COURSE OUTLINE OF MTH001: ELEMENTRMATHEMATICS
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Segment I: Discrete Mathematics | |
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Lecture No. |
Description |
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1 |
Logic |
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2 |
Truth Table |
|
3 |
Logic Equivalence, Laws of the Algebra of Propositions, Translating Word Statements to Symbolic Notation & Vice Versa |
|
4 |
BiConditional Statements and their Equivalence |
|
5 |
Arguments, Valid and In Valid arguments |
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6 |
Sets, Venn Diagram and Membership Table |
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7 |
Operations on sets,Venn Diagrams for operations on sets |
|
8 |
Ordered Pairs, Relations and Matrix Representation of a matrix |
|
9 |
Types of relations and Directed graph |
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10 |
Irreflexive and antisymmetric relations and partially ordered relations |
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11 |
Functions, Domain Codomain and Range |
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12 |
Types of function |
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13 |
Sequence, Arithmetic and Geometric Sequence |
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14 |
Series ,Sum of Arithmetic and Geometric Series |
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Segment II: Business Mathematics | |
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Lecture No. |
Description |
|
15 |
Performing basic arithmetic operations using Microsoft Excel |
|
16 |
Basic calculations of percentages and investments using Microsoft Excel |
|
17 |
Discount, Simple and compound interest, Average due date |
|
18 |
Annuity, Accumulated value, Accumulation Factor, Discount Factor, Discounted value |
|
19 |
Matrix, its Dimension and Types of matrix |
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20 |
Operations on Matrices |
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21 |
Merchandising |
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Segment III: Statistics | |
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Lecture No. |
Description |
|
22 |
Introduction to Statistics |
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23 |
Data Representation |
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24 |
The Central Tendency of a data-set |
|
25 |
Median, Empirical Relation, Quartiles |
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26 |
Geometric mean, Harmonic mean & relationship between them |
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27 |
Measures of Dispersion |
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28 |
Mean Deviation, Standard Deviation and Variance & Coefficient of variation |
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29 |
Permutations, Combinations |
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30 |
Definitions of Probability |
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31 |
Relative Frequency, Axiomatic Definition & Laws of Probability |
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32 |
Independent and Dependent Events, Multiplication Theorem & Marginal Probability |