Theory Of Matrices hand notes

• Theory Of Matrices:

• Different kinds of Matrices
• Adjoin, Inverse and rank of matrix
• Elementary Transformation
• Echelon , Canonical and Normal Forms
• System of Normal Form
• Vector Space
• linear Dependence and Independence
• Bilinear And Hermitian Forms
• Quadratic Forms
• Eigen values and Eigen Vectors

• Download Link: Matrices all Chapter

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Geometry and Vector hand notes

• Geometry 2D:
• Pair of Straight lines3D

• Geometry 3D:
• Direction cosine
• plane
• Shortest distance
• sphere

• Download link: Pair of Straight Lines, 3D-1, 3D-2

•  Vector:

• vector & scalar
• Dot and Cross product
•  DIVERGANCE GRADIENT CURL

• Download Link: Vector

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Calculus hand notes

• Calculus - 1: Differentiation:
•  1 function
• 2 Limit
• 3 CONTINUITY
• 4 Differentiation calculus iv(A)
• 5 Differentiation iv (B)
• 6 SUCCESSIVE EXAM 5(A)
• 7 Successive differentiation 5(B)
•  8 Expansion 0f function
• 9 Maximum and minimum
  
• 10 Indeterminate Form
•  11 Partial differention equation
•  12 tangent normal (a)
•  13 Tangent and normal (b)
•  ASYMPTOTES

• Download link:part 1part 2   Part 3, Part 4

 

•  Calculus - 1 Integration : 
•  Integral calculus I
•  Integral calculus 2(A)
•  Integral calculus 2(B)
• CALCULUS III
•  Integral calculus IV
•  Integral calculus V
•  INTEGRAL CALCULUS 6(A)
• INTEGRAL CALCULUS 6(B) 
•  REDUCTION FORMULA
•  Area length volume
• Download link:  , Part 1part 2

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Differential equation hand notes

• Differential equation part 1:
• 1-General solution
• 2-seperable equation
• 3-homogenious equation
• 4-Non homogeneous
• 5-exact differential equation
• 6-integrating factor
• 7-Liner and bernoulie
• 8-Trajectories
• Download Link: Part 1

• Differential equation part 2:
•  9-Singular no and Frobenizus
•  10-Higher order
•  11-Undeterminent coefficient
•  12-Variation of parameter

• Download link: Part 2

• Differential equation part 3:
• 13-Operator method
• 14-The Cauchy Euler method
• 15-Power series

• Download Link: Part 3

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Algebra and Trigonometry hand notes

• Algebra Part -1:

• Theory of Equations Chapter (A, B, C, D, E)
• Determinant chapter 
•   Download Link: Algebra Part - 1

• Algebra Part - 2:
•  Algebra Summation of series chapter (A, B)
• Difference equation chapter
• Inequality chapter (A, B)
• Download link: Algebra Part - 2

• Trigonometry Part 1 and Part 2:
• 1 De-moivr's theorem
• 2 IMPORTANT DEDUCTION
• 3 Complex argument
•  4 GRAGORY'S SERIES
• 5 Summation of series
• 6 HYPERBOLIC FUNCTION
• Download Link: Part - 1 and Part 2

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Math Hand Notes

 



(N.B): All Notes For B. Sc (honors) in Mathematics.

1. Algebra Hand Notes: Click Here 
2. Trigonometry Hand Notes: Click Here 
3. Calculus Hand Notes: Click Here  
4. Differential equation Hand Notes: Click here
5. Geometry Hand notes: Click here
6. Vector hand notes: Click here 
7. Matrices hand notes : Click here 

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Problem-2: Find the equation of the bisectors of the angle between the pair of lines represented by (ax^2+2hxy+by^2) =0.

Solution: let, (ax^2+2hxy+by^2) represents two straight lines,

Then,

Now, the equation of bisectors of the angle between the lines,

 This is the required equation. (Ans.)

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