Engineering Maths 4 [All Branches] ( Videos + Handmade Notes ) AKTU

Description
This series is completely for beginners if you don't know the basics its completely fine then also you can easy learn from this series and understand the complex concept of maths 4 in a easy way
Branches Covered ( Comps , Mechanical , Civil , EXTC , Electrical , Electronics )
Handmade Notes : Notes are Brilliant , Easy Language , East to understand ( Student Feedback )
Exam ke Pehle Notes ek baar Dekhlo revision aise hi jata hai
Complex Integration
Matrices / Linear Algebra : Matrix Theory
Probability
Sampling
Mathematical Programming
Vector Calculus (Mech /Civil )
Linear Programming ( Mech /Civil )
Correlation (EXTC/Electrical/Electronics)
Coming Soon
Nonlinear Programming
Calculus of Variation
Linear Algebra : Vector space 
Statistical Techniques I
 Introduction to Probability Distribution
 Discrete Random Variable in Probability Distribution
 Distribution function of Discrete Random Variable
 Continuous Random Variable in Probability Distribution
 Continuous Distribution Function in Probability Distribution
 Expectation in Probability Distribution
 Mean and Variance Part 1 in Probability Distribution
 Mean and Variance Part 2 in Probability Distribution
 Moments and Moments Generating Function Part #1 in Probability Distribution
 Moments and Moments Generating Function Part #2 in Probability Distribution

Statistical Techniques II
 Introduction to Probability Distribution Copy
 Discrete Random Variable in Probability Distribution Copy
 Distribution function of Discrete Random Variable Copy
 Continuous Random Variable in Probability Distribution Copy
 Continuous Distribution Function in Probability Distribution Copy
 Expectation in Probability Distribution Copy
 Mean and Variance Part 1 in Probability Distribution Copy
 Mean and Variance Part 2 in Probability Distribution Copy
 Moments and Moments Generating Function Part #1 in Probability Distribution Copy
 Moments and Moments Generating Function Part #2 in Probability Distribution Copy
 Binomial Probability Distribution Copy
 Poisson Distribution with Solved Example Copy
 Normal Distribution Full Basic Concept Copy
 Normal distribution with Solved Example Copy

Statistical Techniques III
 What Is Sampling Copy
 Large Sampling Problems Copy
 Large Sampling Test Theory+Numerical Copy
 Hypothesis Testing Full concept Copy
 Testing Difference Between Means(case_1) With Examples Copy
 Small Sample Test Example Copy
 Small Sample Test Copy
 Testing Difference Between Means(case_1) With Examples Part 2 Copy
 Testing Difference Between Means(case_2) Copy
 Non Parametric Test Type_1_Numerical Copy
 Non Parametric Test Copy
Want to Clear your Engineering Math’s 4 in first attempt without any problem  Enroll this courses  Video’s for all branches in Hindi for Beginners
This series is completely for beginners if you don’t know the basics its completely fine then also you can easy learn from this series and understand the complex concept of maths 4 in a easy way
Branches Covered ( Comps , Mechanical , Civil , EXTC , Electrical , Electronics )
Handmade Notes : Notes are Brilliant , Easy Language , East to understand ( Student Feedback )
Exam ke Pehle Notes ek baar Dekhlo revision aise hi jata hai

Complex Integration

Matrices / Linear Algebra : Matrix Theory

Probability

Sampling

Mathematical Programming

Vector Calculus (Mech /Civil )

Linear Programming ( Mech /Civil )

Correlation (EXTC/Electrical/Electronics)
Coming Soon

Nonlinear Programming

Calculus of Variation

Linear Algebra : Vector space
Engineering MathematicsIV is semester 4 subject of final year of computer engineering in Mumbai University. Prerequisite for studying this subject are Engineering MathematicsI, Engineering MathematicsII, Engineering MathematicsIII, Binomial Distribution. Course Objectives of Engineering MathematicsIV aims to learn Matrix algebra to understand engineering problems. Line and Contour integrals and expansion of a complex valued function in a power series. ZTransforms and Inverse ZTransforms with its properties. The concepts of probability distributions and sampling theory for small samples. Linear and Nonlinear programming problems of optimization. Course Outcomes Engineering MathematicsIV On successful completion, of course, learner/student will be able to Apply the concepts of eigenvalues and eigenvectors in engineering problems. Use the concepts of Complex Integration for evaluating integrals, computing residues & evaluate various contour integrals. Apply the concept of Z transformation and inverse in engineering problems. Use the concept of probability distribution and sampling theory to engineering problems. Apply the concept of Linear Programming Problems to optimization. Solve NonLinear Programming Problems for optimization of engineering problems.
Module Linear Algebra (Theory of Matrices) consists of the following subtopics Characteristic Equation, Eigenvalues and Eigenvectors, and properties (without proof). CayleyHamilton Theorem (without proof), verification and reduction of higher degree polynomials. Similarity of matrices, diagonalizable and nondiagonalizable matrices. Selflearning Topics: Derogatory and nonderogatory matrices, Functions of Square Matrix, Linear Transformations, Quadratic forms.
Module Complex Integration consists of the following subtopics Line Integral, Cauchy‟s Integral theorem for simple connected and multiply connected regions (without proof), Cauchy‟s Integral formula (without proof). Taylor‟s and Laurent‟s series (without proof). Definition of Singularity, Zeroes, poles off(z), Residues, Cauchy‟s Residue Theorem (without proof). Selflearning Topics: Application of Residue Theorem to evaluate real integrations.
Module Z Transform consists of the following subtopics Definition and Region of Convergence, Transform of Standard Functions: {𝑘𝑛𝑎𝑘}, {𝑎𝑘}, { +𝑛𝐶. 𝑎𝑘}, {𝑐 𝑘sin(𝛼𝑘 + 𝛽)}, {𝑐 𝑘 sinh 𝛼𝑘}, {𝑐 𝑘 cosh 𝛼𝑘}. Properties of Z Transform: Change of Scale, Shifting Property, Multiplication, and Division by k, Convolution theorem. Inverse Z transform: Partial Fraction Method, Convolution Method. Selflearning Topics: Initial value theorem, Final value theorem, Inverse of Z Transform by Binomial Expansion.
Module Probability Distribution and Sampling Theory consists of the following subtopics Probability Distribution: Poisson and Normal distribution. Sampling distribution, Test of Hypothesis, Level of Significance, Critical region, Onetailed, and twotailed test, Degree of freedom. Students‟ tdistribution (Small sample). Test the significance of mean and Difference between the means of two samples. ChiSquare Test: Test of goodness of fit and independence of attributes, Contingency table. Selflearning Topics: Test significance for Large samples, Estimate parameters of a population, Yate‟s Correction.
Module Linear Programming Problems consists of the following subtopics Types of solutions, Standard and Canonical of LPP, Basic and Feasible solutions, slack variables, surplus variables, Simplex method. Artificial variables, BigM method (Method of penalty). Duality, Dual of LPP and Dual Simplex Method Selflearning Topics: Sensitivity Analysis, TwoPhase Simplex Method, Revised Simplex Method.
Module Nonlinear Programming Problems consists of the following subtopics NLPP with one equality constraint (two or three variables) using the method of Lagrange‟s multipliers. NLPP with two equality constraints. NLPP with inequality constraint: KuhnTucker conditions. Selflearning Topics: Problems with two inequality constraints, Unconstrained optimization: Onedimensional search method (Golden Search method, Newton‟s method). Gradient Search method.
Suggested Reference books for subject Engineering MathematicsIV from Mumbai university are as follows Erwin Kreyszig, “Advanced Engineering Mathematics”, John Wiley & Sons. R. K. Jain and S. R. K. Iyengar, “Advanced Engineering Mathematics”, Narosa. Brown and Churchill, “Complex Variables and Applications”, McGrawHill Education. T. Veerarajan, “Probability, Statistics and Random Processes”, McGrawHill Education. Hamdy A Taha, “Operations Research: An Introduction”, Pearson. S.S. Rao, “Engineering Optimization: Theory and Practice”, WileyBlackwell. Hira and Gupta, “Operations Research”, S. Chand Publication.
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Course Features
 Lectures 35
 Quizzes 0
 Duration 50 hours
 Skill level All levels
 Language English
 Students 1
 Certificate No
 Assessments Yes