**Welcome to Prime Academy Delhi**

**Course Fee : Rs. 7000**

**Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of Semester I Exams.**

**Once You get the access you need to login and download our APP and all the lectures from your login account and play in your device.**

**You will Get**

**Full Course Video Lectures****Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions****Online Discussion Forum to Post Your Queries to Discuss with Faculty & other fellow Students****Live online Doubts Sessions for resolution of Doubts****Mock Tests at the Website****Video Lectures Cover Theory Portions Exchaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals**

**On Payment of Fee we will create your account on our website & you need to login and download all the lectures & our APP through that login account**

**Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of the Semester Exams**

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**To purchase any course you need to transfer the amount either through Google Pay or PhonePe at 9811261671 or Paytm at 9899192027 or Transfer through net banking IMPS into the following account**

**Account Details**

**Dheeraj Suri**

**Saving Account Number**

**392010100053871**

**Axis Bank, Model Town Branch**

**Delhi – 110009**

**IFS Code : UTIB0000392**

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**GPay Number : +91 9811261671**

**PhonePe Number : +91 9811261671**

**Paytm Number : 9899192027**

**After transfer update us with payment details through Whatsapp at +91 9899192027**

**Demo Lectures**

**Demo Lectures****Demo PDF of Study Material**

**Demo PDF of Study Material****Demo Test**

**Demo Test**** Course Content of Our ****Video Lectures**

**Course Content of Our****Video Lectures****Unit – I : Preliminaries**

**Lecture Details**

**Number of Lectures 15 Lectures**

**Total Duration of Lectures 626 Minutes**

**Important Topics Covered**

** ****►** Logic – Truth Tables – Tautologies and Predicate Logic.

**Logic – Truth Tables – Tautologies and Predicate Logic.****►**** ****►** Sets and its operations – Convex sets and its properties, Relations

**Sets and its operations – Convex sets and its properties, Relations**

**►**** ****►** Functions, Number Systems, Basic Graph Theory

**Functions, Number Systems, Basic Graph Theory**

**►****Unit – II : Sequences, Series and Limits**

**Lecture Details**

**Number of Lectures 15 Lectures**

**Total Duration of Lectures 635 Minutes**

**Important Topics Covered**

** ****►** Sequence and their limits, Monotone sequences, Properly divergent sequences

**Sequence and their limits, Monotone sequences, Properly divergent sequences****►**** ****►** Introduction to infinite series.

**Introduction to infinite series.**

**►**** ****►** Limits of Functions, Differentiability of functions

**Limits of Functions, Differentiability of functions**

**►**** ****►** Uniform Continuity, Monotone and Inverse functions

**Uniform Continuity, Monotone and Inverse functions**

**►****Unit – III : Real Linear Algebra – I**

**Lecture Details**

**Number of Lectures 4 Lectures**

**Total Duration of Lectures 190 Minutes**

**Important Topics Covered**

** ****►** Vector Spaces, Sub Spaces, Linear Dependence.

**Vector Spaces, Sub Spaces, Linear Dependence.****►**** ****►** Introduction to Matrices and Properties.

**Introduction to Matrices and Properties.**

**►**** ****►** Matrices representation and operations

**Matrices representation and operations**

**►**** ****►** Solution to linear equations and inequalities, linear mappings orthogonality

**Solution to linear equations and inequalities, linear mappings orthogonality**

**►****Unit – IV : ****Real Linear Algebra – II**

**Real Linear Algebra – II**

**Lecture Details**

**Number of Lectures 13 Lectures**

**Total Duration of Lectures 609 Minutes**

**Important Topics Covered**

** ****►** Determinants and economic applications

**Determinants and economic applications****►**** ****►** Eigen values and Eigen vectors

**Eigen values and Eigen vectors**

**►**** ****►** Definiteness of matrices

**Definiteness of matrices**

**►**** ****►** Leontief input output model

**Leontief input output model**

**►****Syllabus as Prescribed by GGS IPU**

**Syllabus as Prescribed by GGS IPU****Unit – I: Preliminaries**Logic – Truth tables — Tautologies and predicate logic Sets and its operations Convex sets and its properties – Relations – Functions Number systems Basic graph theory

**Unit – II: Sequences, Series and Limits**

Sequences and their limits Monotone sequences Limit theorems Properly divergent sequences–Introduction to infinite series Limits of functions Differentiability of functions Uniform continuity Monotone and inverse functions

**Unit – III: Real Linear Algebra – I**

Vector spaces — Sub-spaces – Linear dependence- Introduction to matrices and properties – Matrices representation and operations … Solution to linear equations and inequalities – Linear mappings- Orthogonality

**Unit – IV: Rea-lLinear Algebra – II**

Determinants and economic application Eigenvalues and eigcnvectors· Economic applications – Definiteness of matrices – Leontief system Input-output model and other applications