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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.**

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**Demo Lectures**

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

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**Exam Pattern**

**The Question Paper of Marks Will Have **

**Part **

**Part**

**Course Content**** of Our ****Video Lectures**

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

**Unit I : Preliminaries**

**Chapter 1 : Logic and Proofs [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

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**Important Topics Covered**

**Logic, Proof **

**Logic, Proof**

**Chapter 2 : Sets & Relations [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

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**Important Topics Covered**

## **Sets, Sets Operations, Relations**

**Sets, Sets Operations, Relations**

**Chapter 3 : Functions [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

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**Important Topics Covered**

**Functions**

**Functions**

**Chapter 4 : Limits and Continuity [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

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**Important Topics Covered**

## **Limits, Series, Continuity**

**Limits, Series, Continuity**

**Chapter 5 : Simple Differentiation [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

**Number of MCQ Tests on this Chapter Tests**

**Important Topics Covered**

**Differentiability, Simple Differentiation, First order derivatives, Second order deriavatives **

**Differentiability, Simple Differentiation, First order derivatives, Second order deriavatives**

**Unit II : Linear Algebra**

**Unit II : Linear Algebra**

**Chapter 6 : Vectors [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

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**Important Topics Covered**

**Vectors **

**Vectors**

**Chapter 7 : Matrices & Determinants [ Minutes]**

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**Important Topics Covered**

## **Matrices**

**Matrices**

**Unit III : Descriptive Statistics**

**Unit III : Descriptive Statistics**

**Chapter 8 : Measures of Central Tendency [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

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**Important Topics Covered**

**Arithmetic Mean, Geometric Mean, Median, Mode **

**Arithmetic Mean, Geometric Mean, Median, Mode**

**Chapter 9 : Measures of Dispersion [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

**Number of MCQ Tests on this Chapter Tests**

**Important Topics Covered**

## **Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Coefficient of Variation**

**Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance, Coefficient of Variation**

**Chapter 10 : Skewness, Moments & Kurtosis [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

**Number of MCQ Tests on this Chapter Tests**

**Important Topics Covered**

**Skewness, Moments, Kurtosis **

**Skewness, Moments, Kurtosis**

**Unit III : Elementary Probability Theory**

**Unit III : Elementary Probability Theory**

**Chapter 8 : Probability [ Minutes]**

**Number of Lectures Lectures**

**Total Duration of Lectures Minutes**

**Number of Questions in Notes Questions**

**Number of MCQ Tests on this Chapter Tests**

**Important Topics Covered**

**Probability, Addition Theorem, Multiplication Theorem, Conditional Probability, Bayes Theorem**

**Probability, Addition Theorem, Multiplication Theorem, Conditional Probability, Bayes Theorem**

**End of Syllabus**

**Course Description**

**BA 103 : Basic Mathematics and Statistics**

Course Objective

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.

.

**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.