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Course Detail

Course Name Algebra and Number Theory
Program 5 Year Integrated B.C.A – M.C.A
Credits 3
Campus Mysuru

Syllabus

Unit I

Biological neurons and brain inspiration. Artificial neuron concept. McCulloch–Pitts neuron model. Threshold logic units. Linear separability.

Unit II

Learning paradigms: Supervised learning, Unsupervised learning. Hebbian learning rule. Perceptron learning algorithm. Adaline and LMS rule. Limitations of single‑layer perceptrons.

Unit III

MultiLayer Neural Networks. Need for hidden layers. Multi‑Layer Perceptron (MLP) architecture. Activation functions: Sigmoid, Tanh, ReLU (conceptual introduction only). Network capacity and representation power.

Unit IV

Training Neural Networks. Error functions. Backpropagation algorithm (conceptual and mathematical overview). Gradient descent learning. Learning rate, momentum. Convergence behavior. Overfitting and generalization.

Unit V

Pattern classification. Function approximation. Associative memory. Hopfield networks (intro). Limitations of neural networks: Local minima. Interpretability. Data dependency. Ethical considerations in neural decision systems.

Objectives and Outcomes

Course Objective(s) 

  • Introduce the biological inspiration and mathematical foundations of neural networks. 
  • Develop an understanding of basic neuron models and learning rules. 
  • Enable students to analyze single‑layer and multi‑layer neural network architectures. 
  • Explain training mechanisms, convergence issues, and limitations of neural networks. 
  • Provide a conceptual foundation for advanced neural and deep learning courses 

Course Outcomes 

COs 

Description 

CO1 

Analyze the biological and mathematical basis of artificial neural networks 

CO2 

Explain and evaluate neuron models and learning rules 

CO3 

Analyze singlelayer and multilayer neural network architectures 

CO4 

Evaluate training algorithms, convergence behavior, and generalization issues 

CO5 

Assess the suitability and limitations of neural networks for realworld problems 

CO-PO Mapping 

PO 

PO1 

PO2 

PO3 

PO4 

PO5 

PO6 

PO7 

PO8 

CO 

CO1 

CO2 

CO3 

CO4 

CO5 

Textbooks

  • Neural Networks and Learning Machines, 3rd Edition by Simon Haykin. Pearson, 2009.
  • Artificial Neural Networks by B. Yegnanarayana. PHI Learning, 2009.

Evaluation Pattern

Assessment 

Weightage (%) 

Midterm 

25 

Continuous Assessment 

25 

End Semester Exam 

50 

Total Marks 

100 

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