MATH 1015 Syllabus

Subject Code

MATH

Course Number

1015

Course Title

Geometry and Trigonometry

Prerequisites

MATH 1013 with a grade of C or higher

Corequisites

Terms Offered

Credit Hours

Course Description

This course emphasizes basic geometric and trigonometric concepts. Topics include measurement conversion, geometric terminology and measurements, and trigonometric terminology and functions.

Course Outcomes

Geometric Concepts

• Convert units of measurement within and between the English and metric systems.
• Identify the terminology associated with points, lines, planes, and angles.
• Define angle measure in terms of degrees and radians.
• Convert from one type of angular measurement to the other.
• Compute arc length.
• Use the concepts of similarity and congruence to find measures of angles.
• Determine missing sides or angles using similar triangles.
• Use the Pythagorean Theorem to solve for missing side of a right triangle.
• Find the area and perimeter (circumference) of rectangles, squares, triangles, trapezoids, circles, and all regular polygons.
• Find the volume and surface area of rectangular solids, right circular cylinders, cones, and spheres.

Trigonometric Concepts

• Define the trigonometric functions of angles in a right triangle in terms of the sides.
• Evaluate trigonometric functions using calculators or tables.
• Solve for unknown sides of a right triangle using the trigonometric functions.
• Solve for unknown angels in a right triangle using inverse trigonometric functions.
• Solve applied right triangle problems using trigonometric functions.
• Use the laws of sines and cosines to solve for sides or angles in oblique triangles.
• Solve applied problems involving oblique triangles by using the laws of sines and cosines.
• Define vector notation and represent vectors graphically. ((Optional).
• Add and subtract vectors. (Optional).
• Solve applied problems involving vectors. (Optional).