« Executive Short Courses/Mathematical Sciences Institute

Mon 15 Jan 2024 - Thu 25 Jan 2024

10:00 - 15:00

9 Sessions

Online (via Zoom)

Please note: It is mandatory for students to complete the diagnostic test prior to enrolling in any of the Bridging Modules.

Module 2 - designed to prepare students for MATH1013

This course is offered over 9 consecutive working days

  • Functions: Definition, Graph of a Function, Composite Functions. [One lecture] 
  • How to solve inequalities: interval notation, properties, combined inequalities, inequality involving absolute values. [One lecture]
  • Polynomial Functions; Real and Complex Zeros. [One lecture]
  • One to One Functions and Inverse Functions. [One lecture]
  • Exponential and logarithm functions [One lecture]
  • Exponential and Logarithmic Equations. [One lecture]
  • Trigonometric Functions. [One lecture]
  • Inverse Trigonometric Functions. [One lecture]
  • Trigonometric Identities: Sum and Difference Formulas, Double and Half Angles
  • Limits and Continuity. [One lecture]
  • Limits Involving Infinity. [One lecture]
  • The Tangent Problem, Definition of the Derivative. [One lecture]
  • Rules for Differentiation. [One lecture]
  • Derivatives of the Trigonometric Functions. [One lecture]
  • Product Rule, Quotient Rule, Chain Rule. [One lecture]
  • Implicit Differentiation and related rates. [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]
  • Areas between Curves. [One lecture]