# VTU B.TECH Aeronautical-Engineering 2nd year SEMESTER – IV Syllabus For Additional mathematics – ii PDF 2022

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You will be able to find information about Additional mathematics – ii along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Additional mathematics – ii after reading this blog. Additional mathematics – ii has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Additional mathematics – ii can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

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### Additional mathematics – ii Unit One

#### Linear Algebra:

Linear Algebra: Introduction – rank of matrix by elementary row operations – Echelon form. Consistency of system of linear equations – Gauss elimination method. Eigen values and Eigen vectors of a square matrix. Problems.

### Additional mathematics – ii Unit Two

#### Numerical Methods:

Finite differences. Interpolation/extrapolation using Newton’s forward and backward difference formulae (Statements only)-problems. Solution of polynomial and transcendental equations –Newton-Raphson and Regula-Falsi methods (only formulae)- Illustrative examples. Numerical integration: Simpson’s one third rule and Weddle’s rule (without proof) Problems.

### Additional mathematics – ii Unit Three

#### Higher order ODE’s:

Linear differential equations of second and higher order equations with constant coefficients. Homogeneous /non-homogeneous equations. Inverse differential operators.[Particular Integral restricted to R(x)=axaxeaxcos/sin, for()().xRyDf= ]

### Additional mathematics – ii Unit Four

#### artial Differential Equations(PDE’s):

Formation of PDE’s by elimination of arbitrary constants and functions. Solution of non-homogeneous PDE by direct integration. Homogeneous PDEs involving derivative with respect to one independent variable only.

### Additional mathematics – ii Unit Five

#### Probability

Probability: Introduction. Sample space and events. Axioms of probability. Addition & multiplication theorems. Conditional probability, Bayes’s theorem, problems.

### Additional mathematics – ii Course Objectives

To provide essential concepts of linear algebra, second & higher order differential equations along with methods to solve them. •To provide an insight into elementary probability theory and numerical methods.

### Additional mathematics – ii Course Outcomes

At the end of the course the student will be able to:CO1:Solve systems of linear equations using matrix algebra. CO2: Apply the knowledge of numerical methods in modelling and solving engineering problems. CO3: Make use of analytical methods to solve higher order differential equations. CO4: Classify partial differential equations and solve them by exact methods. CO5: Apply elementary probability theory and solve related problems.

### Additional mathematics – ii Text Books

Higher Engineering Mathematics-B.S. Grewal

### Additional mathematics – ii Reference Books

Kreyszig
Engineering Mathematics -N. P. Bali and
Manish Goyal
Engineering Mathematics Vol. I -Rohit Khurana

### Scoring Marks in Additional mathematics – ii

Information about VTU B.Tech Additional mathematics – ii was provided in detail in this article. To know more about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application. Click below to download the CynoHub application.