Engineering Mathematics-II (BSC-201)
Program: B.Tech Civil Engineering
Category: Basic Science Course
Semester: 2
Credits: 5
L-T-P: 3- 2- 0
Description
Instructor

Dr. Ashish Kumar

Assistant Professor
Department Of Applied Sciences
Course Outcomes
  • To understand probability and random variables and various discrete and continuous probability distributions and their properties
  • Calculate probabilities, and derive the marginal and conditional distributions of bivariate random variables
  • Analyze statistical data using measures of central tendency, dispersion and location
  • Understand and discuss the issues surrounding sampling and significance
  • Develop analytical skills in structuring and interpreting the business problems statistically
Evaluation Scheme
MST 10
MST_1 10
Assignment 20
Attendance 10
Total Internal 50
Total External 100
Overall Total 150
Course Materials

Unit 1

Theory of Computation
Axioms of Probability
Updated on: 2026-05-05
Weblink
Bernoulli trials
Updated on: 2026-05-05
Weblink
Binomial distribution
Updated on: 2026-05-05
Weblink
Conditional probability
Updated on: 2026-05-05
Weblink
Discrete random variables
Updated on: 2026-05-05
Weblink
Expectation, Variance and moments of discrete random variables
Updated on: 2026-05-05
Weblink
Joint and Marginal distribution of discrete random variables
Updated on: 2026-05-05
Weblink
Multinomial distribution
Updated on: 2026-05-05
Weblink
Poisson distribution
Updated on: 2026-05-05
Weblink
Probability mass function
Updated on: 2026-05-05
Weblink
Probability spaces
Updated on: 2026-05-05
Weblink

Unit 2

Theory of Computation
Chebyshev's Inequality
Updated on: 2026-05-05
Weblink
Introduction to Continuous Random Variables
Bayes' theorem
Updated on: 2026-05-05
Weblink
Bivariate distributions
Updated on: 2026-05-05
Weblink
Conditional density
Updated on: 2026-05-05
Weblink
Continuous random variables
Updated on: 2026-05-05
Weblink
Distribution functions
Updated on: 2026-05-05
Weblink
Expectation of continuous random variables
Updated on: 2026-05-05
Weblink
Exponential distribution
Updated on: 2026-05-05
Weblink
Gamma distribution
Updated on: 2026-05-05
Weblink
Marginal density
Updated on: 2026-05-05
Weblink
Normal distribution
Updated on: 2026-05-05
Weblink
Probability density functions
Updated on: 2026-05-05
Weblink
Variance of continuous random variables
Updated on: 2026-05-05
Weblink

Unit 3

Correlaion & Regression
Central tendency
Updated on: 2026-05-05
Weblink
Coefficient of regression
Updated on: 2026-05-05
Weblink
Correlation coefficients
Updated on: 2026-05-05
Weblink
Kurtosis and Coefficient of kurtosis
Updated on: 2026-05-05
Weblink
Lines of regression
Updated on: 2026-05-05
Weblink
Mean, median, and mode
Updated on: 2026-05-05
Weblink
Measures of dispersion
Updated on: 2026-05-05
Weblink
Quartile deviation
Updated on: 2026-05-05
Weblink
Rank correlation methods
Updated on: 2026-05-05
Weblink
Skewness and Karl Pearson's coefficient of skewness
Updated on: 2026-05-05
Weblink

Unit 4

Statistics-I
Concept of Test Statistic
Updated on: 2026-05-05
Weblink
Errors in Hypothesis Testing
Updated on: 2026-05-05
Weblink
Introduction to Statistical Hypothesis
Updated on: 2026-05-05
Weblink
Null and Alternative Hypotheses
Updated on: 2026-05-05
Weblink
Paired t-Test
Updated on: 2026-05-05
Weblink
t-Test for Difference of Means (Independent Samples)
Updated on: 2026-05-05
Weblink
t-Test for Single Mean
Updated on: 2026-05-05
Weblink
t-Test: Introduction and Conditions
Updated on: 2026-05-05
Weblink
Z-Test for Difference of Means
Updated on: 2026-05-05
Weblink
Z-Test for Single Mean
Updated on: 2026-05-05
Weblink
Z-Test: Introduction and Conditions
Updated on: 2026-05-05
Weblink

Unit 5

Statistics-II
Assumptions and Application of F-Test
Updated on: 2026-05-05
Weblink
Assumptions and Limitations of Chi-Square Test
Updated on: 2026-05-05
Weblink
Chi-Square Test for Goodness of Fit
Updated on: 2026-05-05
Weblink
Chi-Square Test for Independence of Attributes
Updated on: 2026-05-05
Weblink
F-Test for Equality of Two Variances
Updated on: 2026-05-05
Weblink
Introduction to Chi-Square Test
Updated on: 2026-05-05
Weblink
Introduction to F-Test
Updated on: 2026-05-05
Weblink
PPT
Updated on: 2026-05-05
Weblink Weblink
Question Bank
Updated on: 2026-05-05
Weblink Weblink Weblink Weblink Weblink