By the end of the course, students should be able to:

  • analyse information and organise into parts; state in own words; develop a logical sequence of steps;
  • substitute in formulae; apply a progression of steps to achieve an accurate answer, using a diagram or a calculator;
  • draw graphs of different types and read information from graphs;
  • draw 3-D objects in 2 dimensions; draw a diagram from the text; use information in diagrammatic form;
  • read an applied question and formulate it mathematically in order to obtain a solution;
  • generate a reasoned, logical sequence of steps, including proportional reasoning;
  • analyse information into component parts; read actively (make sketches, exemplify); state in own words; analyse a question;
  • attend lectures regularly and participate actively; prepare for lectures and tutorials; submit assignments regularly;
  • read mathematics as a language and be able to use the symbols precisely and write coherently;
  • represent sets of numbers in Venn diagrams; represent domain and range of relations, functions, composite functions in a mapping diagram;
  • transfer understanding of linear graphs to shading of parabolas, circles, semi-circles and combinations of the above;
  • look at the equation of a graph and read off the features and the shifts without plotting the graph;
  • convert Cartesian coordinates to polar coordinates; visualise, plot and read coordinates, lines and planes in 3-D, find distance between any two points with 3 coordinates;
  • find the derivative of a function from first principles;
  • sketch a curve showing stationery points, asymptotes and positive and negative gradients; and
  • solve min/max problems using calculus.

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