Mathematics-I for Computer Science and Engineering stream (22MATS11)

label_important 1.1 Polar curves

label_important1.2 Pedal equation of polar curves

label_important1.3 Derivatives of arcs

label_important 1.4 Radius of curvature in cartesian

label_important 1.5 Radius of curvature in parametric

label_important 1.6 Radius of curvature in polar

label_important 1.7 Pedal forms

label_important 2.1 Taylor & Maclaurin Series

label_important2.2 Indeterminate Forms (L Hospital)

label_important 2.3 Partial Differentiation

label_important 2.4 Total Derivatives (Chain Rule)

label_important 2.5 Change of variable (Composite Function)

label_important 2.6 Jacobian's

label_important 2.7 Maxima & Minima

label_important 3.1 Linear Differential Equation

label_important3.2 Bernoulli’s Equation

label_important 3.3 Exact Differential Equations

label_important 3.4 Orthogonal Trajectories

label_important 3.5 Newton's Law of Cooling

label_important 3.6 First Order Non-linear Differential Equations

label_important 3.7 Clairaut's Equation

label_important 4.1 Introduction to Congruences

label_important4.2 Linear Congruences

label_important 4.3 The Remainder Theorem

label_important 4.4 Polynomial Congruence

label_important 4.5 Linear Diophantine Equation

label_important 4.6 System of Linear Congruences

label_important 4.7 Fermat's Little Theorem

label_important 4.8 Wilson's Theorem

label_important 4.9 Euler's Theorem

label_important 4.10 RSA algorithm

label_important 5.1 Matrix Introduction

label_important5.2 Rank of a matrix (Echelon form)

label_important 5.3 Rank of a matrix (Normal form or Canonical form)

label_important 5.4 Consistency of Homogenous Linear Equations

label_important 5.5 Gauss – Elimination method

label_important 5.6 Gauss – Jordan method

label_important 5.7 Gauss - Seidal Method

label_important 5.8 Eigen values of matrix by power method