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).
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.
CHEM 100 - Pre College Chemistry (Tamara Recinos)
An introductory course to General Chemistry. It introduces students to the structure of atoms, the electronic configuration of atoms, formation of chemical bonds, chemical equations and reactions and the mole concept.