Mathematics Hand Notes For B. Sc (honors)

Mathematics Hand notes for B. Sc (honors) Math Students.

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



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Geometry and Vector hand notes

  • Geometry 2D:
  • Pair of Straight lines3D

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

  •  Vector:

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

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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
 
  •  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

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

hand notes
 



(N.B): All Notes For B. Sc (honors) in Mathematics.
  1. Algebra Hand Notes: Click Here 
  2. Trigonometry Hand NotesClick 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,

2D geometry
Then,
2D geometry
Now, the equation of bisectors of the angle between the lines,
2D geometry




 This is the required equation. (Ans.)



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Mathematics Hand notes
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