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Mathematics-I (3110014)
Old Code : 2110014
[PDF]
Home
Syllabus
Practicals
Books
Question Papers
Result
MCQ
5
Credit
3
+
2
+
0
Lect + Tuto + Pract
Teaching Scheme
70
+
30
+
0
ESE + PA + ALA
Theory Marks
30
+
0
+
20
ESE + OEP + PA
Practical Marks
ESE
- End Semester Examination,
PA
- Progress Assessment,
ALA
- Active Learning Assignments,
OEP
-Open Ended Problem
Prerequisite
Algebra, Trigonometry, Geometry
Rationale
The study of reate of changes, understanding to compute area, volume and express the function in terms of series, to apply matric algebra.
Course Outcome
After learning the course the student should be able to:
identify intermediate forms and can evaluate
determine the convergence/divergence of improper integral
use beta and gamma function
evaluate volume by cross section
compute lenght of curve
evaluate the area of surface of revolution
determine the covergence of divergence of sequence
use the sandwich theorem for sequence
evaluate the value of geometric series
determine the nature of telescoping series
use integral test
apply the p-series for comparision test or Limit comparison test
apply various test for convergence or divergence of an infinite series
find the radius of convergence of power series
find the Taylor series, Maclaurin series
express the function in fourier series who satisfied Dirichlet's condition
express the function in half range expansion
evaluate the limit of functions of 2 variables
understand the continuity of function of two variables
apply the test for non existance of limit
find partial derivatives
use chain rule
determine gradients and directional derivative
implicit and total differentiation
find local extreme values
use Lagrange's multipliers method to find extreme value
evaluate double integrals as area as well as volume
apply change of order of integration to simplify integral
compute double integration in polar coordinates
compute triple integrals in rectangular, cylinder and spherical coordinates
determine the Jacobian for substitution in multiple integral
use elementary row operation to get Row echelon form
use elementary row operation to get Reduced row echelon form
find rank by echelon forms
compute inverse by Gauss-Jordan
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