This course in “Essential Mathematics for Physicists” offers an exploration of fundamental mathematical concepts, emphasizing vectors, matrices, and vector algebra, providing students with essential tools for advanced studies in physics. Through rigorous instruction, students develop proficiency in mathematical techniques crucial for solving complex problems encountered in various branches of physics.
This course, "Physics Around You," provides an engaging exploration of fundamental physics principles manifested in everyday life, trying to connect theoretical concepts and the real-world phenomena that shape our daily experiences. From mastering concepts like units, dimensions, and motion laws to developing expertise in optical phenomena, including reflection and refraction, learners will gain a solid foundation in physics.
The course is structured to spark curiosity among the students and encourage them to explore and appreciate the vastness of the universe using diverse tools of astronomy. The course immerses students in the vast realm of astronomy, imparting a deep understanding of astronomical scales, positional concepts, and the evolution of stars. It further equips learners with the skills to identify celestial objects, constellations, and galaxies, as well as handling tools for observational astronomy.
UNIT I
Vector analysis (8 hrs)
Curvilinear co-ordinates(8 hrs)
UNIT II
Linear vector space (8 hrs)
Probability theory and distribution (6 hrs)
UNIT III
Matrices (12 hrs)
UNIT IV
Tensors (12 hrs)