 « Executive Short Courses/Mathematical Sciences Institute

## Maths Bridging - Module 2

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]