**Module I - Basics**

Lecture 01 - Fourier spectroscopy (by Ilya Kuprov)

Lecture 02 - Magnetic resonance instruments (by Giuseppe Pileio)

Lecture 03 - Digital signal processing (by Ilya Kuprov)

Lecture 04 - Quantum theory of angular momentum (by Ilya Kuprov)

Lecture 05 - Quantum mechanical theory of spin (by Ilya Kuprov)

Lecture 06 - Spin interaction Hamiltonians, part I (by Ilya Kuprov)

Lecture 07 - Spin interaction Hamiltonians, part II (by Ilya Kuprov)

Lecture 08 - Formal theory of rotations (by Ilya Kuprov)

Lecture 09 - Wavefunction formalism (by Ilya Kuprov)

Lecture 10 - Density operator formalism (by Ilya Kuprov)

Lecture 11 - Product operator formalism (by Ilya Kuprov)

Lecture 12 - Rotating frame approximation (by Ilya Kuprov)

**Module II - Algebra**

Lecture 01 - Vector and matrix spaces (by Ilya Kuprov)

Lecture 03 - Formal theory of rotations
(by Ilya Kuprov)

Lecture 04 - SU(N) group of unitary transformations (by Ilya Kuprov)

Lecture 05 - Simulation design and coding, part I (by Ilya Kuprov)

Lecture 06 - Simulation design and coding, part II (by Ilya Kuprov)

Lecture 07 - Simulation design and coding, part III (by Ilya Kuprov)

Lecture 08 - Simulation design and coding, part IV (by Ilya Kuprov)

Lecture 09 - Large-scale simulations (by Ilya Kuprov)

**Module III - Relaxation theory**

Lecture 01 - Perturbative relaxation theories (by Ilya Kuprov)

Lecture 02 - Correlation functions and spectral densities (by Ilya Kuprov)

Lecture 03 - Common relaxation mechanisms (by Ilya Kuprov)

Lecture 04 - Applications of liquid state relaxation theory (by Ilya Kuprov)

Lecture 05 - Singlet states and their properties (by Giuseppe Pileio)

Lecture 06 - Relaxation properties of singlet states (by Giuseppe Pileio)

Lecture 07 - Preparation and detection of singlet states, part I (by Giuseppe Pileio)

Lecture 08 - Preparation and detection of singlet states, part II (by Giuseppe Pileio)

**Module IV - Hyperpolarization**

Lecture 01 - Simulation of solid state DNP experiments (by Ilya Kuprov)

Lecture 02 - DNP experiments and hardware (by Ilya Kuprov)

Lecture 03 - Parahydrogen-induced spin polarization

Lecture 04 - Spin-selective chemical reactions