Mathematical foundations of Computer Science
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Mathematical foundations of Computer Science Syllabus — Unit-wise Content
The official GTU curriculum for Mathematical foundations of Computer Science (subject code 3710214) as prescribed for ITAC · Semester 1 divides the course into 6 units, covering 26 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (3710214)Unit 1 Probability mass, density, and cumulative distribution functions,
- Parametric families of distributions
- Expected value
- conditional expectation
- Applications of the univariate and multivariate Central Limit Theorem
- Probabilistic inequalities
- Markov chains
Unit 2 Random samples, sampling distributions of estimators, Methods of
- Moments and Maximum Likelihood
Unit 3 Statistical inference, Introduction to multivariate statistical models
- regression and classification problems
- principal components analysis
- The problem of overfitting model assessment
Unit 4 Graph Theory
- Planar graphs
- graph colouring
- hamilton circuits and euler cycles
- Permutations and Combinations with and without repetition
- Specialized techniques to solve combinatorial enumeration problems
Unit 5 Computer science and engineering applications
- Data mining
- Network protocols
- analysis of Web traffic
- Computer security
- Software engineering
- Computer architecture
- operating systems
- distributed systems
- Machine learning
Unit 6 Recent Trands in various distribution functions in mathmatical field
- of computer science for varying fields like bioinformatic
- soft computing, and computer vision
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