From 4a95719d58a708ad55b1389631d6339047f786a0 Mon Sep 17 00:00:00 2001 From: standenboy Date: Fri, 15 Dec 2023 10:19:20 +0000 Subject: added existing work --- maths/MUSTKNOW/cosineRule | 11 +++++++++++ maths/notes/1 | 11 +++++++++++ maths/notes/2 | 8 ++++++++ maths/notes/3 | 19 +++++++++++++++++++ maths/notes/4 | 14 ++++++++++++++ maths/notes/5 | 12 ++++++++++++ 6 files changed, 75 insertions(+) create mode 100755 maths/MUSTKNOW/cosineRule create mode 100755 maths/notes/1 create mode 100755 maths/notes/2 create mode 100755 maths/notes/3 create mode 100755 maths/notes/4 create mode 100755 maths/notes/5 (limited to 'maths') diff --git a/maths/MUSTKNOW/cosineRule b/maths/MUSTKNOW/cosineRule new file mode 100755 index 0000000..a57f4f7 --- /dev/null +++ b/maths/MUSTKNOW/cosineRule @@ -0,0 +1,11 @@ +trig rule, used to find missing sides on a triangle + +a^2 = b^2 + c^2 - 2bc cos(A) + +when rearranged can be: + +cos(A) = (b^2 + c^2 - a^2) / (2bc) // use this one when you only have side lengths + +when using this use cos^-1 + +example in folder p1 diff --git a/maths/notes/1 b/maths/notes/1 new file mode 100755 index 0000000..68f5531 --- /dev/null +++ b/maths/notes/1 @@ -0,0 +1,11 @@ +the fist lesson was not a nice time +started with setting up techy stuff, the classroom, outlook +then got straight in with a test + +the test wasnt too bad but everyone else was alot faster, work on speed +cosine rule killed me as well as a large similtanius equation +work on them + +need to chase up teacher on the text book login but have already sent an email so not too worried + +the people next to you seem nice, although quiet as expected diff --git a/maths/notes/2 b/maths/notes/2 new file mode 100755 index 0000000..d37e82c --- /dev/null +++ b/maths/notes/2 @@ -0,0 +1,8 @@ +maths was fine + +just did stuff from the work book (exersise 1d) + +worked on ^x + +todo: + learn the 7 rules of them diff --git a/maths/notes/3 b/maths/notes/3 new file mode 100755 index 0000000..e3ba333 --- /dev/null +++ b/maths/notes/3 @@ -0,0 +1,19 @@ +3rd maths lesson, going well so far, we are working on factorizing in the first half + +i think we will be doing surds in the second half + +the fatorizing is pretty easy overall + +for factorizing things like 4x^2 + 4x + 3, you multiply the first value and the last then find a pair of numbers that adds together to equal the middle value, then put them back in individually and factorise the thing + +surds does not sound fun + +surds arent that bad really, to simplify them split them into 2 factors, one must be a square number +then square root the square number and move it out of the sign, then leave the remaining value + +the lesson was fun, everyone was somewhat interested in the thinkpad, ill have to show them more next lesson +the guy oposite you knows what linux is + +nothing was overly chalenging + + diff --git a/maths/notes/4 b/maths/notes/4 new file mode 100755 index 0000000..757456e --- /dev/null +++ b/maths/notes/4 @@ -0,0 +1,14 @@ +so far so good with maths, todays work was quite hard however + +had to work on some completing the square + +also found out how to solve some weird quadratics + +if something is like x^6+x^3+2 its still a quadratic +to solve it you would say let y = x^3 +then rewrite the equation as y^2+y+2 +then solve with the quadratic formula or factorizing +and then cube root the ans to give it in terms of x for the final anwser + +you can only do that when all the powers line up with something that can be divided to match a quadratic +so x + x^7 + 23 wouldnt work diff --git a/maths/notes/5 b/maths/notes/5 new file mode 100755 index 0000000..e389064 --- /dev/null +++ b/maths/notes/5 @@ -0,0 +1,12 @@ +writing this late and cant really remember what we did +we did some work on completing the square which is never too hard, however i should try and do some more work on it +try and remember how to put something into a completed square form as well as take it out + +x^2 + 6x + 6 +(x + 3)^2 - 3 +method is to half B, then subtract b^2, and add whatever is needed to make sure + c works + +this can be used to find the turning point of the graph, the section in brackets needs to have its sign flipped +this is similar to using factorising to solve a quadratic +the value outside the bracket stays as is +in the example given the turning point would be (-3, -3) -- cgit v1.2.3