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Mathematics – I

1 STUDENTS ENROLLED

Aim : To understand the basic concepts of mathematics.

 

Objectives

  • To get the knowledge about the matrices, determinants and limits.
  •  To study the basics of differential and integral calculus.

Course Curriculum

DETERMINANTS 12:00:00
Definition, Minors, Cofactors, Properties of Determinants, MATRICES: Definition, Types of Matrices, Addition, Subtraction, Scalar Multiplication and Multiplication of Matrices, Adjoint, Inverse, Cramers Rule, Rank of Matrix Dependence of Vectors, Eigen - Vectors of a Matrix, Caley-Hamilton Theorem (without proof)
LIMITS & CONTINUITY 10:00:00
Limit at a Point, Properties of Limit, Computation of Limits of Various Types of Functions, Continuity at a Point, Continuity Over an Interval, Intermediate Value Theorem, Type of Discontinuities.
DIFFERENTIATION 12:00:00
Derivative, Derivatives of Sum, Differences, Product & quotients, Chain Rule, Derivatives of Composite Functions, Logarithmic Differentiation, Rolle’s Theorem, Mean Value Theorem, Expansion of Functions (Maclaurin’s & Taylor’s), Indeterminate Forms, L’ Hospitals Rule, Maxima & Minima, Asymptote, Successive Differentiation & Liebnitz Theorem.
INTEGRATION 10:00:00
Integral as Limit of Sum, Riemann Sum, Fundamental Theorem of Calculus, Indefinite Integrals, Methods of Integration Substitution, By Parts, Partial Fractions, Integration of Algebraic and transcedental Functions, Reduction Formulae for Trigonometric Functions, Gamma and Beta Functions.
TAKE THIS COURSE
  • 44 Hours
  • Number of Units4

About SGTBIMIT

SGTBIM&IT, a SIKH Institution, was founded by the DSGMC, with the primary objective of providing University Education in a nice atmosphere for deserving students irrespective of caste and creed. It started functioning in 2009 with just 120 students on the rolls in two undergraduate courses of BCA & BBA. SGTBIM&IT, though affiliated to GGSIPU.

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