Summary Calculus, perfect handwriting notes for you. With planty examples and explanation. ISBN: 9781938168079 MAT135 (MAT135)
28 views 1 purchase
Course
MAT135 (MAT135)
Institution
University Of Toronto (U Of T
)
Book
Calculus
Perfect handwriting notes. Great help for your calculus. It varies from basic formulas and concepts to exciting questions to thoroughly explained examples. I hope this note will help students who need the summary or the examples to understand calculus. Don't forget to have a look at my other course...
Questions and detailed answers on Parametric equations and polar coordinates
All for this textbook (3)
Written for
University of Toronto (U of T
)
Maths
MAT135 (MAT135)
All documents for this subject (1)
Seller
Follow
yihansun
Content preview
135
NAT
crawford
, Section 1. I
or
→A
FUNCTION :
A function consists of a set of inputs ( the domain ) i
a set of outputs ( the range ] ,
and a rule for assigning each input to
exactly
one output
☒¥5T horizontal
.
line
µµ ¥4
:
:
Vertical line Two ineeoseoes function
→ one
-
to -
one
if fix , ) -1-1-1×2 ] When Xi =/ X2
(V ) ( X )
{
notation interval noeaiaion
see -
builder notation
D= 15 x )
{
,
D= {✗ 1 a > 5. HER } or D=
{ ✗ c- r I ✗ > 5
} or D= { XIX 53 >
Composite Functions :
If f- and g are functions and
the range of f is a subset of the domain of g ,
then their composition
go f is the function ego f) CXI =
gcfcxs )
If +
g) IX) =
f- Cx) + guy
ftp.gcxlfog-fcglxy-g
f. g =
,Section i. 2
FUNCTIONS :
There are a main to
ways represent
functions .
A table of value
{ A
A
A
formula
graph
word description
Piecewise Defined Functions ( PDF)
-
: is a function
defined by different formulas different parts
of on its domain
°
if
/
§
✗ ✗< I
fcx , = •
= closed
2- ✗ if I E ✗ <3
.
✗ -1 if • ex ⑤
open
=
absolute value function
f-CX ) = 1×1 -
, Mathematical modelling :
* The process life problem formula equations
of translating a real -
into .
* Tries to predict future events .
* Mathematical analysis of a problem / situation .
* using data & observation
/analysing to find outcomes .
* Not always 100% accurate
* Aim for useful enough
it to be accurate enough to be but simple
,
to make computations
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller yihansun. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $16.03. You're not tied to anything after your purchase.
