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0:14:20

Lecture 9 - Determining a positive integer is Prime or Composite # Number Theoretic Function #

0:14:52

Lecture 8- Prime and Composite Numbers # Definition and Results #

0:28:39

Lecture 7- Divisibility and its properties

0:26:23

Lecture 6 - The Division Algorithm - Statement and Proof # Examples #

0:25:10

Lecture 6 - Problems of Characteristic Method # Example 2.3#

0:08:42

Lecture 4- Recursion # Sec 1.4 # Example 1.17

0:12:03

Lecture 3- Second Principle of Mathematical Induction ( Strong Version) # Problems

0:24:03

Lecture 2- Problems Related to Well Ordering Principle

0:21:59

PDE- Lecture 5 - The method of Characteristics # Introduction and Geometrical View

0:13:56

Lecture 4- Introduction to the Characteristics Method of Solving a PDE

0:18:11

PDE Lecture 3- First Order Equations- Quasilinear PDE #General form

0:16:45

PDE Lecture 2- Different types of Classification of a PDE# Order# Linear versus Nonlinear

0:11:59

Introduction to a PDE- Lecture 1# General form of a PDE # Well-posedness of a PDE

0:16:25

The eikonal equation- Sec 2.8- PDE

0:10:07

Properties of GCDs- Number Theory

0:14:45

Interval of Definition of Solution to Nonlinear IVP

0:22:59

Interval of Definition- of Solution of linear IVP

0:13:38

Relatively Prime Integers and Duncan's Identity

0:14:15

Greatest Common Divisor- Number Theory

0:18:40

Problems- Sec. 2.4- Differential Equations

0:14:43

Legrange Method for Quasilinear PDE

0:09:57

Polya's Theorem - Number Theory

0:30:54

Lecture 5- Problems of no. of trailing zeros- continued

0:09:44

Lecture 15 - Variation of Parameters Problems - Part 2