Studies relations, functions and their graphs; polynomial, rational. exponential logarithmic and trigonometric functions; analytic trigonometry; systems of equations and inequalities, conics, mathematical induction; sequences and series.

Upon completion of this course, the student should be able to do the following:

1. solve polynomial, radical and rational equations.
2. solve absolute value and quadratic inequalities.
3. identify functions and find inverse functions.
4. graph, find slopes and equations of linear functions and use them in models.
5. sketch the graphs of basic functions and transformations of them.
6. graph polynomial, exponential and logarithmic functions and use them in models.
7. solve systems of equations and inequalities (not necessarily linear).
8. work with similar triangles.
9. solve problems using the distance formula and the pythagorean theorem.
10. compute trig functions of special angles and use them to solve for the unknown part(s) of right triangles.
11. use the laws of sines and cosines to solve for unknown parts of triangles.
12. compute vector sums and differences.
13. solve trig identities and equations.
14. graph trig functions.
15. compute the values of inverse trig functions.
16. graph in polar coordinates.
17. use DeMoivre's theorem to find powers and roots of complex numbers.

Some of the following optional objectives should also be included:

1. add, subtract, and multiply matrices.

Some of the following optional objectives should also be included:

1. use matrices to solve systems of linear.

Some of the following optional objectives should also be included:

1. find equations or graphs of conic sections.

Some of the following optional objectives should also be included:

1. complete proofs using mathematical induction.

General Education Mission: This course addresses the fourth bullet under goal 1 in the college mission, "Provide instruction that contributes to a student's...abilities to...think critically and solve problems; to reason mathematically and apply computational skills."

Math 128 satisfies the general education requirement for any degree or certificate and
addresses the mission of and the following student learning outcomes of General Education.

1) can use appropriate college-level mathematical skills.

2) have problem solving, creative and critical thinking skills.

Program Mission for AA/AS degree: Math 128 addresses the missions of and the following student learning outcomes of the A.A. and A.S. degrees.

1) know the subject matter appropriate to the emphasis of the degree.

2) can succeed at their transfer institutions.

Program Mission for AGS degree: Math 128 addresses the missions of and the following student learning outcomes of the A.G.S. degree.

know the subject matter appropriate to their fields of study.