« Professional Learning/Mathematical Sciences Institute

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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]