Lecture
Studying Mechanics: Introduction and Mathematical Tools
Related lectures (31)
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Introduction and Historical Perspective, Vectors and Kinematics
Explores historical perspective, vectors, kinematics, and mathematical modeling of physical systems.
Virtual Work in Structural Mechanics
Explores virtual work in structural mechanics, emphasizing equilibrium states and the application of virtual displacements.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Calculus: Derivatives and Integrals
Covers the fundamentals of calculus, focusing on derivatives and integrals.
Coordinate Systems: Polar, Cylindrical, Spherical
Covers position, velocity, and acceleration in polar, cylindrical, and spherical coordinate systems.
Partial Derivatives and Functions
Covers partial derivatives for functions of one and two variables, emphasizing their importance and calculation.
Polar Coordinates: Position and Velocity
Explores polar coordinates, position, velocity, and acceleration vectors in Cartesian and polar systems, including cylindrical and spherical coordinates.
Derivatives and Continuity in Multivariable Functions
Covers derivatives and continuity in multivariable functions, emphasizing the importance of partial derivatives.