UNIT I MATRICES 

Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and Eigenvectors – Cayley – Hamilton theorem – Diagonalization of matrices – Reduction of a quadratic form to canonical form by orthogonal transformation – Nature of quadratic forms.

UNIT II VECTOR CALCULUS 

Gradient and directional derivative – Divergence and curl – Vector identities – Irrotational and Solenoidal vector fields – Line integral over a plane curve – Surface integral – Area of a curved surface – Volume integral – Green’s, Gauss divergence and Stoke’s theorems – Verification and application in evaluating line, surface and volume integrals.

UNIT III ANALYTIC FUNCTIONS

Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal mapping – Mapping by functions w=z+c, cz, 1/z, z2 – Bilinear transformation.

UNIT IV COMPLEX INTEGRATION 

Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series – Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real integrals – Use of circular contour and semicircular contour.

UNIT V LAPLACE TRANSFORMS 

Existence conditions – Transforms of elementary functions – Transform of unit step function and unit impulse function – Basic properties – Shifting theorems -Transforms of derivatives and integrals – Initial and final value theorems – Inverse transforms – Convolution theorem –Transform of periodic functions – Application to solution of linear second order ordinary differential equations with constant coefficients.

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MA8251 Engineering Mathematics II (EM-II) – FAQ

What is the Full Form of the Subject Code MA8251?

The Full Form of Subject Code MA8251 is Engineering Mathematics II (EM-II).

How to Download MA8251 Notes?

The students can download the MA8251 Engineering Mathematics II (EM-II) Part-A 2 marks, Part-B 13 marks and Part-C 15 marks questions with answers (Notes) on the EasyEngineering website for preparing their upcoming second semester examination.

Where to Download MA8251 Local Author Book PDF?

On the EasyEngineering MA8251 Engineering Mathematics II (EM-II) page, the students can download the Local Author Book PDF, which contains unit wise Part-A 2 marks, Part-B 13 marks and Part-C 15 marks important questions with answers.

How to Download Previous Years MA8251 Question Papers?

The Anna University students can download the MA8251 Engineering Mathematics II (EM-II) Previous Years Question Papers Collection on the MA8251 Question Papers Page, which contains the last 5 years question papers sets (MA8251 Question Bank) for the students to prepare for their upcoming second semester examination.

In which regulation semester exam MA8251 subject is studied?

The MA8251 Engineering Mathematics II (EM-II) subject is studied by the Anna University Students of First Year in their Second Semester Examination of 2017 Regulation.

How to download MA8251 Part-A 2 Mark Questions with Answers?

On the EasyEngineering website, the students can download the MA8251 Engineering Mathematics II (EM-II) Part-A 2 mark Questions with answers. These MA8251 notes are useful for those candidates who are preparing for their upcoming second semester examination of Anna University.

How to download MA8251 Part-B 13 Mark Questions with Answers?

The students can download the MA8251 Engineering Mathematics II (EM-II) Part-B 13 mark Questions with answers on the EasyEngineering webpage for preparing their upcoming Anna University second semester examination.

How to download MA8251 Part-C 15 Mark Questions with Answers?

The MA8251 Engineering Mathematics II (EM-II) Part-C 15 Mark Questions with answers are available to download on the EasyEngineering website for preparing the upcoming Anna University second semester examination. This Part-C is considered as very important section in the regulation 2017 in which the students are focus to answer the questions because the answer for this section is allotted as 15 Marks.

How to download Anna University MA8251 syllabus?

The MA8251 Engineering Mathematics II (EM-II) Syllabus is directly downloaded from the Anna University Regulation 2017 Syllabus page on the EasyEngineering.

How to check Anna University MA8251 Internal Marks?

The MA8251 Engineering Mathematics II (EM-II) Anna University Internal marks can be check by the students from the official portal of Anna University (coe1.annauniv.edu). The steps to check the Anna University Internal marks are clearly explained in the EasyEngineering Anna University Internal Mark checking page.

How to check Anna University MA8251 exam results?

The MA8251 Engineering Mathematics II (EM-II) Anna University semester examination results can be check by the students from the official result checking pages/portals (i.e., aucoe.annauniv.edu or coe1.annauniv.edu). Also, In the EasyEngineering website the Results checking page are available to check the Anna University current semester examination results quickly.

How to check Anna University MA8251 Grace marks details?

In the Easyengineering MA8251 Engineering Mathematics II (EM-II) page contains the grace mark details to notify the students to know about the grace marks provided by Anna University for the invalid or out of portions/syllabus questions asked in the current second semester MA8251 exam.

Which Engineering department is studying the MA8251 as one subject?

The MA8251 Engineering Mathematics II (EM-II) subject is studied by the Anna University First year students of Entire Engineering department as one subject in their second semester examination.