A wireless sensor network (WSN) consists of spatially distributed autonomous sensors to cooperatively monitor physical or environmental conditions, such as temperature, sound, vibration, pressure, motion or pollutants. Its a platform for a broad range of applications related to Security, surveillance, military, health care, environmental monitoring etc.WSN consists of large number of small size sensors which they can sense the environment and communicate with Each other and processing the sensing datas.Because of the deployment nature of the wireless Sensor network once it deployed we can't recharge the battery, so energy conservation is one of the important factor in QOS of WSN.Under this constraint maintaining good coverage and connectivity is so important factor of designing WSN.In this paper we survey about applications and basics about WSN, coverage and Connectivity issues, Existing algorithms proposed for coverage and connectivity, and their strength and weakness.

Index terms: Coverage, connectivity, Wireless sensor network, survey