Heat is definitely not matter. However, the question of whether light is matter has been found throughout history as a problem - independent experiments have proven that light can be both a particle (called a photon), and an electromagnetic wave. This is a basic principle of quantum physics, called particle-wave duality.
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Five things that aren't matter are: sound, light, heat, gravity, and speed. Five things that are matter are air, water, foods, pencils, and paper.
Density (:
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Mathematics is the abstract science of number, quantity, and space. Mathematics may be studied in its own right (pure mathematics), or as it is applied to other disciplines such as physics and engineering (applied mathematics). Physics is the branch of science concerned with the nature and properties of matter and energy. The subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms.