IFYMB002 Mathematics Business Appendix C Formula Booklet

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1 Iteratoal Foudato Year (IFY IFYMB00 Mathematcs Busess Apped C Formula Booklet Related Documet: IFY Mathematcs Busess Syllabus 07/8

2 IFYMB00 Maths Busess Apped C Formula Booklet Cotets lease ote that the letters gve the headg for each secto refer to the topc of the syllabus to whch the formulae relate. A - Lear Equatos... C - Quadratc Equatos, Iequaltes ad Remader Theorem... D - Bomal Epasos, Sequeces ad Seres...3 E - Idces, Epoetal ad Logarthmc Fuctos...4 F - Trgoometrc Fuctos...4 G & N - Dfferetato ad Further Dfferetato...4 H & O - Itegrato ad Further Itegrato...5 I - Itroducto to Statstcs...6 J - Further robablty ad Set Theory...6 K - Correlato, Lear Regresso ad Tme Seres...7 L - robablty Dstrbutos...7 L - Normal Dstrbuto...8 Normal Dstrbuto Table...9 Bomal Cumulatve Dstrbuto Fucto Norther Cosortum UK Ltd. age of 5

3 IFYMB00 Maths Busess Apped C Formula Booklet A - Lear Equatos Straght Le y m c, where m s the slope or gradet, ad c s the y -tercept Le through pots 0, y 0, y ad y y 0 0 y y 0 0 C - Quadratc Equatos, Iequaltes ad Remader Theorem Quadratc Formula If a b c 0, the b b 4ac a 0 a 07 Norther Cosortum UK Ltd. age of 5

4 D - Bomal Epasos, Sequeces ad Seres Bomal Seres Whe s a postve teger, IFYMB00 Maths Busess Apped C Formula Booklet ( a b ( a b a r0 a a r b a b... ab r b r b r C r! r!( r! Arthmetc Seres (A a s the frst term, d s the commo dfferece th term: u a ( d, Sum to terms: S (a ( d Geometrc Seres (G a s the frst term, r s the commo rato th term: u ar Sum to terms: S a( r r a r Sum to fty: S, provded r 07 Norther Cosortum UK Ltd. age 3 of 5

5 IFYMB00 Maths Busess Apped C Formula Booklet E - Idces, Epoetal ad Logarthmc Fuctos log a log log b b a e l a a F - Trgoometrc Fuctos s cos a b c bc cos A s A s B a b s C c G & N - Dfferetato ad Further Dfferetato f ( e k l df ( f ( d f ( s k k e cos ta f ( cos s cos df ( d Cha Rule: If y s a fucto of u ad u s a fucto of, the dy d dy du. du d roduct Rule: If y uv, where u ad v are fuctos of, the dy d du dv v u d d Quotet Rule: If u y v where u ad v are fuctos of, the du dv v u dy d d d v 07 Norther Cosortum UK Ltd. age 4 of 5

6 IFYMB00 Maths Busess Apped C Formula Booklet H & O - Itegrato ad Further Itegrato f (, l l a a b a f ( d f ( b k e s cos f ( d e k k cos s Itegrato by parts dv u d uv d Applcatos of tegrato du v d d Area uder a curve: A b a y d 07 Norther Cosortum UK Ltd. age 5 of 5

7 IFYMB00 Maths Busess Apped C Formula Booklet 07 Norther Cosortum UK Ltd. age 6 of 5 I - Itroducto to Statstcs Measures of average ad spread Ugrouped Data Grouped Data Mea f f Varace f f Stadard Devato f f Chage of org/scale : If ( a k X, the ( a k X X k. J - Further robablty ad Set Theory ( ( ( ( B A B A B A ( ( ( ( ( B A B A B A B A

8 IFYMB00 Maths Busess Apped C Formula Booklet K - Correlato, Lear Regresso ad Tme Seres For a set of pots, y earso's roduct Momet Correlato Coeffcet sy r, where r s s y Regresso le of y o s y y y ( where s y, y s y y y, s, s y y y L - robablty Dstrbutos X s a radom varable takg values wth X p ad p all E X p Epected Value: ( V ((( X E X E X Varace: Bomal dstrbuto X ~ B, p robablty of ( 0 : ( q X p, p where 0,,,, 0 p, q p Mea: p Varace: pq 07 Norther Cosortum UK Ltd. age 7 of 5

9 IFYMB00 Maths Busess Apped C Formula Booklet L - Normal Dstrbuto Stadardsed varable Z X 95% cofdece terval.96, Norther Cosortum UK Ltd. age 8 of 5

10 IFYMB00 Maths Busess Apped C Formula Booklet Normal Dstrbuto Table If Z has a ormal dstrbuto wth mea = 0 ad varace =, the table gves the probablty, p that Z s less tha or equal to z. z Norther Cosortum UK Ltd. age 9 of 5

11 IFYMB00 Maths Busess Apped C Formula Booklet Bomal Cumulatve Dstrbuto Fucto The table below show the value, where has a bomal dstrbuto wth de ad parameter. p= = p= = p= = p= = Norther Cosortum UK Ltd. age 0 of 5

12 IFYMB00 Maths Busess Apped C Formula Booklet p= = p= = p= = Norther Cosortum UK Ltd. age of 5

13 IFYMB00 Maths Busess Apped C Formula Booklet p= = p= = Norther Cosortum UK Ltd. age of 5

14 IFYMB00 Maths Busess Apped C Formula Booklet p= = Norther Cosortum UK Ltd. age 3 of 5

15 IFYMB00 Maths Busess Apped C Formula Booklet p= = Norther Cosortum UK Ltd. age 4 of 5

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