MATH 1F
Linear Algebra:
Matrices and matrix operations
Systems of linear equations
Matrix transformations
Eigenvalues and eigenvectors
Singular value decomposition (SVD)
Optimization:
Linear programming
Integer programming
Nonlinear programming
Convex optimization
Heuristics and metaheuristics
Probability and Statistics:
Probability theory
Random variables and probability distributions
Descriptive statistics and data visualization
Statistical inference and hypothesis testing
Regression analysis and correlation
Data Analysis and Visualization:
Exploratory data analysis techniques
Data cleaning and preprocessing
Data visualization using graphs and charts
Statistical modeling and analysis
Interpretation of results
Forecasting:
Time series analysis and forecasting techniques
Seasonality and trend analysis
Forecast accuracy evaluation
Forecasting models (e.g., exponential smoothing, ARIMA)
Simulation:
Simulation modeling and design
Generating random numbers and random variates
Monte Carlo simulation
Variance reduction techniques
Simulation output analysis
Decision Analysis:
Decision-making under uncertainty
Decision trees and influence diagrams
Utility theory and decision criteria
Sensitivity analysis and risk assessment
Decision support systems
Network Analysis:
Graph theory fundamentals
Network representation and analysis
Shortest path algorithms (e.g., Dijkstra's algorithm)
Minimum spanning tree algorithms
Network flow models (e.g., maximum flow, minimum cost flow)
Mathematical Modeling:
Formulating real-world problems into mathematical models
Model validation and calibration
Optimization modeling
Sensitivity analysis and model interpretation
Model implementation and solution techniques
These topics provide a general overview of the mathematical concepts and techniques that may be covered in an Information System Business Analytics course. The actual curriculum may vary depending on the specific course and institution. It's recommended to refer to your course syllabus or consult with your instructor for a detailed outline of the topics covered.