applications of Linear Equations in Business and Economics | Applications of Linear Equations in Business and Economics |
| 7 | Functions | Functions |
| 8 | Midterm exam | Midterm exam |
| 9 | Second-Degree Equations | Second-Degree Equations |
| 10 | Graphing of Equations and Inequalities | Graphing of Equations and Inequalities |
| 11 | Supply and Demand Equations and Market Equilibrium | Supply and Demand Equations and Market Equilibrium |
| 12 | Exponential and Logarithmic Functions | Exponential and Logarithmic Functions |
| 13 | Limit | Limit |
| 14 | Derivative | Derivative |
| 15 | General review | General review |
| 16 | Final exam | Final exam |