## Outline
Virtually everybody is capable of becoming a competent and skillful instructor, but virtually nobody would do well if made to teach a course without preparation or forethought about effective teaching practices. Structuring a course, preparing lectures, delivering information, responding to questions, assigning homework, dealing with problem students, and so on are all areas where a little consideration of certain guidelines can vastly improve a teacher's performance. Much of what comprises excellent teaching is quite different from individual to individual; most of what comprises bad teaching, on the other hand, is universal yet easily avoided with some experience.
- Attendance
- Participation in discussions and class activities
- Completion of teaching presentations
Students will give two presentations during the semester, one of length 15 minutes and one of length 40 minutes. The first, short presentation will be to critique the students' mechanics and classroom presence, while the long presentations will be to critique their organization of material into a beneficial lecture. Students will teach typical topics from first-year calculus as if the audience were actually a first-year calculus class, after which they will receive feedback from the rest of the class and the instructor.
## AnnouncementsThe schedule for the semester is as follows: - I.
**Preparation for short presentations** - Wednesday, September 5: Overview of course
- Friday, September 7: Description and scheduling of short presentations
- Monday, September 10: Example lecture and discussion
- Wednesday, September 12: Blackboard technique
- II.
**Short presentations** - III.
**Preparation for long presentations** - Wednesday, October 10: Lecture design and modularity
- Friday, October 12: In-class group activity, practice lecture design
- Monday, October 15: Description and scheduling of long presentations
- Wednesday, October 17: Feedback and discussion of practice lectures
- Friday, October 19: Asking and receiving student questions and feedback, classroom psychology
- IV.
**Long presentations**#### Short presentationsEach short presentation will last 15 minutes, either from 12:00-12:15 or 12:25-12:40 PM. Students should imagine that they are giving a full lecture on the indicated topic and then deliver a 15-minute-long portion (typically the first 15 minutes) of what the full lecture would be; in short, there should be no pressure on completely covering the given topic. Students should also think about where their topic would fall in a typical (non-honours) first-year calculus curriculum, although any reasonable assumptions in this vein are acceptable and need not be made explicit. The schedule for the short (15-minute) presentations will be: **Friday, September 14**- Bruno: Logarithms in calculus
- Amir: Asymptotes
**Monday, September 17**- Michele: First Derivative Test for local extrema
- Andrew: Integration by parts
**Wednesday, September 19**- Keira: Seperable differential equations
- Ryan: The area between curves
**Friday, September 21**- Jenn: Integration by substitution
**Monday, September 24**- Frank: The Chain Rule
- Patrick: Improper integrals
**Wednesday, September 26**- Evgeniy: Continuity
- Dennis: Critical points
**Monday, October 1**- Maria: Trigonometric functions in calculus
- Jun: The Quotient Rule
**Wednesday, October 3**- David: l'Hôpital's Rule
- Alex: The Product Rule
**Friday, October 5**- Jun Ho: The Intermediate Value Theorem
- Erick: Second Derivative Test for local extrema
**Monday, October 22**- Frank: The slope of a graph
**Wednesday, October 24**- Jun Ho: Improper integrals
**Friday, October 26**- Jun: Finding all zeros of functions (bounding zeros, Newton's method)
**Monday, October 29**- Maria: Second Derivative Test for local extrema
**Wednesday, October 31**- Alex: Continuity
**Friday, November 2**- Erick: Logarithms in calculus
**Monday, November 5**- Bruno: l'Hôpital's Rule
**Wednesday, November 7**- Patrick: The Fundamental Theorem of Calculus
**Friday, November 9**- Amir: Integration by substitution
**Wednesday, November 14**- Jenn: The Intermediate Value Theorem
**Friday, November 16**- Michele: Critical points
**Monday, November 19**- Ryan: The Mean Value Theorem
**Wednesday, November 21**- Dennis: Seperable differential equations
**Friday, November 23**- Keira: Trigonometric functions in calculus (including inverse functions)
**Monday, November 26**- David: Asymptotes
**Wednesday, November 28**- Evgeniy: First Derivative Test for local extrema
**Friday, November 30**- Andrew: One-variable optimization problems
## Long presentationsThe schedule for the long (40-minute) presentations will be: Each student can skip one day per week, according to the following schedule:
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