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Savitribai Phule Pune University, Maharashtra
Information Technology
Engineering Mathematics I (2019 Pattern)
Savitribai Phule Pune University, Maharashtra, Information Technology Semester 1, Engineering Mathematics I (2019 Pattern) Syllabus
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Unit  1 Differential Calculus
1.1 Principles of Statics
1.2 Force system
1.3 Resolution and composition of forces
1.4 Resultant of two concurrent forces
1.5 Moment of a force
1.6 Varignon’s Theorem [Law of Moments]
1.7 Couple
1.8 Resultant of parallel general force system
Unit  2 Fourier Series
2.1 Moment of area
2.2 Centroid of plane lamina and wire bends
2.3 Moment of Inertia
2.4 Friction
2.5 Application of friction on inclined planes Wedges and ladders friction Application to flat belt
Unit  3 Partial Differentiation
3.1 Free Body Diagram Equilibrium of Concurrent
3.2 Parallel Forces in A Plane Equilibrium of General Forces in A Plane Equilibrium of Three Forces in A Plane
3.3 Types of beams simple and compound beams
3.4 Type of supports and reaction
3.5 Forces in space
3.6 Resultant of concurrent and parallel forces in a space
3.7 Equilibrium of concurrent and parallel forces in a space.
Unit  4 Applications of Partial Differentiation
4.1 Two Force Member
4.2 Analysis of plane trusses by Method of joints Analysis of plane trusses by method of section
4.3 Cables subjected to point load multi force member
Unit  5 Linear AlgebraMatrices, System of Linear Equations
5.1 Kinematics of linear motion Basic Concepts Equation of motion for constant acceleration Motion under gravity
5.2 Variable acceleration motion curves
5.3 Kinematics of curvilinear motion Basic Concepts Equation of motion in Cartesian coordinates
5.4 Equation of motion in path coordinates Equation of motion in polar coordinates Motion of projectile.
Unit  6 Linear AlgebraEigen Values and Eigen Vectors, Diagonaliztion
6.1 Kinetics Newton’s Second Law of motion Application of Newton’s Second Law.
6.2 Work power energy conservative and nonconservative forces Conservation of energy for motion of particle
6.3 Impulse Momentum Direct central impact.
6.4 Coefficient of restitution
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Other Subjects of Semester1
Engineering physics (2019 pattern)
Engineering chemistry (2019 pattern)
Engineering mechanics (2019 pattern)
Engineering mathematics i (2019 pattern)
Basic electrical engineering (2019 pattern)
Basic electronics engineering (2019 pattern)
Programming and problem solving (2019 pattern)
Systems in mechanical engineering (2019 pattern)
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