| • Elementary logic. Sets, relations, functions. Transformations on graphics. Compositions of functions; inverse functions.
• Limits and continuity. Calculus of limits. Discontinuities. Asymptotic. Sequences. Landau symbols. Basic results on limits and on global properties of continuous functions.
• Derivatives and derivation rules. Second derivatives and convexity. Differential calculus results (Fermat, Rolle, Lagrange, Cauchy, De L’Hopital Theorems). Taylor approximations.
• Primitives and definite integrals. Integration rules. Improper integrals.
symbols. Basic results on limits and on global properties of continuous functions.Derivatives and derivation rules. Second derivatives and convexity. Differential calculus results (Fermat, Rolle, Lagrange, Cauchy, De L’Hopital Theorems). Taylor approximations.Primitives and definite integrals. Integration rules. Improper integrals. |
| • Advanced Engineering Mathematics, A Jeffrey; Harcourt/Academic Press; 2002;
• H Anton; Elementary Linear Algebra, Wiley; 1991;
• R. Bartle & D. Sherbert, Introduction to Real Analysis, Wiley, 1982;
• R. Haggerty, Fundamentals of Mathematical Analysis, Addison-Wesley, 1992;
• Linear Algebra: S Lipschutz, McGraw-Hill
• Dolciani, M. et al : Introductory Analysis , Houghton Mifflin , Boston , 1991.
• Fouad Rajab: Differential and integral, knowledge house (Dar Al Maarfa), Al Cairo, 1972.
• Sadek Bshara: Differential and integral calculus, Agency of Modern Publishing, Alexandrina Egypt 1962.
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