This syllabus is taken from http://blog.shastranethralaya.org/?page_id=2

पाठ्यक्रमः

First stage

For those who are interested in understanding the basics of vedanta with a good grasp of the subject.

• sadhana panchakam
• tattva bodha
• vivekachudamani

Second stage

For those who want to understand the intricacies of vedanta without worrying about other shastras.

• First stage +
• other prakarana texts
• panchadashi

Third stage

For those who want to have a complete grasp over shastra

• First stage +
• Other shastras +
• vedanta paribhasha
• panchadashi
• prasthana traya
  • gita bhashya
  • upanishad bhashya
  • brahma sutra bhashya

Turiya stage

For those who want to study the shastras completely, and be independent of any doubts

• Third stage +
• Bhagavad gita (gudartha dipika)
• brihad prasthana
  • advaita siddhi
  • khandana khanda khadya
• siddhanta lesha sangraha OR siddhanta alpavalli
• vedanta siddhanta muktavali

Other shastras

Sanskrit:

• Laghu siddhanta kaumudi
• Siddhanta kaumudi

Sankhya

• Sankhya karika with bhashya

Yoga

• Sutra with bhashya

Nyaya / Vaisheshika

• Tarka sangraha mula
• Tarka sangraha padakritya
• Tarka sangraha nyaya bodhini

Purva Mimamsa

• Artha sangraha