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Mathematics for B.Sc. Students Semester II (NEP-UP)-LPSPE

Mathematics for B.Sc. Students Semester II (NEP-UP)-LPSPE

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  • ISBN : 9789355014153
  • Pages : 768
  • Binding : Paperback
  • Language : English
  • Imprint : S. Chand Publishing
  • © year : 2022
  • Size : 6.5 X 9.25

Price : 399.00 319.20

A methodical text, which mirrors the flow of the units of the syllabus, has been created with a focus on developing mathematical skills in algebra, calculus and analysis and enables the reader to possess an in-depth knowledge of the subjects. Apart from this, topics such as rank, eigen values of matrices, linear homogeneous and non-homogeneous equations and differential equations have been well-explained.

·         Divided in Eight Units which are sub-divided in 31 chapters for a 100% coverage of the recommended syllabus.

·         Over 700 examples in the text illustrate all major topics thereby providing ample support to the theory explained.

·         More than 100 practice sets which carry close to 1500 questions provide rich practice.

·         Roadmap as per the National Education Policy 2020 (NEP 2020) has been provided in the text.

UNIT - I 

  1. Algebra of Matrices
  2. Rank of a Matrix
  3. Inverse of Matrix by Elementary Operation
  4. Consistency of System of Homogeneous and Non-homogeneous Equations 

UNIT - II 

  1. Eigen Values, Eigen Vectors and Characteristic Equation of Matrix
  2. Cayley-Hamilton Theorem and Inverse
  3. Complex Numbers 

UNIT - III 

  1. First Order Differential Equations
  2. Linear and Exact Differential Equations 

UNIT - IV

  1. First order Higher Degree Differential Equations
  2. Linear Differential Equation of Order Greater than one with Constant Coefficients
  3. Cauchy-Euler Differential Equations 

UNIT - V 

  1. General Equation of Second-Degree Conics
  2. Tracing of Conics
  3. System of Conics
  4. Confocal Conics
  5. Polar Equation and Properties of Conics 

UNIT - VI 

  1. Three - Dimensional Coordinates
  2. Direction Cosines and Projection
  3. Plane: Cartesian Form
  4. Plane: Vector Form
  5. Straight Line in Three Dimensions 

UNIT - VII 

  1. Sphere
  2. Cone
  3. Cylinder 

UNIT - VIII 

  1. The Conicoid
  2. Paraboloids
  3. Plane Sections of Conicoid
  4. Generating Lines Conicoids
  5. Reduction of Second Degree Conicoids
  6. Confocal Conicoids 

        Practice Exercises
        Index

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