15SC02M: Engineering Maths-II Instrumentation 2nd Sem Syllabus for Diploma DTE Karnataka C15 Scheme

Engineering Maths-II detail DTE Kar Diploma syllabus for Electronics Instrumentation And Control Engineering (EI), C15 scheme is extracted from DTE Karnataka official website and presented for diploma students. The course code (15SC02M), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.

For all other instrumentation 2nd sem syllabus for diploma c15 scheme dte karnataka you can visit Instrumentation 2nd Sem Syllabus for Diploma C15 Scheme DTE Karnataka Subjects. The detail syllabus for engineering maths-ii is as follows.

Pre-requisites:

Engineering Mathematics-I, in First Semester Diploma curriculum.

Course Objectives:

1. Apply the concept of straight line and conic section in engineering field.
2. Determine derivatives of functions involving two variables.
3. Apply the concepts of differentiation in physics and engineering courses.
4. Evaluate the integrals of functions of two variables.
5. Apply the concepts of definite integrals and its application over a region.
6. Solve the ODE of first degree, first order in engineering field.

Unit-1: COORDINATE GEOMETRY 08hr

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UNIT – 2: DIFFERENTIAL CALCULUS 15hr

Differentiation. Definition of increment and increment ratio. Definition of derivative of a function. Derivatives of functions ofxn, sinx, cosxand tanxwith respect to ‘x’ from first principle method. List of standard derivatives of cosecx, secx, cotx, loge x, ax, ex etc. Rules of differentiation: Sum, product, quotient rule and problems on rules. Derivatives of function of a function (Chain rule) and problems. Inverse trigonometric functions and their derivatives. Derivative of Hyperbolic functions, Implicit functions, Parametric functions and problems. Logarithmic differentiation of functions of the type uv,where u and v are functions of x.Problems. Successive differentiation up to second order and problems on all the above types of functions.

UNIT – 3: APPLICATIONS OF DIFFERENTIATION 07hr

Geometrical meaning of derivative. Derivative as slope. Equations of tangent and normal to the curve y = ‘f(x)’ at a given point- (statement only). Derivative as a rate measure i.e.to find the rate of change of displacement, velocity, radius, area, volume using differentiation. Definition of increasing and decreasing function. Maxima and minima of a function.

UNIT-4: INTEGRAL CALCULUS 12hr 30

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UNIT – 5: DEFINITE INTEGRALS AND ITS APPLICATIONS 05 hr

Definition of Definite integral. Problems on all types of integration methods. Area, volume, centres of gravity and moment of inertia by integration method. Simple problems.

UNIT – 6: DIFFERENTIAL EQUATIONS 05 hr

Definition, example, order and degree of differential equation with examples. Formation of differential equation by eliminating arbitrary constants up to second order. Solution of O. D. E of first degree and first order by variable separable method. Linear differential equations and its solution using integrating factor.

Course Delivery:

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.

Course Outcomes:

On successful completion of the course, the student will be able to:

1. Formulate the equation of straight lines and conic sections in different forms.
2. Determine the derivatives of different types of functions.
3. Evaluate the successive derivative of functions and its application in tangent, normal, rate measure, maxima and minima.
4. Evaluate the integrations of algebraic, trigonometric and exponential function.
5. Calculate the area under the curve, volume by revolution, centre of gravity and radius of gyration using definite integration.
6. Form and solve ordinary differential equations by variable separable method and linear differential equations.

Reference Books:

1. NCERT Mathematics Text books of class XI and XII.
2. Higher Engineering Mathematics by B.S Grewal, Khanna publishers, New Delhi.
3. CBSE Class Xi & XIIby Khattar & Khattar published PHI Learning Pvt. ltd.,
4. First and Second PUC mathematics Text Books of different authors.
5. E-books: www.mathebook.net
6. www.freebookcentre.net/mathematics/ introductory-mathematics -books.html

Model Question Paper:

Refer from the pdf file

For detail syllabus of all other subjects of BE Instrumentation, C15 scheme do visit Instrumentation 2nd Sem syllabus for C15 scheme.

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