|
Week - 1 |
Basic Concepts: Real numbers and the real axis, Cartesian coordinates in the plane, Graphs of quadratic equations. |
|
Week - 2 |
Functions and their graphs, Combining functions to make a new functions, Polinomials and rasyonel fonksiyonlar, Trigonometric functions |
|
Week - 3 |
Limtis of functions, Limits at infinity and infinite limits, Continuity |
|
Week - 4 |
Derivative: Tangent lines and their slopes, Differentiation rules, The chain rule |
|
Week - 5 |
Derivative of trigonometric functions, Higher order derivatives |
|
Week - 6 |
Mean value theorem, Increasing and decreasing functions |
|
Week - 7 |
Implicit differentiation, Inverse functions |
|
Week - 8 |
Exponential and logaritmik fonksiyonlar, Natural logarithm and exponential |
|
Week - 9 |
Growth and decay, Inverse trigonometrik functions |
|
Week - 10 |
Hyperbolic functions, Inverse hyperbolic functions, Indeterminate forms |
|
Week - 11 |
Extreme values (extremal values of functions), Concavity and inflections |
|
Week - 12 |
Applications of Derivative: Sketching the graph of a function |
|
Week - 13 |
Extremum value problems |
|
Week - 14 |
Taylor polynomials |