# Write about some simple Engineering Mathematics topics

Hello there,

We're here to hire someone who can explain some of the basics of engineering mathematics (BCA Mathematics-I).

Anyone who is interested, needs to cover the following topics:

Unit-I Syllabus - Determinants:-

Definition

Minors

Cofactors

Properties of Determinants

Matrices

Definition

Types of Matrices

Matrix Subtraction

Matrix Multiplication

Scalar Multiplication

Inverse

Cramer's Rule

Rank of Matrix Dependence of Vectors

Eigen Vectors of a Matrix

Calley-Hamilton Theorem (without proof)

Unit-II Syllabus - Limits and Continuity:-

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

Unit-III Syllabus - Differentiation:-

Derivative

Derivatives of Sum

Differences

Product and Quotients

Chain Rule

Derivatives of Composite

Functions

Logarithmic Differentiation

Rolle's Theorem

Mean Value Theorem

Expansion of Functions (Maclaurin's and Taylor's)

Indeterminate Forms

L' Hospitals Rule

Maxima and Minima

Curve Tracing

Successive Differentiation and Liebnitz Theorem

Unit-IV Syllabus - Integration:-

Integral as Limit of Sum

Fundamental Theorem of Calculus (without proof)

Indefinite Integrals

Methods of Integration

Substitution

By Parts

Partial Fractions

Reduction Formulae for Trigonometric Functions

Definition of Gamma and Beta Functions

Unit-V Syllabus - Vector Algebra:-

Definition of a vector in 2 and 3 Dimensions

Double and Triple Scalar and Vector Product and physical interpretation of area and volume

Compétences : Mathématiques, Rédaction de contenu

Concernant le client :
( 0 commentaires ) Varanasi, India

Nº du projet : #34012525

## 26 freelances font une offre moyenne de 120 \$ pour ce travail

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fb5416bf68a35c8

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