Syllabus of First Semester Mathematics all branch Polytechnic/Diploma

HERE YOU WILL GET THE FOLLOWING TOPICS:       

ALGEBRA-I                                                                    

1. Arithmetical Progressions

2.Geometrical Progressions                                                                       

3.Harmonical Progressions

4.Binomial theorem

5.Determinants

6.Addition and substraction of vector

7.Resolution of vectors

8.Scalar product of two vectors

9.Vector or cross product of two vectors

10.Scalar and vector triple product

11.Applications of vector




12.Introduction

13.Trigonometric Formulas & Identities

14.Application of Trigonometry (Height & Distance)



CO-ORDINATE GEOMETRY

15. Revision

16.Parabola

17.Ellipse

18.Hyperbola

19.The point in space

20.Straight line

21.Plane

22.Sphere



DIFFERENTIAL CALCULUS-I

23.Functions

24.Limit

25.Continuity and differentiability

26.Differentiation

27.Successive differentiation 

28.Simple application of differentiation

29.Tangent and normal

30.Maxima and Minima



INTEGRAL CALCULUS-I

31.Integration

32.Integration by substitution

33.Integration by parts

34.Integration by partial fractions

35.Some important integrals

36.Integration of irrational functions

37.Definite integration

38.Lengths of aris of the curves

39.Area by integration

40.Volumes and surface of solids

41.numerical integration