math121

# math121 - Course webpage for Math 121 Please let me know if...

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Course webpage for Math 121 Please let me know if any of the links fail to work, or if you spot any errors, or if anything is unclear. Final The final exam will be on Thursday 20th May at 2.15pm in Harvard 103. You are responsible for all material covered in class, except for any material which was specifically described as non-examinable. In addition, you are responsible for any reading that you needed to do to do any of your homework, plus the following material from the textbook: Sections 1.1-1.6 (vector spaces, subspaces, linear combinations, linear independence, bases, dimension). You do not need to know how to prove that every infinite dimensional vector space has a basis. Sections 2.1-2.7 (linear transformations, null space, range, matrices, invertibility and isomorphisms, change-of-basis, dual spaces, applications to differential equations). You do not need to know about the duals of infinite-dimensional vector spaces. Material from Chapter 3 as described in this email . Section 4.4 (but you don't need to know how to prove any of these properties of determinants). Sections 5.1, 5.2 and 5.4 (eigenvalues, eigenvectors, diagonalizability, invariant subspaces, the Cayley-Hamilton theorem). Sections 7.1 and 7.2 (Jordan canonical form). You do not need to know anything about "dot diagrams". Sections 6.1 to 6.4 omitting pages 370-372, section 6.5 as far as the end of p383, and section 6.7 omitting the material on Polar Decomposition (inner product spaces, Gram-Schmidt, orthogonal complements, adjoints, self-adjoint operators and their diagonalizability, Singular Value Decomposition and pseudoinverse). You should expect roughly half the exam to cover material that was assessed on the midterms, and half the exam to concentrate on the material that we covered since the second midterm. A sample final is available here . The solution is here . The sample second midterm is available

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math121 - Course webpage for Math 121 Please let me know if...

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