Pre-requisite for Financial Engineering

Dear experts,
I am planning to pursue a Masters in Financial from one of the UK universities.
Given that the H1B (Work-visa) becoming tough to get I am not too inclined to apply to US universities.
My educational background
1.      High school-commerce (no mathematics)
2.      Bachelors - commerce (no mathematics)
3.      Chartered Account - (no mathematics)
4.      Costs and Works Accountig (no mathematics)
5.      CFA (https://www.cfainstitute.org)-Some basic risk related maths
Experience: Telecom industry/Amex cards/Retail and commercial banks
Recent Profile: Prudential reporting to the regulators/capital and liquidity stress testing
Previous industry: Risk management consulting in Big 4 firm (EY, PWC, KPMG, Deloitte)
My daily routine: Study all the hours (24,7,365). I have tutors who come to my place and teach me the subjects. I have another 1.5 yrs I can give my complete attention to studies (does not include university time). Please do not see it as my arrogance. This is the level of effort and dedication I can /willing to put.
My goal now: Pursue Financial Engineering
Current status: Completed practicing High school mathematics except for Coordinate geometry and Vector algebra
Question1: are these topics required for financial engineering?
Topics: Please see file ‘High school Consolidated list of topics.doc’
Also completing c-language/starting c++-object oriented…
(https://www.amazon.in/dp/B073RD1ZT3/ref=dp-kindle-redirect?_encoding=UTF8&btkr=1)
Once c,c++ are completed, then Python.

My next steps: trying to identify the topics required for high level mathematics:
Topics: Please see attached file BSc-Mathematics-Syllabus-01122015
Question: I request the experts to highlight the topics which are required or add a comment to highlight the topic required as a pre-requisite for FE.

Further, I am possessed/obsessed with the charismatic word ‘stochastic calculus’. This is my target or my fancy.
When I googled and read about the pre-requisites for this level of mathematics, I came across the following threads.
Pre-requisite for Stochastic calculus
https://math.stackexchange.com/questions/369589/what-are-the-prerequisites-for-stochastic-calculus
https://quantnet.com/threads/background-for-stochastic-calculus.7751/
one of the threads
•      learn real analysis level 101
•      learn basics of proofs and what is differentiability and integrability
•      master basic probability
•      combine your knowledge to learn stoch calc
•      you should be be very well versed with integration and differentiation - Advanced calculus level. Believe math for physicists should cover it.
•      university level math for engineers should be sufficient; but proofs well you can learn them
•      get a decent book on real analysis aimed at undergrads.


Kindly guide me. Thank you in advance for your valuable time and knowledge sharing.

Thank you
BSc-Mathematics-Syllabus-01122015.doc
High-school-Consolidated-list-of-to.docx
ExcellearnerAsked:
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aburrCommented:
The links are good for stochastic calculus.
For FEit is impossible to get too much Statistics or Probability
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ExcellearnerAuthor Commented:
aburr,

Thank you.

I have completed the high-school level of Permutations and combinations, and Probability.

I intend to do it at Undergrad level (probability topic which includes calculus) soon.

Do you have any view on the topics under Coordinate geometry and Vector algebra-document: High school Consolidated

thank you
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ExcellearnerAuthor Commented:
aburr/other experts,

I am taking your comment seriously.
Can you please suggest me a book each on Probability and statistics which serves to build my skills and maturity required for Financial Engineering.

Please help me.

Thank you
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