IPU B.Tech 3rd Sem CSE Syllabus | Free Download

ipu btech cse 3rd sem syllabus

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Computational Methods (Paper Code: ES-201)

IPU B.Tech 3rd Sem CSE Syllabus –

IPU B.Tech 3rd Sem CSE Syllabus


IPU B.Tech 3rd Sem CSE Syllabus
Course Objectives:
This course aims to:

Teach methods to find roots of functions and minimize them.
Learn how to interpolate data and perform numerical integration.
Solve algebraic equations and fit curves using splines.
Understand how to solve differential equations numerically.
Course Outcomes:
By the end of this course, you will be able to:

Develop mathematical models for engineering problems.
Apply interpolation methods and numerical integration.
Solve systems of linear equations and fit curves using splines.
Solve differential equations numerically.

IPU B.Tech 3rd Sem CSE Syllabus


IPU B.Tech 3rd Sem CSE Syllabus: Units:

Unit I: Basic Concepts and Root Finding

Review of mathematical theorems and series
Methods to find roots of equations
Techniques for minimizing functions


Unit II: Interpolation and Integration

Different methods of interpolation
Numerical integration techniques


Unit III: Solving Linear Equations and Curve Fitting

Methods to solve systems of linear equations
Techniques for curve fitting with splines


Unit IV: Solving Differential Equations

Methods to solve ordinary differential equations
Solving partial differential equations
Textbooks:

“Numerical Mathematics and Computing” by E. Ward Cheney & David R. Kincaid


Indian Knowledge System (Paper Code: HS-203)


IPU B.Tech 3rd Sem CSE Syllabus: Course Objectives:
This course will:

Provide an understanding of the Indian knowledge system.
Introduce foundational concepts for science and technology.
Explore ancient Indian mathematics and astronomy.
Discuss ancient Indian engineering and technology.
IPU B.Tech 3rd Sem CSE Syllabus: Course Outcomes:
By completing this course, you will:

Understand the Indian knowledge system.
Apply foundational concepts in science and technology.
Appreciate ancient Indian contributions to mathematics and astronomy.
Understand ancient Indian engineering and technology.


Units:

Unit I: Introduction to Indian Knowledge System

Overview and history of Indian Knowledge System (IKS)
Insights from Vedas, Purānas, Itihāsa, Rāmāyana, Mahābhārata


Unit II: Foundational Concepts for Science and Technology

Contributions to linguistics and number systems
Framework and classification of knowledge


Unit III: Mathematics and Astronomy

Contributions of ancient Indian mathematicians
Developments in astronomy and astronomical instruments


Unit IV: Engineering and Technology

Ancient methods in metalworking, irrigation, and shipbuilding
Other technological advances in surgery and physical structures
Textbooks:

“Introduction to Knowledge System: Concepts and Applications” by B. Mahadevan, Vinayaka Rajat Bhat & Nagendra Pavana R.N.


Discrete Mathematics (Paper Code: CIC-205)

Discrete Mathematics


IPU B.Tech 3rd Sem CSE Syllabus: Course Objectives:
This course is designed to:

Introduce mathematical logic, sets, relations, and functions.
Teach algorithms and number theory.
Explain group theory and its applications.
Use graph theory for problem-solving.


IPU B.Tech 3rd Sem CSE Syllabus: Course Outcomes:
By the end of this course, you will:

Be able to construct mathematical logic to solve problems.
Analyze algorithm efficiency.
Understand concepts like Boolean algebra, number theory, and group theory.
Apply graph theory to solve various problems.


Units:

Unit I: Sets, Logic, and Proof Techniques

Understanding sets, subsets, and operations on sets
Propositional and predicate logic
Various proof techniques


Unit II: Functions and Recurrences

Study of functions and their growth
Recurrence relations and generating functions


Unit III: Group Theory

Basics of group theory and its applications
Concepts of semi-groups, monoids, and permutation groups


Unit IV: Graph Theory

Study of planar graphs, Euler and Hamiltonian paths
Shortest path problems, spanning trees, and graph traversal methods
Textbooks:

“Discrete Mathematical Structures” by B. Kolman, R. C. Busby & S.C. Ross
“Concrete Mathematics” by R. L. Graham, D. E. Knuth & O. Patashnik


These summaries of IPU B.Tech 3rd Sem CSE Syllabus provide a simple and clear understanding of the syllabus for each subject in the 3rd semester for CSE students.

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