# B.Tech Mathematics-IV AKTU Quantum for 2024 Exam

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Mathematics-IV Aktu Quantum is a vital resource for B.Tech 2nd-year students, offering a comprehensive exploration of advanced mathematical concepts. This course encompasses diverse topics such as differential equations, transforms, and complex analysis.

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## Maths-4 AKTU Quantum Series for b.tech 2nd-year Download for 2024 Exam

We will also upload Handwritten notes on every subject.

### Maths-4 AKTU Quantum Detailed Syllabus

Unit:1- Partial Differential Equations

Cauchy’s method of characteristics, Charpit’s method, Lagrange’s equations, origin of partial differential equations, first-order linear and nonlinear partial equations, Higher order linear partial differential equations that can be reduced to linear partial differential equations with constant coefficients are solved.

Unit:2- Applications of Partial Differential Equations

Categorization of second order linear partial differential equation Technique for separating variables, Two-dimensional solution of the wave and heat conduction equation Laplace formula for two-dimensional Transmission line equations.

Unit:3- Statistical Techniques I

Introduction: Skewness, Kurtosis, Moments, Moment Generating Function (MGF), Measures of Central Tendency Curve Fitting Using the least squares method Fitting exponential curves, second-degree parabolas, and straight linesboth rank and correlation correlation, Regression analysis includes nonlinear regression, regression coefficients, properties of regressions coefficients, and regression lines of y on x and x on y.

Unit:4- Statistical Techniques II

Probability and Distribution:

First of all, The law of probability in addition and multiplication Probability with conditions, The Bayesian Theorem Random variables (both continuous and discrete) Expectation and variance, probability mass function and probability density function, Binomial, Poisson, and normal distributions are examples of discrete and continuous probability distributions.

Unit:5- Statistical Techniques III

Sampling, Testing of Hypothesis and Statistical Quality Control:

Introductory remarks Theory of Sampling (Small and Large), Hypothesis, Alternative Hypothesis, Null Hypothesis Examining a Theory, Degree of importance, Limitations on confidence Test for the significance of the mean difference, The Chi-square, F, and T-tests, ANOVA stands for one-way analysis of variance.SQC stands for statistical quality control. P, NP, and C charts are examples of control charts. Control charts, control charts for variables (X and R charts), and control charts.