1. Limits and Continuity
o Introduction to functions
o Introduction to limits
o Techniques of funding limits
o Indeterminate forms of limits
o Continuous and discontinuous functions and their applications
2. Differential calculus
o Concept and idea of differentiation
o Geometrical and Physical meaning of derivatives
o Rules of differentiation
o Techniques of differentiation,
o Rates of change.
o Tangents and Normals lines
o Chain rule, implicit differentiation, linear approximation.
3. Applications of differentiation
o Extreme value functions
o Mean value theorems
o Maxima and Minima of a function for single-variable
o Concavity
4. Integral calculus
o Concept and idea of Integration
o Indefinite Integrals
o Techniques of integration
o Riemann sums and Definite Integrals
o Applications of definite integrals
o Improper integral
5. Applications of Integration
o Area under the curve
6. Analytical Geometry
o Straight lines in R3
o Equations for planes
