BAS303 Mathematics-IV Syllabus
AKTU B.Tech · 2nd Year · Unit-wise syllabus (effective 2023-24)
BAS303 Mathematics-IV (also written as BAS403, KAS303) is a subject in the 2nd year of the AKTU B.Tech programme (Semester 1 or Semester 2, depending on your group), prescribed by Dr. A.P.J. Abdul Kalam Technical University. It carries 4 credits with an L-T-P of 3-1-0. The syllabus is divided into 5 units: Partial Differential Equations, Applications of Partial Differential Equations and Fourier Transform, Statistical Techniques I, Statistical Techniques II, Statistical Techniques III. The complete unit-wise topic list, course outcomes and reference books are given below, taken from the official AKTU syllabus effective from 2023-24.
BAS303 Subject Details
| Subject Code | BAS303 / BAS403 / KAS303 |
|---|---|
| Subject Name | Mathematics-IV |
| University | Dr. A.P.J. Abdul Kalam Technical University (AKTU) |
| Course | B.Tech (Bachelor of Technology) |
| Year / Semester | 2nd Year · Semester 1 or 2 (group rotation) |
| Credits | 4 |
| L-T-P | 3-1-0 |
| Total Units | 5 |
| Scheme Effective From | 2023-24 |
| Last Verified | 2026-11-13 |
BAS303 Mathematics-IV Unit-Wise Syllabus
Official AKTU syllabus (effective 2023-24) — 5 units.
Unit 1: Partial Differential Equations
Origin of Partial Differential Equations, Linear and Non-Linear Partial Differential Equations of first order, Lagrange's Equations method to solve Linear Partial Differential Equations, Charpit's method to solve Non-Linear Partial Differential Equations, Solution of Linear Partial Differential Equation of Higher order with constant coefficients, Equations reducible to linear partial differential equations with constant coefficients.
Unit 2: Applications of Partial Differential Equations and Fourier Transform
Method of separation of variables, Solution of one dimensional heat equation, wave equation, Two dimensional heat equation (only Laplace Equation) and their application, Complex Fourier transform, Fourier sine transform, Fourier cosine transform, Inverse transform, convolution theorem, Application of Fourier Transform to solve partial differential equation.
Unit 3: Statistical Techniques I
Overview of Measures of central tendency, Moments, Skewness, Kurtosis, Curve Fitting, Method of least squares, Fitting of straight lines, Fitting of second degree parabola, Exponential curves, Correlation and Rank correlation, Regression Analysis: Regression lines of y on x and x on y.
Unit 4: Statistical Techniques II
Overview of Probability Random variables (Discrete and Continuous Random variable) Probability mass function and Probability density function, Expectation and variance, Discrete and Continuous Probability distribution: Binomial, Poission and Normal distributions.
Unit 5: Statistical Techniques III
Introduction of Sampling Theory, Hypothesis, Null hypothesis, Alternative hypothesis, Testing a Hypothesis, Level of significance, Confidence limits, Test of significance of difference of means, t-test, Z-test and Chi-square test, Statistical Quality Control (SQC), Control Charts, Control Charts for variables (X and R Charts), Control Charts for Variables (p, np and C charts).
BAS303 Course Outcomes
- The students will learn:
- The idea of partial differential equation and its different types of solution.
- The concept of method of separation of variables and Fourier transform to solve partial differential equations.
- The basic ideas of statistics including measures of central tendency, correlation, regression and their properties.
- The idea of probability, random variables, discrete and continuous probability distributions and their properties.
- The statistical methods of studying data samples, hypothesis testing and statistical quality control.
BAS303 Reference Books
- Dr. B.S. Grewal, "Higher Engineering Mathematics", 44th Edition, Khanna Publishers, New Delhi.
- Peter V. O'Neil, "Advance Engineering Mathematics", SI Edition 8th Edition, Cengage Learning, 2017.
- B. V. Ramana, Higher Engineering Mathematics, McGraw-Hill Publishing Company Ltd., 2017.
- Erwin Kreyszig, "Advanced Engineering Mathematics", John Wiley Publications, 1999.
Frequently Asked Questions about BAS303
What is the syllabus of BAS303 Mathematics-IV?
The AKTU BAS303 Mathematics-IV syllabus is divided into 5 units: Partial Differential Equations; Applications of Partial Differential Equations and Fourier Transform; Statistical Techniques I; Statistical Techniques II; Statistical Techniques III. The complete topic list for each unit is published on this page, taken from the official Dr. A.P.J. Abdul Kalam Technical University syllabus effective from 2023-24.
How many units are there in BAS303?
BAS303 Mathematics-IV has 5 units in the AKTU syllabus, with an L-T-P (Lecture-Tutorial-Practical) structure of 3-1-0 and 4 credits.
Is BAS303 the same subject as BAS403?
Yes. AKTU uses the BAS303 code when the subject is taught in Semester 1 and BAS403 when the same subject is taught in Semester 2. The syllabus content is identical — only the code changes.
Which semester is BAS303 taught in?
BAS303 Mathematics-IV does not have a fixed semester. AKTU runs the B.Tech first year in two groups: one group studies this subject in Semester 1 and the other studies it in Semester 2, then the two swap. Only Engineering Mathematics is fixed — Mathematics-I in Semester 1 and Mathematics-II in Semester 2.
How many credits is BAS303 worth?
BAS303 Mathematics-IV carries 4 credits in the AKTU evaluation scheme, with an L-T-P of 3-1-0.
Where can I download BAS303 previous year question papers?
All AKTU BAS303 Mathematics-IV previous year question papers are available to download free on Ryzenstudy, with no login or registration required.
Is this the official AKTU syllabus for BAS303?
Yes. Every topic on this page is taken from the official Dr. A.P.J. Abdul Kalam Technical University syllabus document (AKTU B.Tech Mathematics-III / IV / V Syllabus), effective from 2023-24. A direct link to the original AKTU PDF is provided at the top of this page. Last verified on 2026-11-13.
Related AKTU Syllabus
Source: Dr. A.P.J. Abdul Kalam Technical University official syllabus — AKTU B.Tech Mathematics-III / IV / V Syllabus, effective from 2023-24. Ryzenstudy is not affiliated with AKTU. Content last verified on 2026-11-13.