Lecture Notes
Total Lectures:24
01
The Number Line
Inequalities & Properties of real numbers
02
Upper Bounds
Boundedness and interval logic
03
Least Upper Bound
LUB Property & Archimedean Property
04
Applications of Least Upper Bound Property
LUB Property & Archimedean Property
05
Few more applications of Least Upper Bound Property
Existense of $n^{th}$ root of positive real number and nested inteval Theorem
06
Absolute Value
Traingle inequality and bounded sets
06
Sequences
Definition of sequence, convergent and bounded sequences
06
Algerba of Limits
sum, product, scalar multipples of sequences
10
Monotone Convergence Theorem
Monotone Convergence Theorem and its applications
07
Supremum Proofs
Formalizing the Supremum concepts