The unit reviews and builds on fundamentals, including basic algebra, handling of functions, and some trigonometry. The rest of the unit is devoted to the algebra of matrices and vectors, and their application to geometry and linear systems.   

Unit details

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Learning Outcomes

On successful completion of this unit, students will be able to:
  1. Perform algebraic operations including the handling of indices and logarithms, factorisation and expansion of simple expressions and the simplification of fractions;  
  2. Solve linear and quadratic equations presented in a variety of forms and with different solution methods;  
  3. Graph straight lines in the plane and determine gradients and intersections;  
  4. Use trigonometric functions to analyse geometric figures;  
  5. Perform arithmetic on vectors and matrices;  
  6. Apply matrices to the geometric transformation of vectors; and  
  7. Solve simultaneous linear equations using matrix methods.  


Assessment type Description Grade
Test Eight (8) small tests during class time. 20%
Test Mid-semester test (1 hour) 30%
Examination Final Examination (2 hours) 50%

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