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Courses

Mathematics III (PDE, Probability & Statistics)

Mathematics III (PDE, Probability & Statistics)

This course equips engineering students with essential mathematical tools for modeling and analyzing complex physical systems. It is divided into three core modules: Partial Differential Equations (PDEs): Students learn to formulate and solve first and second-order PDEs, classify them, and apply methods such as D’Alembert’s solution, Duhamel’s principle, and separation of variables. Applications include heat conduction, wave propagation, and vibrational problems in mechanical and thermal systems. Probability Theory: This section introduces foundational concepts like random variables, probability distributions, expectation, and moments. It also covers key discrete and continuous distributions relevant to real-world data modeling. Statistics: Focused on data interpretation, students explore sampling, estimation, hypothesis testing, correlation, and regression analysis—crucial for engineering applications involving uncertainty and decision-making under variability. Together, these modules provide the analytical backbone needed for advanced subjects in fluid dynamics, thermodynamics, signal processing, and beyond.

Author
Pavan
Mathematics Mechanical
+15 more
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CBSE 8 Mathematics

CBSE 8 Mathematics

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CBSE 8 Mathematics helps students maths problem-solving and analytical skills through topics like algebra, geometry, and data handling. The subject prepares students for real-life applications and future academic challenges.

Author
Pavan
CBSE 8 Grade 8
+14 more
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CBSE 10 Mathematics

CBSE 10 Mathematics

CBSE 10 Mathematics helps students master key concepts like algebra, geometry, and statistics. It builds problem-solving skills and logical thinking, essential for everyday life and further studies in science and engineering.

Author
Pavan
CBSE 10 Grade 10
+10 more
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CBSE 9 Mathematics

CBSE 9 Mathematics

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CBSE 9 Mathematics covers topics like linear equations, geometry, statistics, and probability. It enhances problem-solving skills, logical thinking, and prepares students for real-life challenges and further studies

Author
Akhil
Grade 9 Cbse 9
+10 more
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