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Computation

Page history last edited by David Young 9 years, 3 months ago

Mathematics is central to science.  Depending on the science classes you take the math involved can be straightforward or quite complex (for example in a Physics class).  The math skills you learn each year in math class build on previous years of study.  It really is the basics that are most important

 

These include

knowing the meaning of common symbols used in math

making calculations involving addition, subtraction, multiplication and division.  Know the order of operations.

working with fractions, ratios, and percentages

evaluating reciprocals, roots and exponents

 

algebra

manipulation of variables in equations

substitution and solving

 

SI units (Le Systeme International d’Unites) – or more commonly called the metric system – was adopted for scientific research in 1960 worldwide, and is used as general measurement in most countries (USA excepted).

 

Arithmetic and Computation

  • Make calculations involving addition, subtraction, multiplication and division.
  • Recognize and use expressions in decimal and standard form (scientific notation).  Make calculations involving numbers in scientific notation.
  • Use calculators to evaluate exponents; reciprocals; roots; logarithms to base 10; logarithms to base e; powers; arithmetic means; degrees; radians; quadratic equations; natural sine, cosine and tangent functions and their inverse.
  • Express fractions as percentages and vice versa.

 

Algebra

  • Change the subject of an equation by manipulation of the terms including integer and fractional indices and square roots.
  • Solve simple algebraic equations, and simultaneous linear equations involving two variables.
  • Substitute numerical values into algebraic equations.
  • Comprehend the meanings of (and use) the symbols /, <, >, ≤, ≥, ±, ≈, ∆x, µ, ½x½.

 

Geometry and Trigonometry

  • Calculate areas of right-angled and isosceles triangles, circumferences and areas of circles, volumes of rectangular blocks, cylinders and spheres, and surface areas of rectangular blocks, cylinders and spheres. Relevant formulas need not be recalled.
  • Use Pythagoras’ theorem, similarity of triangles and recall that the angles of a triangle add up to 1800 (and of a rectangle, 3600).
  • Understand the relationship between degrees and radians, and translate from one to the other.
  • Recall the small angle approximations (tan q@ sin q for small angles).

 

 

 

 

 

INDEX

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