Syllabus Mathematics
Recommended Books: Nicholson. W.K., Elementary Linear Algebra with Applications, Ed. 2, Prentice Hall, Englewood, USA. Herstein, I.N., Topics in Algebra, John Wiley and Sons (New York) 1964. Rowen, L., Rings (I & II). Academic Press, Ins. Dar, K.H., First Step to Abstract Algebra, Feroz Sons Publishers, Lahore (1996). Yusuf, S.M., Majeed A., Amin. M., Mathematical…
Paper I Total Marks: 100 Recommended Books: Anton, H, Calculus: A New Horizon, Ed. 6, John Willey, New York, 1999. Thomas, G. B. Finney. A. R., Calculus, Ed. 9, John Willey, New York, 2005. Yusuf, S.M. Amin. M., Calculus with Analytic Geometry, Ilmi Kitab Khana, Lahore. Zill, D. G. , Cullen, M.R., Differential Equations with…
Paper II Total Marks: 100 Section A Groups: Definition and examples of Groups, Order of a Group, Order of an element of a Group, Abelian and non-Abelian Groups and Cyclic groups. Lagrange theorem and applications, Normal subgroups, Characteristic Subgroups of a group, Normalizer in a group, Centralizer in a group. Fundamental Theorem of Homomorphism, Isomorphism…
Paper I Total Marks: 100 Candidates will be asked to attempt three questions from Section A and two questions from section B. Section A Limits, Continuity, Differentiability and its Applications, General theorems (Rolle’s Theorem, Mean value theorem), Asymptotes, Applications of Maxima and Minima. Definite and Indefinite integrals and their Application, Quadrature, Rectification, Numerical methods of…