Exponential Functions

Thanks to Florida Community College at Jacksonville

Exponential and Logarithmic Functions

Full Credit Goes to Florida Community College at Jacksonville

Polynomial Functions

Give Florida Community College At Jacksonville full credit for this. It's nice to have a audio/visual explanation of this stuff

Composite Functions, 05a Maths1 SG 2.8

Hey guys, I hated composite functions, but now I kind of understand it's relatively easy.

Just remember work from right to left when dealing with composite functions, if you have any questions please leave a comment or send me an email.

Maths1 Notes from Chapter 1

Maths 1 Notes from pg 7 to 8 Main Text - Upload a Document to Scribd

A new community on Yansa for BSc Management majors

Hey guys, with the limit of my blog and email, I created this community HERE so we can post our homework, discussions, answers, etc here, let's meet here for discussions

Beecher’s Algebra & Trig alternate to Booth

For those of you studying with us and for those of us that are a little rusty at Maths, here's the alternative for Booth's

Foundation Mathematics. I have emailed the Study Group the download link for this resource.

Booth Foundation of Mahematics	Beecher Algebra & Trig (BC)
Chapter 1 Module 1: Arithmetic
Module 3 Unit 1: The Integers Unit 3: Rational Numbers	R1 & R2
Module 4: Real & Imaginary Numbers	2.2 (sorry in American, it's complex numbers!, I was confused)
Module 5: Matrices & Vectors Unit 1: Matrices & Their Arithmetic Unit 2: The Inverse of a Matrix Unit 3: Determinant's & Cramer's Rule Unit 4: Vectors & Their Arithmetic Unit 5: Geometric Vectors	8.3 to 8.6 (BC) 7.5 & 7.6 (BC)
Module 6 Unit 1: Rhetorical Problems Aka Word Problems, I'll look for resources
Module 7 Unit 1: Polynomial Unit 2: Expansion	3.1 to 3.3
Module 11: Sytems & Functions, Unit 1: Input, Process & Output Unit 2: Algebraic Functions	1.1 1.6
Module 12: Unit 1: Graphs of Functions Unit 2: Ordered Pairs Unit 3: Related Graphs Unit 4: Even & Odd Functions	1.2 1.3 1.4 1.5, 1.7
Module 13: Unit 1: Trigonometric Functions Unit 2: The Trigonometric Equations	Chapter 5
Module 14: Unit 1: Exponential Functions Unit 2: The Logarithmic Functions	4.2, 4.3
Module 15 Unit 1: The Inverse of a Function	4.1

For those of you studying with us, some practice math problems

Officially or unofficially whether you're in our study group or not, here's what we're doing:

Page 51, #121 to 125 (Word Problems)

Page 82 to 83, #177 to 200 (Graphs)

Let's turn this in by Monday to Each Other, just do it by hand and scan and let's critique each other's work, encourage each other, etc

501 Algebra Questions - Upload a Document to Scribd

For those of you that have a hard time with Matrices

Hey guys, I hate Matrix and Functions, to make life a little easier I discovered Schaum's Outline of Theory and Problems of Matrix Operations

Click HERE for the download

Download Links for Alternate Text

Alternate for the Main Text Basic Mathematics for Economists, click HERE

For Schaum's Outline of Trig (SOT) click HERE

For Beecher Algebra & Trigonometry (BC), we'll use this as the alternate to Booth's Mathematics, click HERE

For Thomas Calculus click HERE this requires a password: www.freebookspot.com

I got most of it right on the prior blog post, if there's any mistake please leave a comment or go to profile and send me an email, happy studying guys

Unit information sheets

We provide unit information sheets to help you choose which units to study. The sheets include key information such as the syllabus, on which you’ll be examined; the unit aims and objectives; learning outcomes; an essential reading list; prerequisite and exclusion information; and method of assessment.

05a Maths1 Info Guide - Upload a Document to Scribd

Do Y'all Want Me to Post or Send Some Practice Math Problems?

A few people asked me (OK, I'm lying, I read one post on Yansa where someone wanted practice math problems). Give me a week or two to find all these resources (I will upload Algebra texts to my scribd account soon) and I will use it in conjunction with the reading materials, because all of us are not Rockefeller's children, so I know we can't buy all the book the SG suggests, so I will download similar books and compare the TOC (table of contents) and upload and share with you all
Happy Studying Guys

Syllabus for October

OK guys, there are 7 chapters in the Maths study guide (Chap 8 is for revision), so if we study 3 weeks per chapter of the SG, we should be done in 21 weeks and spend the last 8 weeks doing revisions, practice tests etc and be able to get a 70% on this!!!!

Chapter 2 breakdown:
Oct 3 to Oct 6: Chap 1 of Main Text
SG 2.1 to 2.3
Oct 7 to 10: Chap 2 of Main Text
SG 2.4 to SG 2.6

Oct 11 to Oct 12
Review Ch 1 & 2 of Main Text and SG 2.1 to 2.6

Oct 13 to 16: Chapter 7.1 & 7.2 of the Main Text
SG 2.7 to 2.10

Oct 17 to 22: Chap 7.3 & 7.4 of the Main Text, Binmore Calculus 2.1 to 2.6 or Thomas Calculus Functions Section
SG 2.11 to 2.14

Oct 22 to Oct 31: Same readng as above
SG 2.11 to 2.18

Oct 31 to Nov 3: SG 2.19 & 2.20

WHAT THEY WANT US TO GET OUT OF THIS CHAPTER (page 30 of the SG or what I like to call the educator's propaganda LOL)
1. Determine inverse functions and composite functions
2. Sketch graphs of simple functions
3. Sketch qudratic curves and solve quadratic equations.
4. Solve basic simultaneous equations.
5. Find equilibria from supply and demand functions, and sketch these.
6. Find break-even points.
7. Explain what is meant by exponential-type functions and be able to sketch their graphs.
8. Use properties such as ax+y = axay and (ax)y = axy
9. Explain what is meant by the exponential function Ex
10. Describe the natural logarithm (ln x), logarithms to base a (log a x) and their properties.
11. Describe the functions sin x, cos x, tan x and their properties, key values, and graphs.
12. Explain what is meant by inverse trigonometrical functions.

For those of you studying along with us

Wanted to give a shout out to Laura from Yansa, my study partner in 05a Maths1 for those of you taking this course, I will post here often how and what we're studying so I hope you join us and for those of you that wish to join us as study partners, either leave a comment or go to my profile and feel free to email me :)

Week 1: Chapter 2 Study Guide (Chapter 1 we should have already read) Any related materials I will post here.

Readings:
Mathematics for Economics & Finance
Chapter 1 and 2

Maths SG 2.1 to 2.5

Let's spend Fri to Monday doing Chapter 1 and Tuesday to Friday doing Chapter 2 and Sat & Sun reviewing Chap 1 & 2

(Don't worry about Binmore Calculus yet, we'll cover that next week, it's also related to Chapter 7 of the main text)

Functions, Basic

1.2 Functions

Covers same materials as Binmore's Calculus Chapter 2, Sections 2.1 to 2.6, much more detail

To download click HERE

1.2 Functions - Upload a Document to Scribd

1.1 - Basic Calculus

Covers Same materials Maths Study Guide Chapter 2 section 2.5 :)

To download click HERE

1.1 - Basic Calculus - Upload a Document to Scribd

THE BEST EXPLANATION OF FUNCTION I FOUND SO FAR!!!!

Hey guys I hate functions to the "Nth Degree" The Schaum's text will correspond with Chapter 2.1 to 2.6 of Binmore's Calculus Book

To download click HERE, Use ID: uolexternalstudent and p/w lseexternal no need to register :)

Chapter 7 Functions & Their Graphs - Upload a Document to Scribd

Oxford User's Guide to Mathematics

This covers all the maths from basic algebra all the way up to calculus, stats, etc. So any time we have a question, this is a very valuable resource:

Oxford Users Guide to Mathematics - Upload a Document to Scribd

Read this document on Scribd: Oxford Users Guide to Mathematics

Basic Mathematics for Economist

Basic Mathematics for Economists - Mike Rosser - Upload a Document to Scribd

Read this document on Scribd: Basic Mathematics for Economists - Mike Rosser

Inverse Demand Function

Inverse Demand Function = Amount manufacturers/companies are willing to produce/supply if the price were p, so if you look at the graph on the left, the higher the price the more the quantity supplied whereas in the demand (see post below) curve the lower the price the higher the demand.

Remember demand function was expressed as: qD q = quantity. And the formula is qDp (how many units will be sold at what price).



Quick Review before the example:
pD = inverse demand function
qD = deman function

qDp = how many consumers are willing to buy (demand) if price is p
pDq = how much suppliers are willing to produce/supply if price is p

Remember the last example:
6q+8p=125

In this case we want "p" (or express in p) on the left as opposed to "q"
6q+8p=125
-6q -6q

8p = 125-6q
pDq = 125-6q/8

Then let's substitute w/ 4 as in the last example

p = (125-6x4)/8
p = 125 - 24/8
p = 101/8

The Demand Set

q = quantity demanded
p = price

Demand Set D (in plain English) = It's the relationship between the price of an item to its demand, so if you look at the curve here, at p5 (price 5), the demand is 10, at p1, the demand is approximately 55. (q,p)

Demand Function = As p (price) changes, the q (Quantity demanded) changes as shown in the chart to the left. It is expressed mathematically as qD.

So the formula would be written as qDp

So for example, let's look at this problem:

6q+8p=125

Let's get q by itself (remember Algebra guys)

6q+8p=125
-8p -8p

Then we get:
6q = 125-8p

Then, let's divide each side by "6"
6q/6 = 125-8p/6

We finally get:

q = 125 - 8p/6
or
qDp = 125 - 8p/6

Remember p = price, and just use the substition formula if p = 4
qD(4) = (125 - 8X4)/6
(125-32)/6
93/6

therefore qDp = 93/6

dowling introduction to mathematical economics

Introduction to Mathematical Economics

Recommended Reading, Binmore's Calculus

Once again, gotta give mad props to Google Books:

Binmore's Calculus

Mathematics For Economics & Finance

For those of us who don't have the book yet, Google books uploaded a preview of this book:

Mathematics for Economics & Finance

Hello Everybody

Due to my frustration of lack of real resources for University of London external students especially LSE, I created this blog so maybe, just maybe I can meet other people and hopefully they'll discover me and we can correspond.