CO1: Review fundamental concepts of sets and set operations.

CO2: Analyze the geometry of functions and their properties.

CO3: Explain the process of differentiation 

CO4: Analyse behaviour of functions using differentiation

CO5: Analyse diverse characteristics of functions using CAS

Course Outcomes:

CO1: Examine fundamental concepts of Vector spaces, subspaces, basis, dimension and coordinates. (A)

CO2: Apply the properties of linear transformations, matrix representations, linear functionals,  double dual spaces, and the transpose of linear transformations. (A)

CO3: Compute eigenvalues and eigenvectors of linear transformations and  explain  simultaneous triangulation and diagonalization. (A)

CO4: Explain Direct Sum Decompositions, Invariant Direct Sums and Primary Decomposition  Theorem. (An)

CO1: Describe the general characteristics of random variables 

CO₂: Explain various properties of some important random variables and establish the applications of probability distributions

CO3:Illustrate the uses of Tchebycheff’s Inequality, Laws of Large Numbers and Central Limit theorem

CO4: Explain the concepts of Statistic and Sampling distribution

CO5:Solve numerical problems associated with topics covered in various modules using R built-in functions