Specialist Mathematics

Thank you for your interest in Year 12 Specialist Mathematics.

Specialist Mathematics revision seminars at Adelaide Tuition Centre help students strengthen their understanding of the key concepts and topics studied throughout the school term.

Each holiday seminar reflects the content students have recently covered in class, revisiting important areas such as advanced functions, calculus, and mathematical reasoning, while reinforcing understanding through clear explanations and guided revision.

We only run sessions for this subject in the Term 2 and 3 Holiday Seminars. Sessions follow a consistent structure across the year, with Term 3 Seminars placing a strong focus on exam preparation, including targeted exam revision and guidance on how to answer questions according to the marker’s expectations.

To revise as much as possible, it is recommended to attend all the seminars listed below. However, this is not compulsory and you may choose any combination of sessions.

Teacher in charge

Sessions

Session A

Complex numbers with polynomials

Available

Course details

  • Understanding complex numbers and their operations; Cartesian and polar form and properties of complex numbers
  • Connection of complex numbers to 2D vectors and linear transformations of the plane; graph sketching; triangle inequality

 

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$90.00p/session
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Session B

Functions; Induction; basics of Vector geometry in 2 & 3 dimensions

Available

Course details

  • First half is problem-solving of the composition of functions, domain & range; one-to-one condition for inverse functions and sketching graphs; Principle of Mathematical Induction
  • The second half is operations with vectors including addition, subtraction, scalar multiplication, scalar product and vector product.

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Session C

Applications of vectors

Available

Course details

  • Equations of lines and planes
  • Vectors moving over time; uniform motioned object in free flight
  • Finding angles between lines; a line and a plane; planes

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Session D

Integration techniques and applications

Available

Course details

  • Basic rules derived from the fundamental theorem of calculus
  • Integration by substitution and parts
  • Using partial fractions

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Session E

Rates of change and differential equations

Available

Course details

  • Related rates over time
  • Differential equations (definition) and their solutions
  • All the meaning of the derivative of a function

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Good to know

  • Students are encouraged to ask questions and engage in discussion to deepen their understanding.
  • Sessions are led by experienced South Australian teachers who understand the SACE2 Specialist Mathematics curriculum and how it is assessed.
  • Key concepts are explained from different angles to help students grasp challenging topics more clearly.

Venue

Revision Seminar sessions are held at St. Aloysius College entrance via Chancery Lane.