Syllabus
1. Basic notions from linear algebra: vectors, the vector space Rn, linear mappings Rn into Rm, matrices, systems of linear equations, determinants.
2. Differential calculus of one real variable: the real numbers, elementary functions, limits and continuity, derivatives, differentials, the mean-value theorem, applications of the derivative, graphing, polynomial approximation and Taylor´s theorem.
3. The integral: antiderivatives, indefinit integrals and integration rules, technique of integration, the definite integral, the fundamental theorem of calculus, applications of the definite integral.
4. Differential equations: basic notions, separable differential equations, linear first-order differential equations, second-order differential equations, some applications.
Annotation
This course will cover basics of the linear algebra and the calculus.