Week - 1 |
Real numbers and the real line, Cartesian coordinates in the plane |
Week - 2 |
Graphs of quadratic equations, Functions and their graphs |
Week - 3 |
Combining functions to make new functions, The trigonometric functions |
Week - 4 |
Examples of Velocity, growth rate and area, Limits of functions |
Week - 5 |
Limits at infinity and infinite limits, Continuity |
Week - 6 |
Tangent lines and their slopes, The derivative |
Week - 7 |
Differentiation rules |
Week - 8 |
The chain rule, Derivatives of trigonometric functions |
Week - 9 |
The mean-value theorem, Higher-order derivatives |
Week - 10 |
Implicit differentiation, Inverse functions |
Week - 11 |
Exponential and logarithmic functions, The natural logarithm and exponential |
Week - 12 |
Growth and decay, The inverse trigonometric functions |
Week - 13 |
Hyperbolic functions, Complex numbers, Graphical representation of complex numbers |
Week - 14 |
Complex arithmetic, Roots of complex numbers |