Math 122 Entrance Survey (Spring 2016) Question Title * 1. What is your major (or intended major, if known)? Question Title * 2. What is your year? Year 1 / Freshman Year 2 / Sophomore Year 3 / Junior Year 4 / Senior or above Not an undergraduate student Question Title * 3. Do you know what you would like to do with your undergraduate degree? Are you interested in pursuing graduate school in mathematics? Graduate school in another discipline? A job in finance or industry? A professional degree? Something else? Question Title * 4. What other undergrad math classes have you taken or are you currently taking? What did you think of the material, the pace and difficulty level? Other comments? Question Title * 5. What was your favourite topic / result / example from Math 120? Question Title * 6. What are your reasons for taking Math 122? What do you hope to get out of this course? Question Title * 7. Which of the following concepts are you familiar with? (I do not expect students to know these concepts already). Basic theory of R-modules Field of fractions of a ring Universal properties; using universal properties to define mathematical objects Exact sequence Tensor product (of vector spaces) Tensor product (of R-modules) Theory of eigenvalues and eigenspaces of linear maps (on finite-dim vector spaces) The dual of a (finite dim) vector space Characteristic polynomial of a linear map (on finite-dim vector spaces) Minimal polynomial of a linear map (on finite-dim vector spaces) Theory of generalized eigenspaces of linear maps (on finite-dim vector spaces) The Jordan Canonical Form of a linear map (on a finite-dim vector space) The Rational Canonical Form of a linear map (on a finite-dim vector space) The Fundmental Theorem for Finitely Generated Abelian Groups Representation of a group Character of a group representation Question Title * 8. (Optional) Comments, or space to elaborate on a previous answer: Done