MAT1214

Topics List

Topic	Pre-requisite	Objective	Examples
The Limit of a Function	Evaluation of a function including the absolute value, rational, and piecewise functions Domain and Range of a Function	Describe the limit of a function using correct notation. Use a table of values to estimate the limit of a function or to identify when the limit does not exist. Use a graph to estimate the limit of a function or to identify when the limit does not exist. Define one-sided limits and provide examples. Explain the relationship between one-sided and two-sided limits. Describe an infinite limit using correct notation. Define a vertical asymptote.	Edit soon
The Limit Laws	Simplifying algebraic expressions. Factoring polynomials Identifying conjugate radical expressions. Evaluating expressions at a value. Simplifying complex rational expressions by obtaining common denominators. Evaluating piecewise functions. The trigonometric functions and right triangle trigonometry.	Recognize the basic limit laws. Use the limit laws to evaluate the limit of a function. Evaluate the limit of a function by factoring. Use the limit laws to evaluate the limit of a polynomial or rational function. Evaluate the limit of a function by factoring or by using conjugates. Evaluate the limit of a function by using the squeeze theorem. Evaluate left, right, and two sided limits of piecewise defined functions. Evaluate limits of the form K/0, K≠0. Establish and use this to evaluate other limits involving trigonometric functions.	edit soon
Continuity