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Basic Mathematics and Statistics for Economics (H) Semester I
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The Basic Mathematics and Statistics Course for BA (Hons) Economics Semester I, Delhi Technical Campus has been taught by Mr. Dheeraj Suri. The Video Lectures are based upon the books prescribed by the Delhi Technical Campus. The Duration of Video Lectures is approximately 50 Hours.
Course Fee : Rs. 6000
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- Live online Doubts Sessions (at least twice a week) 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
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Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of the Semester II Exams
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Axis Bank, Model Town Branch
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Demo Lectures
Demo PDF of Study Material
Demo Quiz
Exam Pattern
The Question Paper of Marks Will Have
Part
Part
Course Content of Our Video Lectures
Unit I : Preliminaries
Chapter 1 : Logic and Proofs [ Minutes]
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Logic, Proof
Chapter 2 : Sets & Relations [ Minutes]
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Sets, Sets Operations, Relations
Chapter 3 : Functions [ Minutes]
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Functions
Chapter 4 : Limits and Continuity [ Minutes]
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Limits, Series, Continuity
Chapter 5 : Simple Differentiation [ Minutes]
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Differentiability, Simple Differentiation, First order derivatives, Second order deriavatives
Unit II : Linear Algebra
Chapter 6 : Vectors [ Minutes]
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Vectors
Chapter 7 : Matrices & Determinants [ Minutes]
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Matrices
Unit III : Descriptive Statistics
Chapter 8 : Measures of Central Tendency [ Minutes]
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Arithmetic Mean, Geometric Mean, Median, Mode
Chapter 9 : Measures of Dispersion [ Minutes]
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Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Coefficient of Variation
Chapter 10 : Skewness, Moments & Kurtosis [ Minutes]
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Skewness, Moments, Kurtosis
Unit III : Elementary Probability Theory
Chapter 8 : Probability [ Minutes]
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Probability, Addition Theorem, Multiplication Theorem, Conditional Probability, Bayes Theorem
End of Syllabus
Course Description
BA 103 : Basic Mathematics and Statistics
Course Objective
The objective of this course is to provide the students fundamental knowledge of basic mathematics and statistics, and prepare them for more advanced courses in these disciplines in the later semesters. The course covers a basic introduction of set theory, functions, limits and continuity. In the statistics part, descriptive statistics and elementary probability theory are discussed.
Unit I
Preliminaries. Logic and proof techniques; sets and set operations; relations; functions and their properties; number systems. Functions: Graphs; elementary types of functions: Linear, quadratic, cubic. Continuous functions: characterizations, properties with respect to various operations and applications. Introduction to Limits, Continuity and Series; Introduction to Differentiation: first order and second order derivatives.
Unit II
Linear Algebra. Vector spaces: algebraic and geometric properties, scalar products, norms, orthogonality; linear transformations: properties, matrix representations and elementary operations.
Unit III
Descriptive Statistics. Measures of Central Tendency, Dispersion, Skewness and Kurtosis.
Unit IV
Elementary Probability Theory. Concepts of sample space and events, probability of an event; addition and multiplication theorems; conditional probability and independence of events; Bayes rule.
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References
- K. Sydsaeter and P. Hammond, Mathematics for Economic Analysis, Pearson Educational Asia: Delhi, 2002.
- P.H. Karmel and M. Polasek (1978), Applied Statistics for Economists, 4th edition, Pitman.
- Allen Webster (1997), Applied Statistics for Business and Economics: An Essential Version, 3rd edition, McGraw-Hill.