MAT 187H - Pre-Calculus Honors

1. recognize, analyze, solve, and discern information from different types of functions and equations: linear, quadratic, rational, absolute value, polynomial, radical, exponential, logarithmic, trigonometric, inverse trigonometric;
2. evaluate the difference quotient for a variety of functions;
3. perform algebra on functions such as composition, operations, and inverses;
4. decompose partial fractions;
5. graph quadratic, polynomial, rational, exponential, logarithmic, and trigonometric equations and functions emphasizing the use of technology;
6. utilize the six basic trig functions in right triangle and unit circle;
7. solve right and oblique triangles;
8. prove trigonometric identities and equations through use of various methods;
9. solve trigonometric equations;
10. operations on vectors including addition, subtraction, scalar multiplication, dot product from graphical and algebraic perspectives;
11. construct parametric equations for basic functions along with circles;
12. solve application situations related to methods presented in this course;
13. construct functional models to fit given data, graphs, or applied physical situations, and predict and interpret results from these models;
14. engage the community in the context of an extra-curricular experience of at least two hours and typically not exceeding ten hours, specified by the instructor, such as a service learning project, attending a relevant academic lecture or workshop, engaging in an internship, or visiting a local museum.