JNTUK B.Tech Mathematics – II for R13 Batch

JNTUK B.Tech Mathematics – II Syllabus for Engineering R13 gives you detail information about Mathematics – II subject.

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).

• Subject Category
  ABET Learning Objectives a e k
  ABET internal assessments 1 2 4 6
  JNTUK External Evaluation A B E

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 unevenly spaced points – Lagrange’s Interpolation formula.

• Subject Category
  ABET Learning Objectives a e
  ABET internal assessments 1 2 4 6
  JNTUK External Evaluation A B E

UNIT III  : Numerical solution of Ordinary Differential equations

Solution by Taylor’s series-Picard’s Method of successive Approximations- Euler’s Method-Runge-Kutta Methods.

• Subject Category
  ABET Learning Objectives a e
  ABET internal assessments 1 2 4 6
  JNTUK External Evaluation A B E

UNIT IV  : Fourier Series

Introduction- Determination of Fourier coefficients – even and odd functions –change of interval– Half-range sine and cosine series. Application: Amplitude, spectrum of a periodic function

• Subject Category
  ABET Learning Objectives a e d
  ABET internal assessments 1 2 6
  JNTUK External Evaluation A B E

UNIT V :  Fourier Transforms

Fourier integral theorem (only statement) – Fourier sine and cosine integrals – sine and cosine transforms – properties – inverse transforms – Finite Fourier transforms.

• Subject Category
  ABET Learning Objectives a d e k
  ABET internal assessments 1 2 6
  JNTUK External Evaluation A B E

UNIT VI  : Z-transform

Introduction– properties – Damping rule – Shifting rule – Initial and final value theorems –Inverse z transform- -Convolution theorem – Solution of difference equation by Z –transforms.

• Subject Category
  ABET Learning Objectives a b e k
  ABET internal assessments 1 2 6
  JNTUK External Evaluation A B E

BOOKS

• B.S. GREWAL, Higher Engineering Mathematics, 42nd Edition, Khanna Publishers.
• DEAN G. DUFFY, Advanced Engineering Mathematics with MATLAB, CRC Press.
• V. RAVINDRANATH and P. VIJAYALAXMI, Mathematical Methods, Himalaya Publishing House.
• ERWYN KREYSZIG, Advanced Engineering Mathematics, 9th Edition, Wiley-India.

Subject Category	ABET Learning Objectives	ABET Internal Assessments	JNTUK External Evalution	Remarks
Theory Design Analysis Algorithms Drawing Others	a) Apply knowledge of math, science, & engineering	1. Objective tests	A. Questions should have:
	b) Design & conduct experiments, analyze & interpret data	2. Essay questions tests	B. Definitions, Principle of operation or philosopy of concept. Mathematical
	c) Design a system/process to meet desired needs within economic, social, political, ethical, health/safety, manufacturability, & sustainability constraints	3. Peer tutoring based	C. treatment, derivations, analysis, synthesis, numerical problems with inference. Design oriented problems
	d) Function on multidisciplinary teams	4. Simulation based	D. Trouble shooting type of
	e) Identify, formulate, & solve engineering problems	5. Design oriented	E. Questions Applications related questions
	f) Understand professional & ethical responsibilities	6. Problems based	F. Brain storming questions
	g) Communicate effectively	7. Experiential (project based) based
	h) Understand impact of engineering solutions in global, economic, environmental, & societal context	8. Lab work or field work based
	i) Recognize need for & be able to engage in lifelong learning	9. Presentation based
	j) Know contemporary issues	10. Case Studies based
	k)Use techniques, skills, modern tools for engineering practices	11. Role- Play based
		12. Portfolio based

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