Cauchy’s convergence 6. 12.02.2018 Linear Equation of first order Curvilinear motion of a particle criterion. in a plane: Definition of velocity and acceleration Sequential continuity and Integral surfaces passing through Projectiles, motion in a circle. 7. 19.02.2018 a given curve, surfaces orthogonal Uniform continuity of to a given system of surfaces. functions of single variable. Series of non-negative terms. Laplace Transformation-Linearity Work, power, conservative 8. 26.02.2018 of the Laplace transformation. fields and the potential energy Existence theorem for Laplace transformations, Shifting Theorems. Work done against gravity, 9. 05.03.2018 P-Test, Comparison tests Laplace transforms of derivatives potential energy of a and integrals, Multiplication of tn , gravitational field. Division by t . Sessional Exams 10. 12.03.2018 Sessional Exams Sessional Exams – 25.03.2018 Cauchy’s integral test, Inverse Laplace transforms- Relative motion, relative 11. 26.03.2018 Linearity property, Shifting Cauchy’s Root test displacement, velocity and properties. acceleration
6. 12.02.2018 Cauchy’s convergence criterion. Linear Equation of first order Curvilinear motion of a particle in a plane: Definition of velocity and acceleration 7. 19.02.2018 Sequential continuity and Uniform continuity of functions of single variable. Integral surfaces passing through a given curve, surfaces orthogonal to a given system of surfaces. Projectiles, motion in a circle. 8. 26.02.2018 Series of non-negative terms. Laplace Transformation-Linearity of the Laplace transformation. Existence theorem for Laplace transformations, Shifting Theorems. Work, power, conservative fields and the potential energy 9. 05.03.2018 P-Test, Comparison tests Laplace transforms of derivatives and integrals, Multiplication of tn , Division by t . Work done against gravity, potential energy of a gravitational field. 10. 12.03.2018 – 25.03.2018 Sessional Exams Sessional Exams Sessional Exams 11. 26.03.2018 Cauchy’s integral test, Cauchy’s Root test Inverse Laplace transforms- Linearity property, Shifting properties. Relative motion, relative displacement, velocity and acceleration
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