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



Read More

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

Read More

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
Read More

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
Read More

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
Read More

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 
Read More

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.)



Read More
Powered by Blogger.

© Mathematics Hand Notes For B. Sc (honors), AllRightsReserved.

Designed by AllForBlogspot