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Introduction to differential and integral calculus. |
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Analytic geometry on the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities. |
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Introduction to differential and integral calculus. |
- 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.
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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. |