Course Overview
A distance education course in plane analytic geometry. Topics include the straight line, parabola, circle ellipse, hyperbola and polar coordinates. Translation of axes and second-degree equations are included.
Prerequisite(s)
- Math 12 Pre-Calculus or equivalent OR BCIT MATH 0001.
Credits
1.5
- Retired
- This course has been retired and is no longer offered. Find other Flexible Learning courses that may interest you.
Learning Outcomes
Upon successful completion, the student will be able to:
Module 1 - Basic Definitions
- Compute the distance between two points in a plane.
- Determine the slope of the line segment joining two points in a plane.
- Determine the slope of a line:
- Perpendicular, and
- Parallel to a given line.
Module 2 -- The Straight Line
- Determine the equation of the straight line using the slope-intercept and point-slope forms.
Module 3 -- The Circle
- Identify whether an equation is the equation of a circle.
- Write the equation of a circle in the centre-radius form.
Module 4 --The Parabola
- Identify whether an equation is the equation of a parabola.
- Formulate the equation of a parabola satisfying given conditions.
- Identify the coordinates of the focus and the equation of the directrix from the equation of the parabola.
Module 5 -- The Ellipse
- Formulate the equation of the ellipse satisfying certain conditions.
- Determine the coordinates of the vertices and the foci given the equation of the ellipse.
- Identify an equation as that of an ellipse.
Module 6 -- The Hyperbola
- Determine the coordinates of the vertices and foci of a given hyperbola.
- Formulate the equation of the hyperbola satisfying certain conditions.
- Identify an equation as that of a hyperbola.
Module 7 --Translation of Axes
- Transform an equation by translating the axes to a new origin.
- Formulate the equation of the parabola, ellipse and hyperbola when the centre of the curve is not at the origin of the coordinates.
Module 8 -- The General Second Degree Equation
- Given a second degree equation, identify the conic section it represents.
Module 9 -- Polar Coordinates
- Translate from rectangular to polar coordinates and vice versa.
Module 10 -- Curves in Polar Coordinates
- Graph a function given its polar equation.
Effective as of Fall 2003
Programs and courses are subject to change without notice. Find out more about BCIT course cancellations.