### B.sc 1st Year Maths Syllabus 2022-2023 Session

This post is providing a b.sc first year syllabus maths. It is an effort to cover all the chapters in BSc first year mathematics syllabus.

This syllabus is being given to those students who want to know what are the subjects in BSc first year mathematics syllabus and what is its format.

All universities have different bsc 1st year maths syllabus. So it is important that you prepare for the exam keeping in mind the syllabus of your university.

This syllabus should be seen as a common syllabus. Don't depend completely on it.

BSc first year syllabus maths can be a bit tough to see. When you try to solve its questions keeping in mind the formula, you will be able to solve them easily.

It is important to understand the questions and also understand which questions of bsc 1st year syllabus maths have been asked in the previous exam.

Just as bsc 1st year mathematics syllabus can change, in the same way, it is possible to change the pattern of questions. So give priority to the syllabus of your university.

Let us see the b.sc 1st year maths syllabus for the session 2022-2023.

## Bsc 1st Year Mathematics Syllabus

### Bsc 1st Year Maths Syllabus 2022-2023

#### B.sc 1st Year Maths Syllabus 1st Paper

**Group-A: Set Theory And Trigonometry**

- Set, Subsets, Power Set, Algebra of Sets, De Morgan’s Laws, Cartesian Product of sets, relation, equivalence relation, Definition and examples of partial and total order relation, Countable and uncountable sets, Countability of rational, Real, And algebraic number system, Countability of unions.
- Hyperbolic function, Resolution into factors.

**Group-B: Matrices **

- Sum old product of matrices, symmetric and skew-symmetric, matrices, Transpose, Adjoint and inverse of a matrix, Solutions of a system of linear equations with three unknown.

**Group-C: Linear Programming**

- Convex sets & their properties, Linear programming problems and their graphical solution, Theory of simplex method and their simple applications.

**Group-D: Theory of Equations **

- Fundamental theorem of Algebra, Relation Between roots and coefficients of a polynomial equation, Evaluation of symmetric functions of roots of cubic and biquadratic equations, Solutions of cubic equation, Descartes rule of signs.

#### B.sc 1st Year Maths Syllabus 2nd Paper

**Group-A: Differential Calculus**

- Successive differentiation, Leibnitz theorem, Tangents and Normal, Curvature Asymptotes Partial Differentiation, Euler’s theorem, Exact Differential indeterminate from L. Hospital rule.

**Group-B: Integral Calculus **

- Integration of rational and irrational, Function Notion of integral as a limit of a sum, Evaluation of definite integrals, Reduction formulae, Curve tracing, Areas of curves, Length of curves, Volumes and surface areas of solids of revolution.

**Group-C: Analytical Geometry Of 2 Dimensions **

- Condition for the general equation of second degree to represent parabola, ellipse, and hyperbola and reduction into standard forms, Equations of Tangents and normal of the general equation and their forms in their particular conic section, Equation of polar, the chord of contact, pair of tangents in case of the parabola, ellipse, Hyperbola and their special properties, Polar equation of conic section-Tangents and normals.

**Group-D: Analytical Geometry Of 3 Dimension **

- Rectangular, Spherical, Polar, and cylindrical coordinates, Angle between straight lines, Equation of planes and straight lines, Shortest distance between lines, sphere, Cones Cylinder, Equations of conic side, Normal and Conjugate diameters of the ellipsoid.

**Paper-2 (Differential Calculus)**

- Definition of Limit of a Function, Continuous Function and Classification of Imbalance, Variation, Series Rule of Variation, Rolle's Theorem, First and Second Mean Value Theorem, Taylor's Theorem with Lagrange and Cauchy's Remainder Forms, Gradual Differentiation, and Leibnitz's Theorem
- Extension of functions (in Taylor and McLaurin's series), Indefinite Forms, Partial Differentiation, Euler's Theorem, Jacobian
- Maxima and Minima, Tangent and Standard (Polar), Curvature, Envelope, and Evolutes
- Tracing of curves in Cartesian and polar coordinates
- Quadrilaterals, Refinement, Volume, and Surface of Solids of Revolution, Pappus Theorem, Double and Triple Integrals, Variation in Order of Integration, Dirichlet's and Liouville's Integral Formulas.

It is also essential for students to have knowledge of BSc 1st year math book. Sometimes buying the wrong book is a waste of money and time.

Here are some BSc 1st year math book names. This will help you to understand your mathematics book.

You can also study b.sc 1st year mathematics book recommended by your university.

With the help of the internet also you can find bsc 1st year mathematics books in pdf form. But it will be difficult to say how beneficial they will be to you.

## BSc First Year Maths Book

### BSc 1st Year Math Book Name

- Matrix and Linear Algebra - KB Dutta
- Vector Calculus - Shanti Narayan
- Coordinate Geometry - S.L.Loney
- Analytical Geometry - PK Jain and Khaleel Ahmed
- History of Mathematics - Gerard G. Imch, R.Sreedharan, and M.D.Srinivas
- Algebra and Theory of Accuracy - Chandrika Prasad
- Basic Algebra - N.jokobson
- Vector Analysis - N.Sharan and SN Nigam
- Coordinate Geometry - Gorakh Prasad and H.C.Gupta

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