Week - 1 |
Real numbers and real line, intervals, the absolute value, equations and inequalities involving absolute values, Cartesian coordinates in the plane, the distance between two points, graphs |
Week - 2 |
Coordination system in the plane, equations of lines, equations of circles and conics |
Week - 3 |
Functions and their graphs, even and odd functions, symmetry and reflections |
Week - 4 |
Operations of Functions (sums, differences, products, quotients and multiples by a scalar of functions), composite functions, piecewise defined functions |
Week - 5 |
The frigonometric functions |
Week - 6 |
Limitation, continuity and derivative |
Week - 7 |
Limitation, continuity and derivative |
Week - 8 |
The derivative |
Week - 9 |
Derivatives of trigonometric functions |
Week - 10 |
The mean-value theorem, increasing and decreasing functions, approximating small changes |
Week - 11 |
Higher-order derivatives, implicit differentiation |
Week - 12 |
Inverse functions, exponential and logaritmic functions |
Week - 13 |
Applications of derivative |
Week - 14 |
Complex numbers |