# MATH1506 Learning Outcomes

By the end of this course, you should be able to:

1. Construct systems of linear equations and how to solve them, by hand and by using a computational engine, in order to answer questions in various contexts.
2. Geometrically interpret the solutions of systems of linear equations, and how to characterize systems of linear equations with more than one solution.
3. Create polynomial, trigonometric, exponential, logarithmic, and piecewise functions to model abstract and applied phenomena.
4. Use limits to analyze the behaviour of a function for both finite and infinite values.
5. Use limits to find the derivative of polynomial, trigonometric, exponential, and logarithmic functions.
6. Use the rules for finding derivatives of polynomial, trigonometric, exponential, and logarithmic functions, and to interpret the meaning of the value of the derivative.
7. Use derivatives to analyze the properties of a function, including extreme points, regions where the function is increasing and decreasing, and finding the regions of concavity. You will apply these properties to describe the phenomenon a given function is representing.
8. Use derivatives to employ the technique of optimization in a variety of contexts, both abstract and applied.
9. Use derivatives to describe rates of change, solve related rates problems, and approximate functions.