MAT 202, Structure of Mathematical Systems II

1. Compute simple probabilities using sample spaces. Calculate probabilities involving multistage experiments, conditional probability, and independent events. Calculate odds and mathematical expectation. Solve problems involving permutations and combinations.
2. Plot statistical graphs using frequency tables, including bar and line graphs.
3. Calculate measures of central tendency and variation including mean, median, mode, range, standard deviation, and variance. Solve simple problems involving the normal distribution. Understand the concepts of percentiles and quartiles.
4. Understand basic geometric concepts of points, lines, angles, perpendicularity of lines and planes, and polygons, including triangles, trapezoids, parallelograms, rectangles, squares and rhombi.
5. Understand definitions and theorems involving the following types of angles: supplementary, complementary, adjacent, vertical, alternate interior and exterior, and corresponding angles. Know properties involving angles in polygons.
6. Solve problems in 3-dimensional geometry involving prisms, pyramids, polyhedrals, cylinders, and cones.
7. Perform simple geometric construction problems including angle bisectors and perpendicular bisectors.
8. Know different forms of triangle congruence including SSS, SAS, and ASA and triangle similarity.
9. Know properties of circles and spheres.
10. Know rudiments of translations, reflections, line symmetries, rotations, turn symmetries, point symmetries, and tessellations of the plane.
11. Use and convert the metric system.
12. Calculate areas of polygons and circles.
13. Understand and use the Pythagorean Relationship.
14. Calculate surface areas and volumes of 3-dimensional figures.
15. Know the Cartesian coordinate system, equations of lines, graphing linear inequalities, distance and midpoint formulas, and equations of circles. Be able to Solve 2 X 2 systems of linear equations.

Objectives MAT 202

1. Know the basic geometric concepts of points, lines, angles, and polygons, use theorems involving angles, and know the properties of circles and spheres.
2. In 2-space, perform geometric constructions, calculate areas of polygons and circles, use the Pythagorean Relationship, and identify triangle congruencies. In 3-space, calculate surface areas and volumes of solids.
3. Use and convert the metric system.
4. Compute simple probabilities using permutations and combinations, calculate measures of central tendencies, variations, and normal distribution, and plot statistical data using bar and line graphs.
5. Work in the Cartesian coordinate system, graph linear equations and inequalities, and solve 2 X 2 linear systems of equations.