Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.
Module 3 - designed to prepare students for MATH1115
This course is offered over 9 consecutive working days
Functions and their representations. [One lecture]How to solve inequalities: interval notation, properties, combined
inequalities, inequality involving absolute values. [One lecture]Precise definition of a limit. [One lecture] Limits and continuity. [One lecture]Limits involving infinity. [One lecture] Formal definition of derivative and rules for differentiation [One lecture]Implicit differentiation. [One lecture]Trigonometric functions and their inverse. [One lecture]Hyperbolic functions and their inverse. [One lecture] Indeterminate forms and L’Hopital’s Rule. [One lecture] First and second derivatives; curve sketching. [One lecture]Antiderivatives. [One lecture]The area problem; the definite integral. [One lecture]Evaluating definite integrals: The Fundamental Theorem of Calculus. [One lecture]The Substitution Rule.[One lecture]Integration by Parts. [One lecture]Trigonometric integrals and substitutions. [Two lectures]Partial Fractions. [Two lectures]