# C3

Mind Map by , created almost 6 years ago

## A-Level Maths Mind Map on C3, created by antybob23 on 11/16/2013.

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 Created by antybob23 almost 6 years ago
Mathematics: Mechanics 3 (Notes 1 of 2)
GCSE Maths: Geometry & Measures
HISTOGRAMS
BIOLOGY B1 1
The Skeleton and Muscles
Mathematics: Core 3 (Notes 1 of 1)
Mathematics: Decision 1 (Notes 1 of 1)
Mathematics: Core (Notes 1 of 1)
Trigonometric Identities
Mathematics: Mechanics 2 (Notes 1 of 2)
C3
1 functions
1.1 modulus
1.1.1 graph
1.1.1.1 |f(x)|

Annotations:

• draw normally, flip up the negatives. always label
1.1.1.2 f(|x|)

Annotations:

• ignore left side, draw over it with the reflection of the right side
1.1.2 solve simultaneous modulus equations
1.2 domain / range
1.2.1 mapping diagrams
1.2.2 one to one, one to many
1.3 inverse function

Annotations:

• calc by reversing subject (make x the subject, not f(x))
1.3.1 reverses domain / range
1.3.2 mirrors in y=x
1.4 combining functions
1.5 graphs
1.5.1 transforming them
1.5.1.1 outside y, inside x
1.5.1.2 y truths, x lies
1.5.1.3 x / stretch and squish, + - shift
1.5.2 sketching
1.5.2.1 axis crossing points

Annotations:

• cross x axis, y=0
• cross y axis, x = 0
1.5.2.2 asymptotes
1.5.2.3 turning points

Annotations:

• $$\frac{dy}{dx}=0$$
2 e / ln
2.1 graphs
2.1.1 e, asymptote y=0, crosses (0,1)
2.1.2 ln, asymptote x=0, crosses (1,0)
2.1.3 all kinds of e^x powers
2.1.3.1 incl. e^-x
2.2 y = e^x, dy/dx = e^x

Annotations:

• can be to any power of it too
2.3 ln = log to the base e
2.3.1 essentially the inverse to e^x
2.4 also called exponential functions
2.5 solve equations!
3 trigonometry
3.1 Trig Identities

Annotations:

• $cos^{2}A + sin^{2}A \equiv 1$
• $sec ^{2}A \equiv 1 + tan^{2}A$
• $cosec^{2}A \equiv 1 + cot^{2}A$
3.1.1 prove them
3.2 CAST diagrams
3.3 sin, cos, tan, cosec, sec, cot
3.3.1 graphs of all
3.3.2 when are they 0? 1? asymptote?
3.3.3 the inverses are 1/whatever
3.4 the trig triangles
3.5 simplify equations / expressions