Mathematics II

Mathematics – II Video, PPT, lecture notes, assignments, question papers for jntuk, jntuh, jntua, vtu, bput, anna universities

Beginner 0(0 Ratings) 0 Students enrolled
Created by Ramanjaneyulu K Last updated Thu, 23-Apr-2020 English


Mathematics II free videos and free material uploaded by Ramanjaneyulu K .

Syllabus / What will i learn?

Course Objectives:

  • The course is designed to equip the students with the necessary mathematical skills and techniques that are essential for an engineering course.
  • The skills derived from the course will help the student from a necessary base to develop analytic and design concepts.
  • Understand the most basic numerical methods to solve simultaneous linear equations.

Course Outcomes:

At the end of the Course, Student will be able to:

  • Calculate a root of algebraic and transcendental equations. Explain relation between the finite difference operators.
  • Compute interpolating polynomial for the given data.
  • Solve ordinary differential equations numerically using Euler’s and RK method.
  • Find Fourier series and Fourier transforms for certain functions.
  • Identify/classify and solve the different types of partial differential equations.

UNIT I:

Solution of Algebraic and Transcendental Equations: Introduction- Bisection method – Method of false position – Iteration method – Newton- Raphson method (One variable and simultaneous Equations).

UNIT II:

Interpolation: Introduction- Errors in polynomial interpolation – Finite differences- Forward differences- Backward differences –Central differences – Symbolic relations and separation of symbols - Differences of a polynomial-Newton’s formulae for interpolation – Interpolation with unequal intervals - Lagrange’s interpolation formula.

UNIT III:

Numerical Integration and solution of Ordinary Differential equations: Trapezoidal rule- Simpson’s 1/3rd     and 3/8th rule-Solution of ordinary differential equations by Taylor’s series-Picard’s method of successive approximations-Euler’s method - Runge- Kutta method (second and fourth order).

UNIT IV:

Fourier Series: Introduction- Periodic functions – Fourier series of -periodic function - Dirichlet’s conditions – Even and odd functions –Change of interval– Half-range sine and cosine series.

UNIT V:

Applications of PDE: Method of separation of Variables- Solution of One dimensional Wave, Heat and two- dimensional Laplace equation.

UNIT VI:

Fourier Transforms: Fourier integral theorem (without proof) – Fourier sine and cosine integrals - sine and cosine transforms – properties – inverse transforms – Finite Fourier transforms.



Curriculum for this course
6 Lessons 00:00:00 Hours
Unit-I
1 Lessons
  • PDF
  • PDF
  • PDF
  • PDF
  • PDF
  • PDF
+ View more
Description
You need online training / explanation for this course?

1 to 1 Online Training contact instructor for demo :


+ View more

Other related courses
Updated Wed, 22-Apr-2020
Updated Wed, 24-Feb-2021
Updated Wed, 22-Apr-2020
Updated Thu, 30-Apr-2020
About the instructor
  • 0 Reviews
  • 23 Students
  • 73 Courses
+ View more
Student feedback
0
Average rating
  • 0%
  • 0%
  • 0%
  • 0%
  • 0%
Reviews

Material price :

Free

Online Training not available