MAT301 / Mathematics
Syllabus
Resources
M1: Basic Statistics
Measures of Central Tendency
Mean, Median, Mode
Moments, Skewness, and Kurtosis
Calculation of moments
Skewness and its interpretation
Kurtosis and its interpretation
Correlation and Regression
Pearson's correlation coefficient
Simple linear regression
Multiple regression
Rank Correlation
Spearman’s rank correlation
Curve Fitting
Method of least squares
Fitting of straight lines
Fitting of second degree parabolas
Fitting of more general curves
M2: Basic Probability & Expectation
Discrete and Continuous Random Variables
Properties of discrete random variables
Properties of continuous random variables
Dependent and Independent Random Variables
Concept of dependence and independence
Probability Spaces
Sample spaces and events
Axioms of probability
Conditional Probability
Definition and applications
Sums of Independent Random Variables
Distribution of sums
Expectation of Discrete Random Variables
Expected value and its properties
Probability Distributions for Discrete and Continuous Variables
Discrete distributions:
Continuous distributions:
Evaluation of Statistical Parameters
M3: Test of significance for Small and large samples
Large Sample Tests
Test for a single proportion
Test for difference of proportions
Test for a single mean
Test for difference of means
Test for difference of standard deviations
Small Sample Tests
Test for single mean
Test for difference of means
Test for correlation coefficients
Test for ratio of variances
Chi-Square Test
Goodness of fit
Test for independence of attributes
M4: Numerical Methods for Solutions of Equations
Solution of Simultaneous Linear Equations -- Jacobi’s method -- Gauss-Seidel method
Solution of Algebraic and Transcendental Equations -- Bisection method -- Newton-Raphson method -- Regula-Falsi method
Interpolation Methods -- Interpolation using finite differences -- Relation between operators -- Newton’s forward and backward difference formula -- Interpolation for unequal intervals: ---- Newton’s divided difference formula ---- Lagrange’s interpolation formula
M5: Numerical Methods for Differentiation and Integration
Numerical Differentiation and Integration -- Picard’s method -- Trapezoidal rule -- Simpson’s 1/3rd rule -- Simpson’s 3/8 rule
Solution of Ordinary Differential Equations -- Taylor’s series method -- Euler’s method -- Modified Euler’s method -- Runge-Kutta method (Fourth order) -- Milne’s method -- Adam’s predictor-corrector method
Question Directory
Previous Year Questions
[⤓] Midsem-MAT301-Y2S3-BTECH-CSE-IT-OCT24
[⤓] MAT301-PYQ-BTECH-CSE-IT-Sem3Jan23
[⤓] MAT301-PYQ-BTECH-CSE-IT-Sem3Dec23
[⤓] MAT301-PYQ-BTECH-CSE-IT-Sem3Jan25
BackPapers
[⤓] MAT301-PYQ-BackQPaper-BTECH-CSE-IT-Sem3Dec24
[⤓] MAT301-PYQ-BackQPaper-BTECH-CSE-IT-Sem3Nov25
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