Shivaji University, Maharashtra, Computer Engineering Semester 1, Engineering Mathematics-I Syllabus

Engineering Mathematics-I Lecture notes | Videos | Free pdf Download | Previous years solved question papers | MCQs | Question Banks| Syllabus
Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.
Try Now for free

Unit - 1 Matrices and Solution of Linear System Equations

Unit 1

Matrices and Solution of Linear System Equations

1.1 Rank of matrix definition normal form and echelon form

1.2 Consistency of linear system equations

1.3 System of linear homogeneous equations

1.4 System of linear Nonhomogeneous equations

Unit - 2 Eigen Values and Eigen vectors

Unit 2

Eigen Values and Eigen vectors

2.1 Eigen Values

2.2 Properties of Eigen Values

2.3 Eigen vector Properties of Eigen vectors

2.4 CayleyHamiltons theorem Without proof

Unit - 3 Complex Numbers

Unit 3

Complex Numbers

3.1 De Moivres Theorem Without proof

3.2 Roots of complex numbers by using De Moivres Theorem

3.3 Expansion of sinnθ and cosnθ in powers of sinθ and or cosθ

3.4 Circular functions of a complex variable – definitions

3.5 Hyperbolic and Inverse Hyperbolic Functions definitions

Unit - 4 Numerical Solution of linear simultaneous equations

Unit 4

Numerical Solution of linear simultaneous equations

4.1 Gauss elimination method

4.2 Gauss Jordan method

4.3 Jacobi’s iteration method

4.4 GaussSeidel iteration method

Unit - 5 Expansion of Functions and Indeterminate forms

Unit 5

Expansion of Functions and Indeterminate forms

5.1 Maclaurins theorem

5.2 Taylors theorem

5.3 Indeterminate forms and L Hospitals rule

Unit - 6 Partial Differentiation

Unit 6

Partial Differentiation

6.1 Partial derivatives Introduction

6.2 Total derivatives

6.3 Differentiation of implicit function

6.4 Eulers theorem on homogeneous function of two variables

6.5 Jacobian and its Properties

6.6 Maxima and Minima of functions of two variables

Download CSE Sem 1 syllabus pdf
Get access to 100s of MCQs, Question banks, notes and videos as per your syllabus.
Try Now for free
Other Subjects of Semester-1
Applied mechanics
Engineering physics
Engineering graphics
Engineering chemistry
Basic civil engineering
Basic electrical engineering
Basic mechanical engineering
Professional communication-i
Fundamentals of electronics and computer
Popular posts
Top 10 free online resources to learn coding
What is machine learning
What is cloud computing
What is DBMS architecture
Sorting algorithm overview
Share  
Link Copied
More than 1 Million students use Goseeko! Join them to feel the power of smart learning.
Spot anything incorrect? Contact us