This unit is concerned with the collection , organization presentation , analysis and interpretation of data with emphasis on Descriptive Statistics. The general aim of this unit is to provide the student with the basic foundation and understanding in Statistics and Probability.
This unit deals with the fundamental concepts of mathematics that attempts to integrate Advance Mathematics and General Mathematics topics in secondary schools in Papua New Guinea.The content ranges from basic , but not overly simple exercises which develop basic techniques and concepts to solve problems of considerable difficulty and of comparable interest.the unit covers topics ranging from numbers and integers, factorizing algebraic expressions , laws of indices and logarithms,quadratic equations,linear equations,series AND SEQUENCES AND MATRICES AND DETERMINANTS, GEOMETRY,trigonometry and basic calculus
This unit introduces the basic concepts, techniques and laws governing the differentiation of different functions of polynomials, trigonometric, exponentials, logarithmic and implicit functions. The concepts on limits and continuity will be introduced. The core component of the unit is the application part of the techniques or the rules of differentiation. Typical applications include finding maximum and minimum values of functions in order to solve practical problems. It is expected that the learner has a thorough understanding of concepts on Algebra, Trigonometry and Analytic Geometry.
The unit course will provide students with analytic geometry or coordinate geometry. Emphasis will be placed on students achieving an understanding of the basic concepts, properties and relationships of Algebra, Trigonometry and Geometry. The students should be made aware of the procedures considered so they can think critically about suitable procedures for solving problems involving Algebra and Geometry. Students will gain confidence in learning the topics outlines with more practical and application exercises.
This unit course involves the process of Integration, it uses and the many applications including finding volumes, areas, equations of curves, solutions of differential equations. The unit highlights the concepts and techniques of indefinite integral (anti-derivative) and definite integrals. The applications of basic rules, properties and relationships involving integration of polynomial functions, exponential and logarithmic functions and trigonometric functions will be the core of the unit. Instead of the formal definitions, theorems and proofs, the method shall include intuitive discussions, rules of procedure and realistic solutions to problems. Worked examples will be the core of the including integrating by substitution and by parts.
- Teacher: Fatsy R Alipio, REE