Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: Sets, Relations and FunctionsUnit 2: Logic, Counting and Recurrence RelationsUnit 3: Probability and Random Variables
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Probability DistributionsUnit 5: Statistical Techniques and Testing of Hypothesis
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 3 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 5 chapters · 24 topics
01Unit 1: Sets, Relations and Functions
5 topics+
- 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 topics+
- 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 topics+
- 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 topics+
- Binomial distribution
- Poisson distribution
- Normal distribution and standard normal tables
- Exponential and uniform distributions
05Unit 5: Statistical Techniques and Testing of Hypothesis
5 topics+
- 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
About this course
You will be able to
- 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
Who it is for
- 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
What you need
- Engineering Mathematics-I and II
- Scientific calculator and statistical tables
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
Questions
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.
