The final exam will be comprehensive, with emphasis on Chapters 9 through 16. The exam will test your mastery of the learning outcomes of the course, namely whether you can
To prepare for the final exam, I suggest you do the following:
Since this is the beginning of exams week, there won't be any quiz. However, it is strongly recommended that you to read Chapter 16, answer the discussion prompts, and do the following homework problems.
You should continue discussing the above problems and reading prompts with your partner(s). As explained in class, the emphasis is not on topology per se but on consolidating your ability to understand new definitions and use them in proofs, in a context that is new to you.
Read Section 13.1 and Chapters 14 and 15 of the book. In preparation for the final exam, consider this as a review of the material we already discussed in class. Then do the following homework problems.
The quiz will be on any of the homework problems (listed above) assigned for Chapters 13, 14, and 15.
You should have read Chapter 12 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems (please recall that in the book, if f ∶ A → B , then A may be a bigger set than Domain(f ))
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 12.
You should have read Chapter 11 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems (please recall that in the book, if f ∶ A → B , then A may be a bigger set than Domain(f ))
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 11.
There are no reading prompts for Chapter 10, but you should still read that section of the book.
Homework Problems
The quiz will be on any of the homework problems (listed above) assigned for Chapter 10.
You should have read Chapter 9 of the book, written written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework Problems
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 9.
You should have read Chapter 8 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 8.
The test will focus on Chapters 5 through 8, but some questions will use knowledge of the material discussed in Chapters 1 trough 4. The following learning outcomes will be tested.
You should have read Chapter 7 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Sections 7.1 & 7.2 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 7.
You should have received from your partner their comments on your homework solutions (for the 4 problems assigned below).
Complete solutions (answers, feedback, and revisions) to the following (previously assigned) homework problems, written in a clear, concise, and to the point fashion.
You should include enough details for a reader to follow and understand your proofs. But there is no need to justify every step. For instance:
The quiz will be on any of the following (previously assigned) homework problems:
You should have read Chapter 6 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Sections 6.1 & 6.2 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 6.
You should have read Chapter 5 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Section 5.2 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 5.
You should have read Sections 4.1 through 4.3 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Sections 4.1, 4.2 & 4.3 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 4.
The test will cover Chapters 1 through 4 of the textbook.
You should have read Section 3.1 of the book, written down your answers to the corresponding discussion prompts, and shared your comments with your partner.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Sections 2.3 & 3.1 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 3.
Read Sections 4.1 through 4.3 of the book, write down your answers to the corresponding discussion prompts, and bring them to class.
Read Section 2.3 of the book, write down your answers to the corresponding discussion prompts, and bring them to class.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Sections 2.1 & 2.2 (answers, feedback, and revisions). Your work on Section 2.3 will be collected the following week.
The quiz will be on any of the discussion prompts or homework problems (listed above) assigned for Chapter 2.
Read Section 3.1 of the book, write down your answers to the corresponding discussion prompts, and bring them to class.
Homework problems
Your homework should be typed or nicely written, and enough explanations should be included for the reader to clearly follow your reasoning.
We will also collect your work on the discussion prompts for Chapter 1 (answers, feedback, and revisions).
The quiz will be on any of the discussion prompts or homework problems assigned for Chapter 1.
Read Sections 2.1 and 2.2 of the book, write down your answers to the corresponding discussion prompts, and bring them to class.
Read Section 1.1, write down your answers to the corresponding discussion prompts, and bring them to class.
Read Section 1.2, write down your answers to the corresponding discussion prompts, and bring them to class.