**Assignment 1**The first (and last) assignment of the GTA training program will be to deliver a mock lecture on a topic that is typically taught in a zero level course. Being able to effectively lecture to students who have a significant level of discomfort with mathematics is one of the most difficult challenges for anyone teaching a lower-level course. Below are listed some of the learning objectives from three commonly taught zero-level courses.

Some learning objectives for Math 017, 022, and 026 (taken from here).

- Determine the number of subsets of a given set
- Use Venn Diagrams to evaluate sets and solve counting problems
- Calculate probabilities of events
- Use Venn Diagrams to determine probabilities
- Determine conditional probabilities
- Use counting principles: multiplication rule, permutations, and combinations, to solve real life problems
- Recognize binomial probability experiments and calculate resulting probabilities
- Determine expected value
- Solve absolute value equations and inequalities
- Solve polynomial and rational inequalities
- Determine the domain of a function given an equation
- Understand piecewise functions
- Transform basic graphs using horizontal shifts, shrinks and compressions, reflections, and vertical shifts, and combinations of transformations
- Add, subtract, multiply, divide, and compose functions and find the resulting domains
- Understand the definition of a one-to-one functions and apply it to finding inverse functions
- Sketch graphs of polynomial and rational functions
- Understand characteristics of exponential and logarithmic functions
- Solve exponential and logarithmic equations
- Evaluate trigonometric functions using the unit circle
- Use the domain and period to evaluate sine and cosine functions
- Recognize and write the fundamental trigonometric identities
- Use angles and trigonometric functions to model and solve real-life problems
- Sketch graphs of basic trigonometric functions
- Identify the domain of inverse trigonometric functions
- Evaluate inverse trigonometric functions
- Evaluate compositions involving inverse trigonometric functions
- Sketch graphs of inverse trigonometric functions
- Use the Law of Sines and Cosines

This assignment has two parts. First, you will prepare and deliver a fifteen-minute lecture covering any one of the learning objectives listed above. Your lecture must contain the following:

- An explanation of the topic
- An example illustrating the main idea
- A challenging homework problem

Second, you will write and submit a personal reflection about the experience (around 200 words). In particular, you must answer the following:

- What did you learn from this assignment?
- What would you do differently?