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Course Detail

Course Name Mathematics for Data Science
Course Code 25MA607
Program M. Tech. in Geoinformatics and Earth Observation (For Working Professionals & Regular Students)
Semester 1
Credits 3
Campus Amritapuri

Objectives and Outcomes

Course Outcomes  

CO1: 

Apply fundamental concepts from linear algebra and probability to represent and solve data-centric problems relevant to biomedical engineering and artificial intelligence. 

CO2: 

Model and analyze real-world scenarios mathematically, interpreting data to derive insights and propose scientifically sound solutions. 

Course Contents  

Mathematical Foundations – Linear Algebra- Vectors, Matrices, Eigenvalues, Eigenvectors, singular value decomposition, dimensionality reduction, Principal component analysis, linear transformations. Probability and Statistics: Random Variables, Probability Distributions, Distribution functions and properties, Discrete and Continuous, Statistical Inference – Estimation and Hypothesis Testing. 

Applied Case Studies & Mathematical Modeling: Data-Driven Problem Solving, Framing real-world biomedical and AI problems mathematically, Building and analyzing mathematical models, Applying linear algebra and probability concepts to interpret data. 

Project-Based Learning: Team and individual mini-projects based on industry-inspired use-cases. 

Text Books / References

  1. Data Mining Concepts and Techniques by Jiawei Han and Micheline Kamber 
  2. An Introduction to Probability and Statistics by Rohatgi and Saleh. 
  3. Business Analytics: Data Analysis and Decision Making by Christian Albright and Wayne Winston 

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