Calculus II - Mr. Elvin Garcia
Calculus II further discusses the mathematical fields mentioned in Calculus I: Differentiation and Integration. Initially the complex number is introduced then Exponential and Logarithmic Functions. In differentiation the chain rule, gradients of tangent/normal, second derivative and implicit/parametric differentiation, partial derivatives will be discussed. The field Integration studies the topics: partial fractions, integration by substitution, integration by parts followed by reduction formulae. Also the numerical method ‘Trapezium Rule’ will be evaluated to obtain areas.
Algebra and Function - Mr. Elvin Garcia
This course starts with Reasoning and logic, followed by the real number system, Algebraic Operations which includes the Remainder Theorem, Factor theorem and polynomial identities; Thereafter the properties of Exponential and Logarithmic functions. Then the concepts of Functions: domain, range, injective, surjective, bijective. The Modulus function and special properties of quadratic and cubic equations will be discussed (nature of the roots).