Matematika Keuangan dan Bisnis - Ep.03 Pengenalan Fungsi

Summary

In this engaging lecture on financial mathematics, the speaker introduces the concept of functions, highlighting the systematic relationships between variables. Students learn to differentiate between independent and dependent variables, explore various types of functions, including algebraic and non-algebraic, and practice graphing techniques. Key objectives include understanding function definitions, calculating values, and graphing linear and non-linear functions. The lecture emphasizes the practical application of these concepts, encouraging students to deepen their understanding and apply their knowledge in financial contexts.

Takeaways

• 😀 Functions are systematic relationships that express dependency between variables.
• 📊 Key elements of a function include independent variables, dependent variables, coefficients, and constants.
• 🔄 Independent variables do not rely on other variables, while dependent variables are influenced by them.
• 📈 There are two main types of functions: algebraic (which includes polynomial and rational functions) and non-algebraic (such as exponential and logarithmic functions).
• 📉 Examples of algebraic functions include linear, quadratic, and cubic functions, while non-algebraic functions cover trigonometric functions.
• 🖌️ The lecture included methods for graphing linear and non-linear functions, illustrating how to derive values for plotting.
• 🧮 The relationship between variables can be positive or negative, affecting the behavior of the function.
• 🔢 Coefficients are numbers in front of variables, influencing the steepness and direction of the function on a graph.
• 📏 Understanding the types of functions is crucial for analyzing and solving financial problems.
• 💡 Students are encouraged to practice graphing functions to enhance their comprehension of mathematical relationships.