Presntation for the post of lecturer in MathematicsKifayat Ullah
This talk was given during the recruitment process for the post of Lecturer in Mathematics, at University of Science and technology Bannu, on the topic of "Comparison of Reiman integration and lesbegue integration theories".
Presntation for the post of lecturer in MathematicsKifayat Ullah
This talk was given during the recruitment process for the post of Lecturer in Mathematics, at University of Science and technology Bannu, on the topic of "Comparison of Reiman integration and lesbegue integration theories".
Fundamentals of Physics "MOTION IN TWO AND THREE DIMENSIONS"Muhammad Faizan Musa
4-1 POSITION AND DISPLACEMENT
After reading this module, you should be able to . . .
4.01 Draw two-dimensional and three-dimensional position
vectors for a particle, indicating the components along the
axes of a coordinate system.
4.02 On a coordinate system, determine the direction and
magnitude of a particle’s position vector from its components, and vice versa.
4.03 Apply the relationship between a particle’s displacement vector and its initial and final position vectors.
4-2 AVERAGE VELOCITY AND INSTANTANEOUS VELOCITY
After reading this module, you should be able to . . .
4.04 Identify that velocity is a vector quantity and thus has
both magnitude and direction and also has components.
4.05 Draw two-dimensional and three-dimensional velocity
vectors for a particle, indicating the components along the
axes of the coordinate system.
4.06 In magnitude-angle and unit-vector notations, relate a particle’s initial and final position vectors, the time interval between
those positions, and the particle’s average velocity vector.
4.07 Given a particle’s position vector as a function of time,
determine its (instantaneous) velocity vector. etc...
Fundamentals of Physics "MOTION IN TWO AND THREE DIMENSIONS"Muhammad Faizan Musa
4-1 POSITION AND DISPLACEMENT
After reading this module, you should be able to . . .
4.01 Draw two-dimensional and three-dimensional position
vectors for a particle, indicating the components along the
axes of a coordinate system.
4.02 On a coordinate system, determine the direction and
magnitude of a particle’s position vector from its components, and vice versa.
4.03 Apply the relationship between a particle’s displacement vector and its initial and final position vectors.
4-2 AVERAGE VELOCITY AND INSTANTANEOUS VELOCITY
After reading this module, you should be able to . . .
4.04 Identify that velocity is a vector quantity and thus has
both magnitude and direction and also has components.
4.05 Draw two-dimensional and three-dimensional velocity
vectors for a particle, indicating the components along the
axes of the coordinate system.
4.06 In magnitude-angle and unit-vector notations, relate a particle’s initial and final position vectors, the time interval between
those positions, and the particle’s average velocity vector.
4.07 Given a particle’s position vector as a function of time,
determine its (instantaneous) velocity vector. etc...
4. In the diagram, PQRS is a quadrilateral. PR and QS is a diagonal of the quadrilateral intersection at T. point u lies on PS. It is given that , , and . Given that and where m and n are constant, find the value of m and of n. Solution: Example of vector. u P T Q S R