Prepare for your exams
Get points
Guidelines and tips

Prepare for your exams

Study with the several resources on Docsity

Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips

Sell on Docsity

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents

20 Points

For each uploaded document

Answer questions

5 Points

For each given answer (max 1 per day)

All the ways to get free points

Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study

Go to the blog

Trig Identities, Differentiation, Vectors, Continuous & Probability Distributions, Study notes of Mathematics

European School of Economics (ESE)Mathematics

Various mathematical concepts including trigonometric identities, differentiation, vectors, continuous distributions, and probability distributions. It includes formulae for calculating sin, cos, and tan identities, derivatives of functions, vector products, and continuous and discrete probability distributions. It also discusses the Poisson cumulative distribution function.

What you will learn

What is the vector product of two vectors?
What is the Poisson cumulative distribution function?
What is the probability density function of a continuous random variable?

What are the trigonometric identities for sin and cos?
How do you find the derivative of a function?

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

ralphie 🇬🇧

4.8

(8)

214 documents

1 / 140

This page cannot be seen from the preview

Don't miss anything!

GCE

Edexcel GCE in Mathematics

Mathematical Formulae and Statistical

Tables

For use in Edexcel Advanced Subsidiary GCE and

Advanced GCE examinations

Core Mathematics C1 - C4

Further Pure Mathematics FP1 - FP3

Mechanics M1 - M5

Statistics S1 - S4

Modified large print version produced by

V I Resourcing Limited

Partial preview of the text

Download Trig Identities, Differentiation, Vectors, Continuous & Probability Distributions and more Study notes Mathematics in PDF only on Docsity!

GCE

Edexcel GCE in Mathematics

Mathematical Formulae and Statistical

Tables

For use in Edexcel Advanced Subsidiary GCE and

Advanced GCE examinations

Core Mathematics C1 - C Further Pure Mathematics FP1 - FP Mechanics M1 - M Statistics S1 - S

Modified large print version produced by V I Resourcing Limited

For use from June 2009

This copy is the property of Edexcel. It is not to be removed from the examination room or marked in any way.

Page 14 Core Mathematics C 14 Mensuration 14 Arithmetic series

15 Core Mathematics C 15 Cosine rule 16 Binomial series 17 Logarithms and exponentials 17 Geometric series 18 Numerical integration

TABLE OF CONTENTS (continued)

Page

19 Core Mathematics C 19 Logarithms and exponentials 20 - 21 Trigonometric identities 22 Differentiation

23 Core Mathematics C 24 Integration

TABLE OF CONTENTS (continued)

Page

32 Further Pure Mathematics FP 32 - 35 Vectors 36 Hyperbolics 37 Conics 38 - 39 Differentiation 40 - 41 Integration 42 Arc length 43 Surface area of revolution

TABLE OF CONTENTS (continued)

Page

45 Mechanics M 45 Centres of mass 46 Mechanics M 46 Motion in a circle 47 Centres of mass 48 Universal law of gravitation

Mechanics M 1 There are no formulae given for M1 in addition to those candidates are expected to know.

Page 54 Statistics S 54 Probability 55 Discrete distributions 56 Continuous distributions 57 - 59 Correlation and regression

60 - 64 The Normal distribution function

65 Percentage points of the Normal distribution

TABLE OF CONTENTS (continued)

Page 66 Statistics S 66 Discrete distributions 67 - 68 Continuous distributions

69 - 103 Binomial Cumulative Distribution Function

104 - 111 Poisson Cumulative Distribution Function

TABLE OF CONTENTS (continued)

Page

128 Statistics S 128 - 129 Sampling distributions

130 - 132 Percentage Points of Student's t Distribution

133 - 140 Percentage Points of the^ F^ Distribution

There are no formulae provided for Decision Mathematics units D and D2.

Core Mathematics C

Mensuration Surface area of sphere (^) = 4 π r^2 Area of curved surface of cone (^) = π r (^) × slant height

Arithmetic series

un = a + (n – 1 ) d

Sn = 21 n( a (^) + l ) (^) = 12 n [ 2a (^) + (n – 1) d ]

Binomial series

(n ε ℕ)

where (^) = nCr = (^) r!(nn! r)!

(1 + x)n^ = 1 + nx + x^2 + • • • + xr^ + • • •

( I x I < 1 , n ε ℝ)

n

r

n 2

(a + b) n^ = a n^ + n a n^ −^^1 b + a n^ −^^2 b 2 + • • • + a n^ −^ r^ b r^ + • • • + b n

r −

− n n(^ 1)^..^ .(^ n^ r 1) 1 2... r

n n( 1) 1 2

− + × ×

− ×

Logarithms and exponentials

log (^) a x = loglog^ b xa b

Geometric series

un = ar n^ −^^1

Sn = a^ rr ( 1 n) 1

S (^) = for I r I < 1

− −

− 1 a r

Core Mathematics C

Candidates sitting C3 may also require those formulae listed under Core Mathematics C1 and C

Trig Identities, Differentiation, Vectors, Continuous & Probability Distributions, Study notes of Mathematics

Related documents

Partial preview of the text

Download Trig Identities, Differentiation, Vectors, Continuous & Probability Distributions and more Study notes Mathematics in PDF only on Docsity!

GCE

Mathematical Formulae and Statistical

Tables

For use in Edexcel Advanced Subsidiary GCE and

Advanced GCE examinations

TABLE OF CONTENTS

TABLE OF CONTENTS (continued)

TABLE OF CONTENTS (continued)

TABLE OF CONTENTS (continued)

TABLE OF CONTENTS

TABLE OF CONTENTS (continued)

TABLE OF CONTENTS (continued)

Core Mathematics C

un = a + (n – 1 ) d

(n ε ℕ)

(1 + x)n^ = 1 + nx + x^2 + • • • + xr^ + • • •

( I x I < 1 , n ε ℝ)

n

r

(a + b) n^ = a n^ + n a n^ −^^1 b + a n^ −^^2 b 2 + • • • + a n^ −^ r^ b r^ + • • • + b n

r −

Core Mathematics C

e x^ ln^ a^ ==ax

sin (A ± B) = sin A cosB ± cos A sinB

cos ( A ±B) =cos A cos B ±sin A sinB

tan (A ± B) = 1 tan A ±tan A tanB^ ±^ tanB (A ±B ≠(k +^12 ) π)