Resources » Education » Syllabus
Articles/Knowledge Sharing » Syllabus

ADVANCED MATHEMATICS-1


Updated: Category: Syllabus
Author: Member Level: SilverPoints: 2






DEPARTMENT OF MATHEMATICS
M.S.R.I.T,BANGALORE-54.
MATDIP-301 (Advanced Mathematics – I)
LESSON PLAN

TRIGNOMETRY
(6-hours)
L-1 Definitions, complex numbers as an ordered pair, real and imaginary parts, modulus and amplitude of a complex number
L-2 Equality of a complex number, addition, subtraction, multiplication and division of complex numbers
L-3 Polar form, Argand diagram, Exponential form, Expressing in the form a±ib problems.

DIFFERENTIAL CALCULUS (16-hours)
L-4 n th derivatives of standard functions, problems.
L-5 Leibnitz theorem, problems.
L-6 Polar curves, Angle between tangent & radius vector, angle between two intersecting polar curves, problems.
L-7 Taylor’s series, Maclaurin’s series of simple functions for single variable, problems
L-8 Partial Differentiation, Definition, problems
L-9 Euler theorem, Problems L-10 Total differentiation, Differentiation of composite and implicit Functions, problems
L-11 Jacobians, problems LINEAR ALGEBRA (10-hours)
L-12 Elementary row operations, Echelon form, Rank of matrix, Examples
L-13 Consistency of system of Linear equations, Examples, Gauss Elimination Method, problems
L-14 Gauss-Seidel Method, problems
L-15 Eigen values and Eigen vectors, problems
L-16 Power method, problems

DIFFERENTIAL EQUATIONS (10-hours)
L-17 variable separable methods homogenous equations, examples
L-18 Linear, Bernoulli’s and exact differential equations
L-19 Introduction to LDE of second and higher order. Solution ofhomogeneous LDE, examples
L-20 Finding PI for axax ore ax cos, sin L-21 vex axm , , miscellaneous
problems
Note: Each lecture hour is for 2 hours.

FOR MORE DETAILS VISIT: www.msrit.edu/dept/maths/pdf/MATDIP301.pdf


Reference: www.msrit.edu/dept/maths/pdf/MATDIP301.pdf


Did you like this resource? Share it with your friends and show your love!




Responses to "ADVANCED MATHEMATICS-1"

No responses found. Be the first to respond...

Feedbacks      

Post Comment:




  • Do not include your name, "with regards" etc in the comment. Write detailed comment, relevant to the topic.
  • No HTML formatting and links to other web sites are allowed.
  • This is a strictly moderated site. Absolutely no spam allowed.
  • Name:   Sign In to fill automatically.
    Email: (Will not be published, but required to validate comment)



    Type the numbers and letters shown on the left.


    Submit Article     Return to Article Index
    Complete the action items below to enter to win an iPad Mini from India Study Channel! in India Study Channel - Locker on LockerDome
    Awards & Gifts
    Active Members
    TodayLast 7 Daysmore...

     
    ISC Technologies, Kochi - India. © All Rights Reserved.