|
CO
|
COGNITIVE ABILITIES
|
COURSE OUTCOMES
|
|---|---|---|
|
CO1
|
REMEMBERING
|
Recall definitions, standard results, and fundamental
concepts related to Riemann integration, convergence
of sequences and series, and power series.
|
|
CO2
|
UNDERSTANDING
|
Explain the concepts of Riemann integrability,
improper integrals, convergence and divergence of
series, and the meaning of absolute and conditional
convergence.
|
|
CO3
|
APPLYING
|
Apply appropriate tests to determine convergence of
sequences and series, evaluate Riemann and improper
integrals, and obtain expansions of elementary
functions using power series.
|
|
CO4
|
ANALYSING
|
Analyze the behavior of sequences, series, and power
series using limit superior, limit inferior, and
convergence criteria, and distinguish between different
types of convergence.
|
|
CO5
|
EVALUATING
|
Assess the validity of convergence tests, integrability
conditions, and series expansions, and justify
conclusions using rigorous mathematical reasoning.
|
|
CO6
|
CREATING
|
Construct power series representations, Taylor and
Maclaurin expansions, and develop approximations or
simple differential equation solutions using series
methods.
|
