Physics with Mathematics I, lecture 1100-1BB11w

This basic lecture, together with the laboratories presents fundamental concepts and theorems of classical mechanics and thermodynamics. Paralell to the physical phenomena, their mathematical description will be presented. Also practical mathematical tools will be discussed and practised.
Programme
1. Mathematics: calculus with elements of linear algebra
1.1. Linear vector space, basis,dimension, scalar product,
length of a vector, metrical spaces, coordinate systems
1.2. Functions and their graphs, sequence, limit of a sequence,
limit of a function,
continuous function
1.3. Derivatives of a function,differences, study of a variability
of a function, extrema of functions
1.4. Functions of several variables, partial derivatives
1.5. Scalar and vector fields, gradient
1.6 Indefinite integral, finite integral. fundamental theorem
of calculus, multiple integrals
1.7. Differential equations
2. Physics (mechanics)
2.1. Desription of location and description of a path during a motion
2.2. Newtonian laws of motion, inertial systems
2.3. Laws of conservation: mechanical energy, momentum and
angular momentum
2.4 Conservative and central forces, potential forces,potential
energy, concept of work
2.5. Noninertial systems
2.6. Mechanics of a rigid body
3. Thermodynamics
3.1 Boltzmann distribution
3.2. Kinetic theory of ideal gases
3.3. Concept of entropy,
3.4 Internal energy, heat and work
3.5. Laws of classical thermodynamics
3.6 Thermodynamic potentials amd equillibrium
3.7. Carnot cycle and heat en8iones

Regular hard work is needed during the whole semester.
Lectures: 7 hours every week = 105 hours
Repetition of every lecture at home = 9 hours per week
Together: 135 hours per week
Preparation for the exam = 30 hours
Alltogether about 270 hours