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: 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.
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