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Course Content

Analytic geometry on plane and in space. Conical sections. Equations of straight line in R3. Plane equation. 2nd degree surfaces. Matrices. Quadratic forms and their applications in symmetry operations. Geometrical applications of definite integrals: plane areas by integration, volume of solid by rotation of a curve, arc length, plane area by rotation. Differential equations. Graph theory. Application on optimization problems. Euler and Hamilton graphs. Plane graphs. Euler’s equation. The 5 and 4 colours theorem. Drawing with graphs.