Course Outline: Application of Mathematics to Other Sciences
Introduction
- Importance of Mathematics in Sciences
- Course Objectives and Pedagogical Approach
Chapter 1: Applications of Mathematics in Biology
- Population Modeling and Exponential Growth
- Epidemiological Models (SIR, SEIR)
- Statistics and Probability in Genetics
- Biomedical Data Analysis
Chapter 2: Applications of Mathematics in Chemistry
- Statistics and Experimental Data Processing
- Modeling of Chemical Reactions (Kinetics and Equilibrium)
- Quantum Chemistry and Differential Equations
- Optimization of Chemical Processes and Mass Balances
Chapter 3: Applications of Mathematics in Finance
- Simple and Compound Interest Calculations
- Financial Market Modeling and Forecasting
- Portfolio Optimization and Risk Management
- Game Theory and Decision Making
Chapter 4: Applications of Mathematics in Information Theory
- Concept of Entropy and Information Transmission
- Coding and Error Correction
- Cryptography and Data Security
- Data Compression and Signal Processing
Chapter 5: Applications of Mathematics in Physics
- Differential Equations in Mechanics and Electricity
- Analysis of Oscillations and Waves
- Modeling in Thermodynamics
- Fluid Mechanics and Gas Dynamics
Conclusion
- Summary of the Covered Applications
- Future Perspectives and Further Exploration