Engineering Mathematics-IV (B.Tech)

Probability, statistics, sets, relations and discrete mathematical techniques for computing branches.

6 महीनेअवधि 5Chapters24टॉपिक

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01Unit 1: Sets, Relations and Functions 5 टॉपिक

Sets, operations and Venn diagrams
Power set and cardinality
Relations and their properties
Equivalence relations and partial orders
Functions: one-one, onto, inverse and composition

02Unit 2: Logic, Counting and Recurrence Relations 5 टॉपिक

Propositions, connectives and truth tables
Tautology, contradiction and logical equivalence
Permutations and combinations
Pigeonhole and inclusion-exclusion principles
Linear recurrence relations and their solution

03Unit 3: Probability and Random Variables 5 टॉपिक

Classical and axiomatic probability
Conditional probability and independence
Bayes' theorem
Discrete and continuous random variables
Expectation, variance and moment generating function

04Unit 4: Probability Distributions 4 टॉपिक

Binomial distribution
Poisson distribution
Normal distribution and standard normal tables
Exponential and uniform distributions

05Unit 5: Statistical Techniques and Testing of Hypothesis 5 टॉपिक

Correlation and rank correlation
Lines of regression
Curve fitting by least squares
Sampling, null hypothesis and level of significance
t-test, chi-square test and F-test

परिचय

आप यह कर पाएँगे

Work with sets, relations, functions and their properties
Use propositional logic, counting principles and recurrence relations
Calculate probabilities using conditional probability and Bayes' theorem
Apply binomial, Poisson and normal distributions to computing problems
Use correlation, regression, curve fitting and tests of hypothesis on data

यह किसके लिए है

B.Tech second-year students (Semester 3) of Computer Science & Engineering and Information Technology under AKTU
Students building a mathematical base for data science, algorithms and machine learning

आपको क्या चाहिए

Engineering Mathematics-I and II
Scientific calculator and statistical tables

सवाल

Which syllabus is followed?

The current AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus of Engineering Mathematics-IV (Semester 3, CSE and IT). If your university or college follows a different syllabus, the centre teaches from your own university syllabus.

Is this useful for programming?

Yes. Logic, counting, recurrences and probability are used directly in algorithms, data science and machine learning.

Are statistical tables taught?

Yes. Use of normal, t and chi-square tables is practised with solved examples.