Science - Science is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
Technology - Technology is the sum of techniques, skills, methods, and processes used in the production of goods or services or in the accomplishment of objectives, such as scientific investigation.
Engineering - the use of scientific principles to design and build machines(eg computers & software), structures, and other items, including bridges, tunnels, roads, vehicles and buildings.
Mathematics - the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.
Branches of Mathematics: Arithmetic, Algebra, Geometry, Trigonometry.
Mathematics includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis).
Topics in Math for CS:
Arithmetic - Number manipulation and properties
Algebra - study of mathematical symbols
Geometry - shape, size, relative position, space
Trigonometry - side lengths and angles of triangles
Calculus & Analysis - limits, continuity, derivatives differentiation, integrals integration
Linear Algebra - Vectors and Matrices
Probability and Statistics - analysis and interpretation of data
Discrete math - Countable, distinct, and separable structures
Data Structures & Algorithms - a process or set of rules to be followed in calculations or other problem-solving operations by a computer.