
- Teacher: Anuz Kumar Chakrabarty
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Differential Equations: The equation which contains derivatives (ordinary or partial) is called a differential equation (D.E.). Differential Equations is known as one of the important mathematical course. In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Because such relations are extremely common, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.Laplace transform: The Laplace transform is similar to the Fourier transform. While the Fourier transform of a function is a complex function of a real variable (frequency), the Laplace transform of a function is a complex function of a complex variable. The Laplace transform is usually restricted to transformation of functions of t with t ≥ 0. A consequence of this restriction is that the Laplace transform of a function is a holomorphic function of the variable Fourier Series: In mathematics, a Fourier series is a periodic function composed of harmonically related sinusoids, combined by a weighted summation. With appropriate weights, one cycle of the summation can be made to approximate an arbitrary function in that interval. As such, the summation is a synthesis of another function. The discrete-time Fourier transform is an example of Fourier series. The process of deriving the weights that describe a given function is a form of Fourier analysis.
This is a multidisciplinary course designed to equip students with the knowledge on focal themes relating to Bangladesh. The first theme is the inevitability of the emergence of Bangladesh as a state entity in the context of a long historical background and the second theme draws attention to the experience of Bangladesh in governance and democratization. The students attending this course are expected to be made aware of the past and present of Bangladesh for the enlargement of their knowledge to face the challenges of 21st century.
Course Objectives:This is an introductory course in mathematics, the subject deals with the introduction to algebra, trigonometry, differential calculus, integral calculus, etc. This course is designed to equip students with the tools necessary to be successful at the university level. Mathematical readiness, confidence, and productive study habits are improved through both self-directed and collaborative activities. Topics include the arithmetic of integers and rational numbers, the use of arithmetic properties to simplify algebraic expressions, solving algebraic equations up to degree two, and elements of graphing. The role of mathematics as a tool for engineering will be highlighted. Course Outcomes:After studying this subject, the student should acquire a basic understanding of the ideas and techniques of linear algebra, calculus, probability, and statistics. They may also see how mathematics can be applied in various engineering contexts, and that the use of mathematics helps them to better grasp the concepts.
Biostatistics is the science which deals with development and application of the most appropriate methods for the: ➢ Collection of data. ➢ Presentation of the collected data. ➢ Analysis and interpretation of the results. ➢ Making decisions on the basis of such analysis.