Week 1
1
Term
2015
Learning Brief
Goals
MM3
Integral Calculus and
Special Functions
By the end of this week, you should be able to:
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define logarithms (log) and exponents
understand the relationship between log and exponent
use index laws
use log laws
manipulate log expressions using log laws to solve log equations
recognise “e” as a special base
Theoretical Components
1. Introduction to Logarithms. Read through,
make your own notes.
2. Working with Exponents and Logarithms.
Read through and make notes on Laws of
Exponents and Laws of Logarithms. Look at
the logs and exponents graphs, change of
base and real world applications.
3. Keep this document on definition of logs
and exponents.
http://bit.ly/z5ug8D
4. Read through all worked examples of
Chapter 5, Sections 5E and 5F of the Yr 11
Methods on the topics ‘Logarithms’ and
‘Solving Logarithmic Equations’.
Practical Components
1. Do the questions at the bottom of this page:
Logarithms
2. Do the questions at the bottom of this page:
Exponents and Logarithms
3. Attempt some questions under each section
http://bit.ly/z5ug8D if you need the practice.
4. Do selected questions of Exercise 5E and 5F
from Yr 11 Methods
Investigation
Show full working. These problems are a good
test of your understanding of log and index
laws, and algebraic manipulation.
a)
b)
c)
QFO
.
Read through to get an insight on the number ‘e’: http://bit.ly/w8OiD
Read through to get an insight on natural logs (ln): http://bit.ly/HsQLF
Quiz/Forum/Other
Find a real life use for logarithms or exponential expressions/equations and discuss
why and how they are used. (This will be due next week.)
Other: Please borrow Cambridge Year 11 3 Unit textbook from the library.
Quiz: No quiz this week.