Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: Integral TransformsUnit 2: Partial Differential EquationsUnit 3: Applications of Partial Differential Equations
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Complex AnalysisUnit 5: Statistical Techniques
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 3 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 5 chapters · 27 topics
01Unit 1: Integral Transforms
6 topics+
- Fourier integral theorem
- Fourier transform and inverse transform
- Fourier sine and cosine transforms
- Properties and convolution theorem
- Z-transform of standard sequences and its properties
- Inverse Z-transform and solution of difference equations
02Unit 2: Partial Differential Equations
5 topics+
- Formation of PDE by eliminating constants and functions
- Lagrange's linear equation (Pp + Qq = R)
- Linear PDE of higher order with constant coefficients
- Complementary function and particular integral
- Classification of second-order PDE
03Unit 3: Applications of Partial Differential Equations
5 topics+
- Method of separation of variables
- One-dimensional wave equation
- One-dimensional heat conduction equation
- Two-dimensional Laplace equation
- Solution of PDE by Fourier transform
04Unit 4: Complex Analysis
5 topics+
- Analytic functions and Cauchy-Riemann equations
- Conformal mapping and bilinear transformation
- Cauchy's integral formula
- Laurent series and singularities
- Residue theorem and evaluation of real integrals
05Unit 5: Statistical Techniques
6 topics+
- Moments, skewness and kurtosis
- Correlation and lines of regression
- Curve fitting by the method of least squares
- Binomial, Poisson and normal distributions
- Testing of hypothesis: t-test, chi-square test and F-test
- Statistical quality control charts
About this course
You will be able to
- Find Fourier sine, cosine and complex transforms and Z-transforms of standard functions
- Form and solve first-order and higher-order linear partial differential equations
- Solve wave, heat and Laplace equations by the method of separation of variables
- Apply analytic functions, conformal mapping and residues to engineering problems
- Use moments, correlation, regression, probability distributions and tests of significance on data
Who it is for
- B.Tech second-year students (Semester 3) of Civil, Mechanical, Electrical and Electronics & Communication Engineering under AKTU
- Students who need step-by-step practice of transforms, PDE and statistics numericals
- Lateral-entry diploma holders who need extra support in engineering mathematics
What you need
- Engineering Mathematics-I and II
- Scientific calculator and statistical tables
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
Questions
Which syllabus is followed?
The current AKTU (Dr. A.P.J. Abdul Kalam Technical University, Lucknow) B.Tech syllabus of Engineering Mathematics-III (Semester 3, core branches). If your university or college follows a different syllabus, the centre teaches from your own university syllabus.
Is statistics included?
Yes. Unit 5 covers statistical techniques with practice on tables and real data sets.
Do lateral-entry students get help?
Yes. Needed topics of Mathematics-I and II are revised briefly before the related units.
