Acharya Nagarjuna University, Andhra Pradesh, Computer Engineering Semester 1, MATHEMATICS I Syllabus

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 Matrix Operations and Solving Systems of Linear Equations

Unit 1

Matrix operations and solving systems of linear equations

1.1 Rank of a matrix by echelon form

1.2 Solving system of homogeneous and non – homogenous equations Linear equations

1.3 Eigen values and eigen vectors and their properties

1.4 Cayley – Hamilton theorem without proof

1.5 Finding inverse and power of a matrix by Cayley – Hamilton theorem

1.6 Diagonalisation of a matrix

1.7 Quadratic forms and nature of the quadratic forms

1.8 Reduction of quadratic form to canonical forms by orthogonal transformation

Unit - 2 Mean Value Theorems

Unit 2

Mean value theorems

2.1 Rolle’s theorem

2.2 Lagrange’s mean value theorem

2.3 Cauchy’s mean value theorem

2.4 Taylor’s and Maclaurin theorems with remainders without proof

Unit 2

Mean value theorems

2.1 Rolle’s theorem

2.2 Lagrange’s mean value theorem

2.3 Cauchy’s mean value theorem

2.4 Taylor’s and Maclaurin theorems with remainders without proof

Unit - 3 Multivariable calculus

Unit 3

Multivariable calculus

3.1 Partial derivatives

3.2 Total derivatives

3.3 Chain rule

3.4 Change of variables

3.5 Jacobians

3.6 Maxima and minima of function of two variables

3.7 Method of Lagrange multipliers

Unit - 4 Double Integrals

Unit 4

Double Integral

4.1 Double integrals

4.2 Change of order integration

4.3 Double integration in polar coordinates

4.4 Areas enclosed by plane curves

Unit - 5 Multiple Integrals and Special Functions

Unit 5

Multiple Integral and special function

5.1 Evaluation of triple integrals

5.2 Change of variables between Cartesian to polar

5.3 Cylinder and spherical polar coordinates

5.4 Beta and Gamma functions and their properties

5.5 Relation between beta and gamma functions

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
Engineering chemistry
Communicative english i
Programming for problem solving
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