Course title Special and General Relativity
Code F112
Status Lectures (30), Exercises (15)
Level Elective course
Year 3. Semester 6.
Lecturer Dario Hrupec, Assistant Professor
Course objective Comprehend one of the fundamental theories of modern physics.
Prerequisites Competences acquired in courses on the first two years of undergraduate study.
Learning outcomes After successfully completed course, student will be able to

  1. Describe the basic concepts of the theory of relativity.
  2. Differentiate facts from wrong general public ideas about the theory of relativity.
  3. Discuss postulates of the special theory of relativity and their consequences.
  4. Explain the twin paradox.
  5. Explain the concept of invariance.
  6. Explain the concept of space-time.
  7. Discuss the equivalence principle.
  8. Describe gravity as space-time curvature.
  9. Describe the basic characteristics of black holes and gravity waves.
  10. Describe general theory of relativity as mathematical basis of physical cosmology.
Teaching activity ECTS Learning outcome Students’ activity Methods of evaluation Points
min max
Class attendance 0,5 1-10 Attends classes Evidence list 0 10
Colloquia or written exam 1,5 1-10 Solves numerical problems Written exam 0 40
Final exam 2 1-10 Explains concepts of the theory of relativity Oral exam 0 50
Total 4 0 100
Consultations by appointment
Gained competencies GENERAL COMPETENCIES:

  1. application of the scientific world view
  2. ability to distinguish scientific from non-scientific explanations of relativity
  3. the use of the basic vocabulary of the theory of relativity
  4. understanding of basic concepts of the theory of relativity


  1. problem analysis
  2. critical thinking
  3. conceptual thinking
  4. ability to learn
Course curriculum
  • Space and Time Before Einstein
  • In Search of the Ether
  • Space and Time in Special Relativity
  • Geometric Structure of Space-Time
  • Transformation of the Electromagnetic Field
  • Energy and Momentum
  • Covariant Formulation
  • Inertia and Gravity
  • Results of General Relativity
Recommended reading
  1. Rafael Ferraro, Einstein’s Space-Time: An Introduction to Special and General Relativity, Springer, 2007.
Additional reading
  1. Bernard Schutz, A First Course in General Relativity, 2nd edition, Cambridge University Press, 2016.
  2. Robert B. Scott, A Student’s Manual for A First Course in General Relativity, Cambridge University Press, 2016.
  3. A. Zee, Einstein Gravity in a Nutshell, Princeton University Press, 2013.
  4. Josip Brana, Opća teorija relativnosti, Osijek 2011.
Instructional methods Two hours of lectures and one hour of exercises per week. Students are encouraged to ask questions and participate in discussions during lectures and exercises.
Exam formats Two preliminary written exams with numerical exercises during the semester or a final written exam with numerical exercises at the end of the course. In addition, an oral exam is mandatory.
Language Croatian
Quality control and successfulness follow up Student survey
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