 # Mathematics for B.Sc. Students: Semester II (Matrices | Differential Equations | Geometry) NEP 2020 Uttar Pradesh

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

Price : 495.00 396.00

Quantity : - +

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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