Course Code: MATH-303
Credit Hours: 3+0
Objectives of the course:
The course provides a foundation to solve partial differential equations with special
emphasis on wave, heat and laplace equations. Formulation and some theory of these
equations are also intended.
Space Curves: Arc length, Tangent, Normal and Binormal, Curvature and Torsion of
a Curve, Tangent Surface, Spherical Indicatrix, Involutes and Evolutes, Envelopes,
Existence Theorem for a Space Curve, Helices, Curves on Surfaces, Surfaces of
Revolution, Helicoids, Families of Curves, Developable associated with Space
Curves, Developable associated with Curves on Surfaces, The First and Second
Fundamental form, Principle Curvatures, Lines of Curvature, Geodesics.
1- Millman R.S. and Parker G.D.,1997. Elements of Differential Geometry. 2nd ed.
2- Wilmore T.J.,1959. An Introduction to Differential Geometry. 1st ed. Oxford
3- Weatherburn C.E., 1961. Differential Geometry. 1st ed. Cambridge University
4- Pressley A., 2001. Elementary Differential Geometry, 1st ed. Springer Verlag.
5- Somasundaran D., 2005. Differential Geometry. 1st ed. New Delhi: Narosa
Mid exam: 30
Final exam: 50
RULES AND REGULATIONS
75% attendance is compulsory to appear in Final Term exam.