Differential Calculus

Course description *
Mathematics I (ACM-0403)
Credits: 8
Differential Calculus course.

Real numbers (properties, intervals, inequalities)
Functions (variable, domain, graphs, polynomial, rational, irrational, trigonometric, logarithmic)
Limits and continuity (infinite limits and limits to the infinite, asymptote, discontinuity)
Derivatives (geometric interpretation, chain rule, formulas for functions, L'Hopital rule)
Derivatives applications (Tangent line, Lagrange theorem, maximums, minimums, inflection point, optimisation and rates)

Bibliography:
Ayres, F. (1990). Cálculo diferencial e integral (3ª ed.). México: McGraw-Hill.

Full Description (in Spanish **)

Integral Calculus

Course description *
Mathematics II (ACM-0404)
Credits: 8
Integral Calculus course

Calculus fundamental theorem (Sums, Definite integral, primitive function, improper integrals)
Indefinite integral and Integration methods (definition, properties, calculus (straight, variable swap, trigonometric, split, substitution)
Integral applications (Area, curve length, solid of revolution volume)
Series (finite, indefinite, convergence, powers, convergence radius, Taylor series)

Bibliography:
Ayres, F. (1990). Cálculo diferencial e integral (3ª ed.). México: McGraw-Hill.

Full Description (in Spanish **)

Full course map

* Extracted from the document in English I got certified at my school.
** As for the full description, my school doesn't make the course descriptions publicly available, but since it is part of the National System of Technological Education, you can see the full description in Spanish from another campus of the system.