| Weeks | Topics |
| 1 |
Analytical plane, point, vector definitions, operations on vectors, parallel and perpendicularity on vectors
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| 2 |
Linear independence and span in R^2 space, the concept of basis, expression of a vector in terms of basis vectors
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| 3 |
Equations of a line in a plane, Slope, parallelism and perpendicularity in lines, Distance of a point or parallel line to a line
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| 4 |
Drawing curve graphs in the plane, drawing curves in polar coordinates
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| 5 |
Drawing of curves with given parametric equations, parametric representations and drawings of epi and hypo cycloid curves
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| 6 |
Analytical examination of the circle, the relative positions of the circle and the line, the equation of the tangent
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| 7 |
Analytical examination of the ellipse, the relative positions of the ellipse and the line, the equation of the tangent drawn from a point on it
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| 8 |
midterm exam
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| 9 |
Circles, eccentricities, and directrixes of an ellipse
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| 10 |
Analytical examination of hyperbola, equation of tangent drawn from a point on it, eccentricity and directrix of hyperbola
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| 11 |
Analytical analysis of parabola, equation of tangent and normal
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| 12 |
Translation and rotation of points and axes in the plane
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| 13 |
Translation and rotation of conics
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| 14 |
Type determination and graphing of quadratic equations using translation and rotation transformations.
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