On the week of April 18, 2011, you will take the following two exams.
- Performance Exam -- Monday, Apr 18, 7-8:30pm
- Written Exam -- Thursday, Apr 21, 8-10am
Room assignments for the Performance Exam
can be found here. (requires login)
The Written Exam will take place in 1084 (our usual classroom).
End of Term Office Hours
- Tuesday, April 19, 2011 -- 10:30am-12:30pm (1856 East Hall)
(please note that this is a change from the regular Tuesday office hour time)
- Wednesday, April 20, 2011 -- 1pm-3pm (1856 East Hall)
The possibilities for the performance exam are described here (requires login).
Update, 04/13/2011: A rubric and sample problem for the performance exam is now available on cTools.
Update, 04/15/2011: The exact task has been released on cTools.
Doing well on the Written Exam entails mathematical mastery of the following topics.
(Please note that leftover sequences, trigonometric functions, and inverse trigonometric functions are not on this list. You should still know how to give a good explanation of proofs by contradiction, though.)
- Number and operation:
- Defining number systems and operations. What it means to be "closed" (or not) under addition, multiplication, and other arithmetic operations. For example, working with integers, rationals, irrationals, reals, and numbers of the form a+b√7.
- Complex numbers -- their algebra and geometry. Includes DeMoivre's Theorem -- using it to find roots of complex numbers, understanding its relationship to factors of polynomials and roots of polynomials.
- Key examples and properties of functions:
- Polynomials, their factors and roots, long division, synthetic division and its precise relationship to long division, as well as using it to test roots
- Exponential functions and exponents
- Invertibility and the "Horizontal Line Test"
- Sequences and convergence (conceptually, in terms of ε-strips)
While studying for the Written Exam, it would be a good idea to do problems on the above topics from the Problem Sets, the examples in
the Class Summaries and Slides, the problems in the cTools file on the April Performance Exam, the Midterm review session, and the problems described in the cTools file on February Performance Exam Possibilities.
I can promise that a close variant of at least one of the unperformed tasks on the April Performance Exam Possibilities will show up on the Written Exam, and you will be assessed with the standards described in that file!