A heating system for an automotive passenger cabin includes a blower fan generating an air flow; a first heater core downstream of the blower fan; a second heater core downstream of the first heater core; a coolant loop with a first branch and a second branch, wherein the first heater core is disposed in the first branch and the second heater core is disposed in the second branch; a change-over valve arrangement having a first setting establishing fluid communication between the first and second heater cores by connecting the first and second branches in two locations on opposite sides of the first and second heater cores. The change-over valve arrangement has a second setting separating the fluid communication between the first and second heater cores by disconnecting the first and second branches. The second branch or both the first and the second branch are connectable to a PCM heater.