Mathematics for Economics – I [IPU]

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Mathematics for Economics – I for Economics (H) Semester I, GGS IPU

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The Mathematics for Economics – I Course for BA (Hons) Economics Semester I, GGS IP University has been taught by Mr. Dheeraj Suri. The Video Lectures are based upon the books prescribed by the University of Delhi. The Duration of Video Lectures is approximately 50 Hours.

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  • Video Lectures Cover Theory Portions Exchaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals

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

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Demo Lectures

Real Number System
Convex Sets

Demo PDF of Study Material

Demo Test

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Time Allowed for this Test is 10 Minutes

Time Allowed for this Test is 10 Minutes


Real Numbers Test #1

1. Please Read the Questions and all the options Carefully, Before Selecting Your Choice.
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3. The Paper has ten Questions
4. Time Allowed is 10 Minutes.
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1 / 10

The sum of a rational and an irrational number is

2 / 10

The set A = {0, 1, 2, 3, ....} represents, set of

3 / 10

The sum of two different irrational numbers is always

4 / 10

If a number has non terminating but repeating decimal representation then it is

5 / 10

If a number has non terminating and non repeating decimal representation then it is

6 / 10

For some integer 'p' every odd integer is of the form

7 / 10

The number 'π' is

8 / 10

The number in the form of 4p + 3, where p is a whole number, will always be

9 / 10

The product of two different irrational numbers is always

10 / 10

The product of a rational and an irrational number is

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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.

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

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

Introduction to infinite series.

Limits of Functions, Differentiability of 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.

Introduction to Matrices and Properties.

Matrices representation and operations

Solution to linear equations and inequalities, linear mappings orthogonality

Unit – IV : Real Linear Algebra – II

Lecture Details

Number of Lectures   13 Lectures

Total Duration of Lectures  609 Minutes

Important Topics Covered

Determinants and economic applications

Eigen values and Eigen vectors

Definiteness of matrices

Leontief input output model

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