Engineering Mathematics (All In One)

Study Tips for Maths Exam 1

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 3 in a easy way

Branches Covered ( Comps , Mechanical , Civil , EXTC , Electrical , Electronics , IT )
Handmade Notes : Notes are Brilliant , Easy Language , East to understand ( Student Feedback )
Exam ke Pehle Notes ek baar Dekhlo revision aise hi jata hai

• Lecture1.1
  How to Attempt MCQ’s 09 min

Complex Number [M1] 6

• Lecture2.1
  Introduction to Complex Numbers 10 min
• Lecture2.2
  De Moivre’s Theorem 17 min
• Lecture2.3
  Expansions of sin nθ and cos nθ 13 min
• Lecture2.4
  Expansions of Sinⁿ θ and Cosⁿ θ 10 min
• Lecture2.5
  Roots of Complex Numbers 09 min
• Lecture2.6
  Log of Complex Numbers 10 min

Numerical solutions [M1] 6

• Lecture3.1
  Introduction To Numerical Solutions And Regula Falsi Method 12 min
• Lecture3.2
  Newton-raphson Method 12 min
• Lecture3.3
  Gauss-jacobi’s Iterative Method 06 min
• Lecture3.4
  Gauss-seidel Iterative Method 06 min
• Lecture3.5
  Taylor Series 09 min
• Lecture3.6
  Maclaurin Series 09 min

Hyperbolic Function [M1] 4

• Lecture4.1
  Hyperbolic Functions Part 1 08 min
• Lecture4.2
  Hyperbolic Functions Part 2 14 min
• Lecture4.3
  Hyperbolic Functions separation Of Real And Imaginary Parts 15 min
• Lecture4.4
  Inverse Hyperbolic Functions 16 min

Partial Differentiation [M1] 9

• Lecture5.1
  Introduction of Partial Differentiation 10 min
• Lecture5.2
  Example of Function of Function 12 min
• Lecture5.3
  Variable Treated As Constant 10 min
• Lecture5.4
  Composite Function 12 min
• Lecture5.5
  Composite Function Example 24 min
• Lecture5.6
  Implicit Function 07 min
• Lecture5.7
  Homogeneous Function (Eulers Theorem) 16 min
• Lecture5.8
  Reducible To Homogeneous Function (Euler’s Modified Theorem) 16 min
• Lecture5.9
  Maxima and Minima 16 min

Successive differentiation [M1] 3

• Lecture6.1
  Introduction to Successive Differentiation [Type1] 16 min
• Lecture6.2
  Successive Differentiation [Type 2] 14 min
• Lecture6.3
  Leibnitz Theorem 15 min

Matrices [M1] 4

• Lecture7.1
  Basics of Matrix 10 min
• Lecture7.2
  Rank of Matrix by Normal Form 13 min
• Lecture7.3
  PAQ 14 min
• Lecture7.4
  Linear Dependence and Independence 13 min

Differential Equations of the First Order and First Degree [M2] 9

• Lecture8.1
  Introduction to Differential Equation 10 min
• Lecture8.2
  Equation Reducible to Exact Differential Equation 15 min
• Lecture8.3
  Equation Reducible to Exact Differential Equation Example 1 08 min
• Lecture8.4
  Equation Reducible to Exact Differential Equation Example 2 14 min
• Lecture8.5
  Equation Reducible to Exact Differential Equation Example 3 11 min
• Lecture8.6
  Linear Differential Equation 10 min
• Lecture8.7
  Reducible to Linear Form in Differential Equation 15 min
• Lecture8.8
  Bernoulli’s Equation 15 min
• Lecture8.9
  [Notes] Differential Equation

Linear Differential Equation with Constant Coefficient and Variable Coefficients of Higher Order [M2] 4

• Lecture9.1
  Linear Differential Equation with Constant Coefficient 11 min
• Lecture9.2
  Particular Integral in Differential Equation 14 min
• Lecture9.3
  Method of Variation of Parameters in Differential Equation 15 min
• Lecture9.4
  [Notes] Linear Differential equation

Numerical Solution Of Ordinary Differential Equation[M2] 5

• Lecture10.1
  Taylor Series Method 11 min
• Lecture10.2
  Euler Method 09 min
• Lecture10.3
  Euler’s Modified Method 10 min
• Lecture10.4
  Runge Kutta Method 10 min
• Lecture10.5
  [Notes] Numerical Solution

Beta Gamma Functions[M2] 8

• Lecture11.1
  Beta Function and its Properties Type 1 09 min
• Lecture11.2
  Beta Function Type 2 & 3 07 min
• Lecture11.3
  Beta Function Type 5 & 6 07 min
• Lecture11.4
  Miscellaneous Beta in Beta Function 07 min
• Lecture11.5
  Gamma Function Basics & Properties 08 min
• Lecture11.6
  Gamma Function Type 2 09 min
• Lecture11.7
  Gamma Function Type 3 08 min
• Lecture11.8
  Gamma Function Type 4 & Miscellaneous 07 min

Differentiation Under Integral Sign,Numerical Integration and Rectification [M2] 4

• Lecture12.1
  Trapezoidal Rule 06 min
• Lecture12.2
   Simpson’s 1/3 Rule 09 min
• Lecture12.3
  Simpson’s 3/8 Rule 07 min
• Lecture12.4
  [Notes] Differential under integral sign

Double Integration[M2] 4

• Lecture13.1
  Double Integration Part 1 17 min
• Lecture13.2
  Double Integration Part 2 14 min
• Lecture13.3
  Double Integration Part 3 16 min
• Lecture13.4
  [Notes] Double Integration

Laplace Transform [M3] 11

• Lecture14.1
  Introduction to Laplace transform Copy 29 min
• Lecture14.2
  Formula Method in Laplace transform Copy 18 min
• Lecture14.3
  Linearity Property in Laplace transform Copy 19 min
• Lecture14.4
  Laplace-transform-part-4 Copy 27 min
• Lecture14.5
  First shift theorem in Laplace transform Copy 19 min
• Lecture14.6
  Second shift theorem in Laplace transform Copy 09 min
• Lecture14.7
  Multiplication by t^n in Laplace transform Copy 25 min
• Lecture14.8
  Division by t in Laplace transform Copy 24 min
• Lecture14.9
  Laplace transform of Derivative Copy 20 min
• Lecture14.10
  Laplace transform of Integration Copy 18 min
• Lecture14.11
  [Notes] Laplace Transform

Inverse Laplace Transform [M3] 14

• Lecture15.1
  Introduction to Inverse Laplace Transform Copy 15 min
• Lecture15.2
  Inverse Laplace Transform part 2 Copy 15 min
• Lecture15.3
  Inverse Laplace Transform part 3 Copy 17 min
• Lecture15.4
  Partial fractions Copy 12 min
• Lecture15.5
  Convolution theorem Copy 24 min
• Lecture15.6
  Use of Differentiation in inverse Laplace Copy 10 min
• Lecture15.7
  Integration ( Divisible by s ) Copy 09 min
• Lecture15.8
  Heaviside Laplace Copy 22 min
• Lecture15.9
  Inverse Heaviside Laplace Copy 09 min
• Lecture15.10
  Dirac Delta Copy 11 min
• Lecture15.11
  Application of Laplace Transform Copy 20 min
• Lecture15.12
  Periodic function Copy 13 min
• Lecture15.13
  Convolution theorem Copy 24 min
• Lecture15.14
  [Notes] Inverse Laplace Transform

Complex Variable [M3] 8

• Lecture16.1
  Complex Variable full Concept Copy 33 min
• Lecture16.2
  Basics of Complex Variable and Cauchy Riemann equations in Cartesian Copy 14 min
• Lecture16.3
  Cauchy Riemann Equations in Polar Form Copy 05 min
• Lecture16.4
  Milnethomson Method 1 Copy 12 min
• Lecture16.5
  Milnethomson Method 2 Copy 10 min
• Lecture16.6
  Harmonic Functions Copy 10 min
• Lecture16.7
  Orthogonal Curves and Orthogonal Trajectories Copy 10 min
• Lecture16.8
  [Notes] Complex Variable

Conformal Mapping [M3] 8

• Lecture17.1
  Conformal Mapping introduction Copy 05 min
• Lecture17.2
  Transformation Mapping in Conformal Copy 08 min
• Lecture17.3
  Inversion and Reflection Copy 18 min
• Lecture17.4
  Cross ratio Copy 10 min
• Lecture17.5
  Fixed Point part 1 Copy 07 min
• Lecture17.6
  Fixed Point part 2 Copy 07 min
• Lecture17.7
  Mapping Solved Example Copy 19 min
• Lecture17.8
  Rotation and Magnification Copy 15 min

Correlation (Comps , Mechanical and Civil )[M3] 3

• Lecture18.1
  Introduction to correlation Copy 08 min
• Lecture18.2
  Karl Pearson coefficient correlation Copy 06 min
• Lecture18.3
  Spearman Rank Copy 13 min

Regression (Comps , Mechanical and Civil )[M3] 3

• Lecture19.1
  Introduction to Regression Copy 05 min
• Lecture19.2
  Regression part 2 Copy 13 min
• Lecture19.3
  Regression part 3 Copy 15 min

Curve Fitting (Comps , Mechanical and Civil )[M3] 4

• Lecture20.1
  Curve Fitting part 1 Copy 05 min
• Lecture20.2
  Curve Fitting part 2 Copy 09 min
• Lecture20.3
  Curve Fitting part 3 Copy 14 min
• Lecture20.4
  Curve Fitting part 4 Copy 08 min

Correlation,Regression and Curve Fitting Notes 1

• Lecture21.1
  [Notes] Correlation,Regression and Curve Fitting

Basic important concept and Formula ( Must watch before Fourier series ) [M3] 3

• Lecture22.1
  Trigonometry Basic Formula part 1 Copy 06 min
• Lecture22.2
  Trigonometry Basic Formula part 2 Copy 09 min
• Lecture22.3
  Integration By Parts Copy 12 min

Fourier Series [M3] 9

• Lecture23.1
  Introduction to Fourier series Copy 23 min
• Lecture23.2
  Fourier Series solved example Copy 31 min
• Lecture23.3
  Even and Odd theory concept in Fourier Series Copy 13 min
• Lecture23.4
  Even Solved Example Copy 24 min
• Lecture23.5
  Odd solved Example Copy 13 min
• Lecture23.6
  Half range cosine and sine Theory Concept Copy 03 min
• Lecture23.7
  Half range cosine solved example Copy 17 min
• Lecture23.8
  Half range sine Solved example Copy 12 min
• Lecture23.9
  [Notes] Fourier Series

Complex Form of Fourier Series (Mechanical and Civil )[M3] 2

• Lecture24.1
  Complex form of Fourier Series Copy 28 min
• Lecture24.2
  Orthogonal and Orthogonality Copy 16 min

Z transform (Comps )[M3] 7

• Lecture25.1
  Introduction to Z transform Copy 16 min
• Lecture25.2
  Z Transforms Change Of Scale Copy 05 min
• Lecture25.3
  Z Transforms linearity Copy 09 min
• Lecture25.4
  Z Transforms multiplication by k Copy 10 min
• Lecture25.5
  Z Transforms Of Standard Functions Copy 08 min
• Lecture25.6
  Z Transforms Shifting Property Copy 05 min
• Lecture25.7
  [Notes] Z transform

Inverse Z transform (Comps )[M3] 2

• Lecture26.1
  Inverse Z transform using binomial expansion Copy 13 min
• Lecture26.2
  Inverse Z transform using partial fractions Copy 20 min

Probability Distribution (Comp)[M3] 14

• Lecture27.1
  Introduction to Probability Distribution Copy 07 min
• Lecture27.2
  Discrete Random Variable in Probability Distribution Copy 15 min
• Lecture27.3
  Distribution function of Discrete Random Variable Copy 10 min
• Lecture27.4
  Continuous Random Variable in Probability Distribution Copy 09 min
• Lecture27.5
  Continuous Distribution Function in Probability Distribution Copy 14 min
• Lecture27.6
  Expectation in Probability Distribution Copy 12 min
• Lecture27.7
  Mean and Variance Part 1 in Probability Distribution Copy 11 min
• Lecture27.8
  Mean and Variance Part 2 in Probability Distribution Copy 13 min
• Lecture27.9
  Moments and Moments Generating Function Part #1 in Probability Distribution Copy 13 min
• Lecture27.10
  Moments and Moments Generating Function Part #2 in Probability Distribution Copy 11 min
• Lecture27.11
  Binomial Probability Distribution 18 min
• Lecture27.12
  Poisson Distribution with Solved Example 11 min
• Lecture27.13
  Normal Distribution Full Basic Concept 12 min
• Lecture27.14
  Normal distribution with Solved Example 20 min

Partial Differentiation (Mechanical and Civil ) [M3] 4

• Lecture28.1
  Bender-Schmidit method Copy 12 min
• Lecture28.2
  Crank-Nicholson Simplified method Copy 18 min
• Lecture28.3
  Laplace equation Copy 13 min
• Lecture28.4
  [Notes] Partial Differentiation

Complex Integration (Mechanical and Civil ) [M3] 9

• Lecture29.1
  Complex integration along a Circle with Solved Example Copy 12 min
• Lecture29.2
  Complex integration along a Line or Parabola with Solved Example Copy 17 min
• Lecture29.3
  Taylor and Laurent series Full Basic with Solved Example part 1 Copy 15 min
• Lecture29.4
  Taylor and Laurent series Full Basic with Solved Example part 2 Copy 17 min
• Lecture29.5
  Cauchy’s Theorem Basics & Cauchy’s integral formula Type 1 Copy 13 min
• Lecture29.6
  Cauchy’s Theorem Type 2 and Type 3 Copy 10 min
• Lecture29.7
  Cauchy’s Theorem Type 4 and Type 5 Copy 12 min
• Lecture29.8
  Cauchy’s residue theorem Copy 20 min
• Lecture29.9
  [Notes] Complex Integration

Set Theory ( Information Technology )[M3] 8

• Lecture30.1
  Set Theory Part #1 Copy 10 min
• Lecture30.2
  Set Theory Part #2 Copy 09 min
• Lecture30.3
  Set Theory Part #3 Copy 08 min
• Lecture30.4
  Set Theory Part #4 Copy 11 min
• Lecture30.5
  Set Theory Part #5 Copy 11 min
• Lecture30.6
  Posets and Hasse Diagram Copy 12 min
• Lecture30.7
  Pigeon Hole and Extended Pigeon Hole Copy 08 min
• Lecture30.8
  Partition of sample space Copy 08 min

Permutation and Combination ( Information Technology ) [M3] 5

• Lecture31.1
  Permutation and Combination Basics #1 Copy 18 min
• Lecture31.2
  Permutation and Combination Basics #2 Copy 07 min
• Lecture31.3
  Permutation Numerical Part 1 Copy 14 min
• Lecture31.4
  Permutation Numerical Part 2 Copy 10 min
• Lecture31.5
  Combination Numerical Copy 14 min

Probability ( Information Technology ) [M3] 7

• Lecture32.1
  Probability 1 Copy 20 min
• Lecture32.2
  Probability 2 Copy 10 min
• Lecture32.3
  Conditions Probability Copy 12 min
• Lecture32.4
  Repeated Trials Copy 14 min
• Lecture32.5
  Baye’s theorem Copy 09 min
• Lecture32.6
  Partition of sample space Copy 08 min
• Lecture32.7
  [Notes] Probability

Vector Differentiation ( EXTC, Electrical , Electronics ) [M3] 3

• Lecture33.1
  Vector differentiation basics and gradient Copy 15 min
• Lecture33.2
  Divergence and curl Copy 10 min
• Lecture33.3
  Scalar Potential Copy 14 min

Vector Integration (EXTC, Electrical , Electronics ) [M3] 3

• Lecture34.1
  Green theorem Copy 15 min
• Lecture34.2
  Gauss divergence theorem Copy 07 min
• Lecture34.3
  stoke’s theorem Copy 17 min

Bessel's function ( EXTC, Electrical , Electronics ) [M3] 2

• Lecture35.1
  Bessel’s function Copy 10 min
• Lecture35.2
  Bessel’s function numerical Copy 10 min

Vector Differentiation and Integration and Bessel’s Function Notes 1

• Lecture36.1
  [Notes] Vector Differentiation and Integration and Bessel’s Function

Linear Algebra / Matrices [M4] 12

• Lecture37.1
  Introduction to Matrices 07 min
• Lecture37.2
  Eigen value and Eigen vector in Matrices 17 min
• Lecture37.3
  Eigen value and Eigen vectors for Types of Matrices 06 min
• Lecture37.4
  Cayley Hamilton Theorem with Example Part 1 09 min
• Lecture37.5
  Cayley Hamilton Theorem with Example Part 2 05 min
• Lecture37.6
  Cayley Hamilton Theorem with Example Part 3 04 min
• Lecture37.7
  Monic and Minimal Polynomial of a Matrix 05 min
• Lecture37.8
  Algebraic multiplicity And Geometric multiplicity 10 min
• Lecture37.9
  Functions of a Square Matrix in Matrices 07 min
• Lecture37.10
  Reduction of Quadratic form to Canonical form 13 min
• Lecture37.11
  Orthogonal Matrix with Solved Example 09 min
• Lecture37.12
  [Notes] Matrices

Sampling Theory [M4] 12

• Lecture38.1
  What Is Sampling 08 min
• Lecture38.2
  Large Sampling Problems 16 min
• Lecture38.3
  Large Sampling Test Theory+Numerical 16 min
• Lecture38.4
  Hypothesis Testing Full concept 02 min
• Lecture38.5
  Testing Difference Between Means(case_1) With Examples 11 min
• Lecture38.6
  Small Sample Test Example 13 min
• Lecture38.7
  Small Sample Test 04 min
• Lecture38.8
  Testing Difference Between Means(case_1) With Examples Part 2 05 min
• Lecture38.9
  Testing Difference Between Means(case_2) 12 min
• Lecture38.10
  Non Parametric Test Type_1_Numerical 08 min
• Lecture38.11
  Non Parametric Test 04 min
• Lecture38.12
  [Notes] Sampling Theory

Mathematical Programming / Linear Programming [M4] 9

• Lecture39.1
  Basics of simplex method in LPP 11 min
• Lecture39.2
  Standard form of LPP Simplex Method 12 min
• Lecture39.3
  Types of Solutions in Simplex Method in LPP 14 min
• Lecture39.4
  How to Solve LPP using Simplex method 18 min
• Lecture39.5
  LPP Using Big M method ( Penalty Method ) 25 min
• Lecture39.6
  Duality of LPP ( Primal and Dual ) 17 min
• Lecture39.7
  Relationship between Primal and Dual 17 min
• Lecture39.8
  Dual Simplex Method in LPP 17 min
• Lecture39.9
  [Notes] Linear Programming

Vector Calculus[M4] 6

• Lecture40.1
  Divergence and curl 10 min
• Lecture40.2
  Scalar Potential 14 min
• Lecture40.3
  Vector differentiation basics and gradient 15 min
• Lecture40.4
  Green theorem 15 min
• Lecture40.5
  Gauss divergence theorem 07 min
• Lecture40.6
  Stokes Theorem 17 min

Notes [M4] 10

• Lecture41.1
  Complex Integration Notes
• Lecture41.2
  Matrices Notes
• Lecture41.3
  Probability Notes
• Lecture41.4
  Sampling Theory Notes
• Lecture41.5
  Linear Programming Problems Notes
• Lecture41.6
  Calculus of Variation (EXTC, Electrical , Electronics Notes)
• Lecture41.7
  Linear Algebra Vector Space (EXTC, Electrical , Electronics Notes )
• Lecture41.8
  Correlation,Regression and Curve Fitting (EXTC, Electrical , Electronics Notes )
• Lecture41.9
  Graph and Group theory (IT)
• Lecture41.10
  Lattice theory (IT)

Calculus of Variation [M4] 13

• Lecture42.1
  Euler’s Differential Equation 11 min
• Lecture42.2
  Functions of Second Order Derivative 09 min
• Lecture42.3
  Gram Schmidt Process With Numerical 19 min
• Lecture42.4
  Hypothesis Concerning Several Proportions 07 min
• Lecture42.5
  Linear Combinations Of Vector 05 min
• Lecture42.6
  Non Parametric Test Type_2_Numerical 05 min
• Lecture42.7
  Pythagorean Theorem 04 min
• Lecture42.8
  Subspaces 10 min
• Lecture42.9
  Cauchy Schwarz Inequality in R^ 05 min
• Lecture42.10
  Lagranges Method 09 min
• Lecture42.11
  Rayleigh Ritz Method 12 min
• Lecture42.12
  Euler’s Differential Equation 11 min
• Lecture42.13
  [Notes] Calculus of Variation

Hand Made Notes for Computer Engineering [M3] 7

• Lecture44.1
  Fourier Series Notes Copy
• Lecture44.2
  Laplace Transform Notes Copy
• Lecture44.3
  Inverse Laplace Transform Notes Copy
• Lecture44.4
  Complex Variable Notes Copy
• Lecture44.5
  Z transform Notes Copy
• Lecture44.6
  Correlation,Regression and Curve Fitting Notes Copy
• Lecture44.7
  Probablity Copy

Hand Made Notes for EXTC/Electronics/Electrical [M3] 5

• Lecture45.1
  Laplace Transform Notes Copy
• Lecture45.2
  Inverse Laplace Transform Notes Copy
• Lecture45.3
  Fourier Series Notes Copy
• Lecture45.4
  Vector Differentiation and Integration and Bessel’s Function Copy
• Lecture45.5
  Complex Variable Notes Copy

Hand Made Notes for Information Technology [M3] 3

• Lecture46.1
  Laplace Transform Notes Copy
• Lecture46.2
  Inverse Laplace Transform Notes Copy
• Lecture46.3
  Complex Variable Notes Copy

Hand Made Notes for Mech/Civil/Production/Automobile[M3] 7

• Lecture47.1
  Laplace Transform Notes Copy
• Lecture47.2
  Inverse Laplace Transform Notes Copy
• Lecture47.3
  Partial Differentiation Copy
• Lecture47.4
  Complex Integration Copy
• Lecture47.5
  Complex Variable Notes Copy
• Lecture47.6
  Fourier Series Notes Copy
• Lecture47.7
  Correlation,Regression and Curve Fitting Notes Copy

Maths 3 Answer Key [M3] 2

• Lecture48.1
  Cauchy’s residue theorem Copy 20 min
• Lecture48.2
  Answer Key / Solution Key Copy

Engineering Maths MCQ's [M3] 13

• Lecture49.1
  Laplace Transform (All Branches ) Copy
• Lecture49.2
  Complex Variable and Conformal Mapping (All Branches ) Copy
• Lecture49.3
  Fourier Series (Comps.Mech/Civil,EXTC/Electrical/Electronic) Copy
• Lecture49.4
  Correlation and Regressions (Comps , Mech/Civil/Automobile/Production) Copy
• Lecture49.5
  Curve Fitting (Comps , Mech/Civil/Automobile/Production) Copy
• Lecture49.6
  Complex Integration (Mech/Civil/Automobile/Production) Copy
• Lecture49.7
  Laurent Series (Mech/Civil/Automobile/Production) Copy
• Lecture49.8
  Fourier Transform (EXTC/Electrical/Electronic) Copy
• Lecture49.9
  Vector Differentiation (EXTC/Electrical/Electronic) Copy
• Lecture49.10
  Vector Integration (EXTC/Electrical/Electronic) Copy
• Lecture49.11
  Set Theory ( IT ) Copy
• Lecture49.12
  Functions ( IT ) Copy
• Lecture49.13
  Permutation and Combination ( IT ) Copy

Solution Keys[M4] 5

• Lecture50.1
  Solution Key module 1
• Lecture50.2
  Practice problems solution key matrices
• Lecture50.3
  Practice problem solution key for Probability
• Lecture50.4
  Solution key for Sampling Theory
• Lecture50.5
  Linear Programming solution key

Z transform[M4] 8

• Lecture51.1
  Introduction to Z transform
• Lecture51.2
  Z Transforms Change Of Scale
• Lecture51.3
  Z Transforms Linearity
• Lecture51.4
  Z Transforms multiplication by k
• Lecture51.5
  Z Transforms Of Standard Functions
• Lecture51.6
  Z Transforms Shifting Property
• Lecture51.7
  Inverse Z transform using binomial expansion
• Lecture51.8
  Inverse Z transform using partial fractions