atishjoygobin

math pre-undergrad
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7 hr 29 min
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76 hr 36 min
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 q.12+
    Result: q. 12, 13
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch.3 q.11
    Result: q.11 was clean. Looking forward to the next 4
    Feeling:
  • Avatar for atishjoygobin
    finished 16m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read and Raid q.10+11
    Result: 10 good. 11 bad, gave up too early. Re-try after โ˜•๏ธ
    Feeling:
  • Avatar for atishjoygobin
    finished 23m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read and Raid q.9
    Result: Did ok, missed a lemma
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read and Raid q.7
    Result: q7. Easy but take an arbitrary element q.8 Sum of subspaces does not have coefficients
    Feeling:
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    finished 21m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read and Raid q.5
    Result: 5+6 done. Composition of injective maps is injective BUT you canโ€™t take v, w because we might just have the zero vector.
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read and Raid q.4
    Result: TRICK to show V = U + W โ€”> ADD ZERO. Take some v \in V, then v = [ v + ( ) ] - ( ) where the parts are in U, W respectively
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 Read & Raid q.3
    Result: 1. We wanted outputs from U so obviously we should start with a basis of U 2. The โ€˜arbitrary outputโ€™ thing is becoming more clear now
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ G2Analysis โ€” Continue reading Ch. 3 Series
    Result: Integral test. Alternating series test
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ G2Analysis โ€” Read Ch. 3 Series
    Result: Converges โ€”> terms go to zero, ratio test, comparison test
    Feeling:
  • Avatar for atishjoygobin
    finished 43m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 problems
    Result: Nope
    Feeling:
  • Avatar for atishjoygobin
    finished 15m timer
    Plan: ๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ป Write automation
    Result: Done
    Feeling:
  • Avatar for atishjoygobin
    finished 21m timer
    Plan: ๐ŸŽฏ Schaumโ€™s LA โ€” Continue โ€˜Linear Mappingsโ€™ problems
    Result: Slow
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐ŸŽฏ Schaumโ€™s LA - โ€˜Linear Mappingsโ€™ problems
    Result: Distracted by phone
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐ŸŽฏ Schaumโ€™s LA โ€” Read โ€˜Linear Mappingsโ€™
    Result: Slow, groggy. Problems next
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 1st pass problems
    Result: Done. Now reading Schaumโ€™s โ€˜Linear mappingsโ€™
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: Write regex to block news
    Result: Done
    Feeling:
  • Avatar for atishjoygobin
    finished 15m timer
    Plan: ๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ป Finish writing new bot
    Result: Done. Idea: straddle the 2nd price out
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ป Write list of programming projects
    Result: Done. Learning, Bf, quant, personal
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ป Continue writing scalp
    Result: Nothing
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐Ÿ‘จ๐Ÿฝโ€๐Ÿ’ป Add 'Above 5m_low' to automation + write scalp
    Result: (i) done, not (ii)
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐Ÿ“ LADR โ€” Ch. 3 โ€˜Linear Mapsโ€™ problems
    Result: Tough. Not enjoying this
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐Ÿ“ LADR โ€” Understand why a linear map is determined by its values on a basis
    Result: Feeling better. Meaning of โ€˜determined byโ€™
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: Read Alcock article
    Result: 6/11 pages. Follow-up references
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐Ÿ“ LADR โ€” Take another stab at matrices of linear maps
    Result: Linear map is determined by bases, matrix of linear map, invertibility, isomorphic
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: Write quick outline of what I did today
    Result: Done. Good night all
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: ๐ŸŒ G2A โ€” Ch. 2.2 Prove weak inequalities are preserved in limits, but strong inequalities arenโ€™t
    Result: My proof wasnโ€™t valid because the limits a,b are not necessarily in the sequences a_{n}, b_{n}
    Feeling:
  • Avatar for atishjoygobin
    finished 31m timer
    Plan: ๐ŸŒ G2A โ€” Ch. 2.2 What happens if we massage inequalities to a constant sequence? + algebra of limits division proof
    Result: I took the โ€œb_{n} is boundedโ€ approach for division rule but they took a different one. Suggests I could try their new method on the a_{n}b_{n} โ€”> ab proof?
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ G2A โ€” Ch. 2.2 quickly recall previous session then prove algebra of limits
    Result: Recalled + 2/3 algebra of limits proofs
    Feeling:
  • Avatar for atishjoygobin
    finished 45m timer
    Plan: ๐ŸŒ G2A โ€” Continue Ch. 2.2
    Result: Limit is unique, convergent ==> bounded
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ G2A โ€” Continue Ch. 2.2
    Result: If youโ€™re massaging inequalities you might invoke the shift rule, then you need N = max{ , }. Trying to prove limit is unique
    Feeling:
  • Avatar for atishjoygobin
    finished 35m timer
    Plan: ๐ŸŒ Guide to Analysis โ€” Continue Ch. 2.2
    Result: ๐ŸŽ‰๐ŸŽ‰ 100 timers WOOOOO!!! ๐ŸŽ‰๐ŸŽ‰ Comparison test often combined with โ€˜shift ruleโ€™ to massage the inequalities
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ Guide to Analysis โ€” Recall then do everything from Ch. 2.2
    Result: Not much. Definitions, convergent => bounded, comparison
    Feeling:
  • Avatar for atishjoygobin
    finished 51m timer
    Plan: ๐ŸŒ Guide to Analysis โ€” Continue reading Ch. 2 Sequences p. 19-
    Result: Done. Standard limits, subsequences, Cauchyโ€™s criterion, triangle inequalities
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: ๐ŸŒ Guide to Analysis โ€” Speed read Ch. 2 Sequences
    Result: 18/37 pages. Sequence tends to infinity, comparison, squeeze, algebra of limits
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: Outline discrete + algebra notes from the past 2 days
    Result: Almost done
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: Clean Kindle and write up logbook
    Result: Done. Book list: Four Corners
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: math24 โ€” Outline my integration resource
    Result: About 2/3 done
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: math24 Integration โ€” Trig. and hyperbolic substitutions q's 10-
    Result: Done! q's 10-18
    Feeling:
  • Avatar for atishjoygobin
    finished 30m timer
    Plan: math24 Integration โ€” Trig. and hyperbolic substitutions q's 6-
    Result: q's 6-9
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: math24 Integration โ€” Trigonometric and hyperbolic substitutions
    Result: q's 1-6. Good problems. Slow :(
    Feeling:
  • Avatar for atishjoygobin
    finished 55m timer
    Plan: math24 Integration โ€” Vector-valued functions
    Result: Done! Arbitrary vector constant. Moved onto trig. + hyperbolic substitutions
    Feeling:
  • Avatar for atishjoygobin
    finished 45m timer
    Plan: math24 Integration โ€” Hyperbolic functions recall the nice questions from yesterday then continue
    Result: Done and moved to vector-valued functions. Defn. of vector-valued function
    Feeling:
  • Avatar for atishjoygobin
    finished 45m timer
    Plan: math24 Integration โ€” Hyperbolic functions q's 10-
    Result: q's 10-13. {10, 11, 12} were fantastic, I should be able to recall those examples from memory
    Feeling:
  • Avatar for atishjoygobin
    finished 45m timer
    Plan: math24 Integration โ€” Trigonometric integrals q's 11-
    Result: Done + hyperbolics q's 1-9
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: math24 Integration โ€” Trigonometric integrals q's 3-
    Result: q's 3-10. sin and cos either both even, both odd, or one even/one odd. Draw a map for the strategies
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: math24 Integration โ€” Weierstrass q's 10-
    Result: Done + trig. integrals q's 1-2. Weierstrass sub for sin^{2}(2x) is a lot easier to remember if you just remember t = tan(x) is the general sub for even powers
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: math24 Integration โ€” Weierstrass q's 6-
    Result: q's 6-9
    Feeling:
  • Avatar for atishjoygobin
    finished 25m timer
    Plan: math24 Integration โ€” Weierstrass
    Result: q's 2-5. Weierstrass sub for cos(x), cos(x/2), cos(2x) are all just scaled versions of each other
    Feeling:
  • Avatar for atishjoygobin
    finished 45m timer
    Plan: Add 'Steps into Analysis', 'Guide to Analysis' and 'How to Integrate it' to Notability
    Result: Done
    Feeling: