Thursday, March 21, 2013 8:00 am-11.00 am, MS5117.

Exam Rules

• A small calculator is allowed in the exam for scalar arithmetic.  Students are required to describe step by step matrix computation in the exam.
• Students are not allowed to open text books and class notes while in the exam.
• Students are not allowed to bring 3x5 cards to the exams

Coverage: Everything taught in the class; see the syllabus listed in the class homepage

Go over again and again exercises in the lecture, suggested exercises, homework questions, theorems and examples either covered in the class, in the homework and in the suggested exercises. The last answer key No.3 for suggested exercises will be made available. There is a review lecture on Friday (June 8th). 70% of the problems are similar to those in the exercises in the lecture, the homework, the suggested exercises, examples and proofs in the text and the lectures.

Point of emphasis:

• Space of linear transformations: L(V,W);
• Normal/Self-adjoint/Diagonalizable operators;
• Eigenvalues, Eigenvectors, and Multiplicity;
• Inner product, Orthogonal complement, Orthogonal and Orthonormal basis;
• Use of Dimension theorem.

Structure of the exam:

• 4 light computational questions (total 120 points). A step by step description of your computation required (for example, row operations).
• True-False questions (200 points total).
• Yes-No questions something like Exercise 9 in 2.1, Exercise 2 in 5.4 and in 6.4, for example, which of the following linear operators is self-adjoint? The 60 degree rotation: No (because no real eigenvalues). Brief justification required. (100 points total)
  
• a proof (requiring reasoning skill; 80 points).

Sample Final:[pdf](No answer key given)

Review Session:

The last class meeting in the quarter will be reserved for review. The answer key to homework/suggested exercises should be useful for you to prepare for the exam.

Extra Office Hours:

Wednesday March 20 from 3:00 pm to 4:30 pm one day before the exam.

Remarks on grading

The full mark is 500 points (50% of the final grade). The scores of two midterm exams (each 200 points), the final exam (500 points) and the sum of your homework scores (80 points) being added, the full mark of the final grade is 980.

Texts and Notes:

• Students are not allowed to open text book and notes from the lectures while taking the exam.
• Students are not allowed to bring 3x5 cards.
• Students are allowed to bring his/her  calculator but are required to describe how matrix computation has been done (not just the outcome of the computation by his/her calculator