Here’s a great video (above) that demonstrates the Sun Salutation in the Sivananda Style.
I have been doing these for years, but I have my own variations for doing this. But, I started learning the Sivananda Style first.
Surya Namaskar is the Sanskrit name for the Sun Salutations.
Surya Namaskara (IPA: [su:rjɐ nɐmɐskɐ:rɐ]; Sanskrit: सूर्य नमस्कार; IAST: Sūrya Namaskāra) also known in English as Sun Salutation (lit. “salute to the sun”) is a common sequence of asanas. Its origins lie in a worship of Surya, the Hindu solar deity. This sequence of movements and asanas can be practised on varying levels of awareness, ranging from that of physical exercise in various styles, to a complete sadhana which incorporates asana, pranayama, mantra and chakra meditation. It is often the beginning vinyasa within a longer yoga series. Sūrya Namaskāra may also refer to other styles of “Salutations to the Sun”. —from Wikipedia
You could just learn to do this and it would count as a Yoga Routine, and not ever learn other sequences and poses. Thought, many sequences are based on Sun Salutations and other poses are added to form a complete Yoga Routine.
Here’s another great example of the Sun Salutation.
My sun salutations are slower like this and I try to settle into each pose, instead of flowing from one pose to another. Power Yoga and Ashtanga Yoga sun salutations tend to be faster and can flow from one post to the other.