MA1011 - Mathematical Foundations for Advanced Secondary Students

Offered to high school gifted and talented students only.

Algebra including partial fractions and the binomial theorem; analytic geometry; functions and graphs; exponential and logarithmic functions; trigonometry; differentiation, including implicit differentiation and related rates; stationary points, curve sketching; simple integration; matrix algebra.

Learning Outcomes

• manipulate and solve algebraic equations involving non-integer powers and exponential, logarithmic, trigonometric and polynomial functions;
• sketch graphs of different functions including conic sections to analyse and interpret the important features of the mathematics;
• differentiate and integrate algebraic expressions involving non-integer powers and exponential, logarithmic, trigonometric and polynomial functions;
• apply methods of algebra and differential calculus to solve problems;
• communicate mathematical thinking incorporating the concepts and methods presented in the course.

Subject Assessment

• Written > Examination (centrally administered) - (70%) - Individual
• Written > Test/Quiz 1 - (20%) - Individual
• Written > Test/Quiz 2 - (10%) - Individual.

Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.