Math 300

Fall 2025

Study Suggestions
and
Details
for
Exam 2



  1. Exam 2 is scheduled for (usual class room and time)
    Thursday November 20.
    The exam will cover concepts from the lectures, handouts, textbook, and progess checks (e.g. homework, groupwork):
    Chapter 3 (§3.1-3.7).
    Beware, given the nature of the material, you still need to know Chapter 1 (§1.1-1.3) and Chapter 2 (§2.1-2.5).
    The exam is closed notes and closed book.
  2. During the exam, electronic devices (e.g.: cell phones, earbuds, smart watches) are to be turned off (if possible) and stored in a closed (e.g.: zipped, buttoned) bag (e.g.: backpack, purse). Electronic devices may not be stored in personal clothing (e.g., jacket pocket). If needed, store your electronic device(s) on the front desk during the exam. At the request of a student, I will project a clock onto the overhead screen.
  3. During the exam: you must put your bags (e.g. backpacks) completely under your desk (so I do not trip over it), calculators are not allowed (nor needed), and hats (which does not include a hijab) may not be worn (except with prior permission, e.g., medical reason).
  4. Read the instructions. The question you should be asing yourself is did I follow the instructions correctly rather than what is the professor asking for. Full credit will be given for correctly answering the question asked, with the needed justification (e.g., if the answer is "Yes", say "Yes because" and then justify your Yes answer). Remember to use complete sentences.
  5. The exam will be a mix of:
    • problems you have, and have not, seen before
    • problems of varies difficulty levels (from easy warm-up problems to challenging problems).
    The exam is a mix of:
    • fill-in-the-blanks/boxes and multiple choice
    • short answer and/or working problems by hand (for which you need to show ALL your work),
    • writing proofs (following the Writing Guidelines).
    The main sources of problems are (either exact or slightly changed)
    • homework (both from Study Guide homework and Exercise homework)
    • examples from class and class group work
    • exercises from the book (that were not assigned, this book has lots of good problems)
    • the book's examples (including the Progress Checks, for which the answers are in the back of the book)
    • inspirations from the above sources
    Think of math as devoloping problem solving skills rather than regurgitating known facts.
  6. The focus of the exam will be proofs.
    The format of proof problems will be similar to Exam 1. Recall Exam 1's easier Sample Proof Problems. Note.
    • The initial parts of a problem often are used in the final part where you actually write your proof.
    • You need to know how to symbolically write a statement (do not forget to quantify).
    • If the proof uses definitions from covered in class, then you need to know the definition.
    • If the proof uses new definitions, then you will be given the definition.
    The Thinking Lands are optional.
  7. You are highly encouraged to discuss and work together on practice problems.
    Our Blackboard discussion thread should help with this. On Bb, look for Discussion on the horizontal menu toward the top.
    • Post a note on BB's discussion thread saying, e.g.: Bob has reserved T-Coop Study Room 123 for this Monday (11/17) for 7-9. Let me know if you want to join.   Here is a link to reserve a TCL Study Room on-line.
    • You can discuss a problem on the thread.
    • Since the problems will not be collected (nor graded), feel free to share both hints and answers on the Exam Discussion.
  8. Work through these Practice Problems (A) - (I), which now includes (H) and (I).
    Give the Practice Problems a honest serious try before looking at the hints/solutions for the Practice Problems.
  9. Work through the Exam 2 Practice Problems posted on the course homework page (see Section 3.6).
    Section 3.6 is a Review of Proof Methods and has wonderful review exercises.
  10. A good way to study for this exam.
    • Be sure you know all the definitions and results from:
      • class handouts (see the Handouts page)
      • class lectures
      • the book (the Chapter Summaries should help with this).
    • You should have a working knowleague of the Symbolically Write Guidelines as well as the Writing Guidelines.
    • Review your Study Guides homework including the questions you indicated to yourself on them.
    • Review your homework, which includes looking at comments made on your graded homework.
      Learn from your mistakes on the homework so that you do not make the same mistake on the exam.
    • Review the class handouts and book's chapter summaries.
    On the topics you are weak, look through the textbook for similar
    • examples and progess checks
    • exercises (esp. starred ones)
    and work these examples and exercises.
  11. Come to the exam well rested.



Findable from URL:    http://people.math.sc.edu/girardi/w300.html/