Mathematics 2

Objectives

• To provide for the students the background knowledge necessary for them to study Mathematics at the university, both as a subject in its own right as in a Science degree or as a component of a degree in Engineering or Actuarial Studies
• To ensure the students have the language skills and the skills in asking mathematical questions necessary for them to undertake further studies in Mathematics in English.
• To allow students to experience the joy of doing Mathematics well.

Course outline

Semester 1

• Linear Algebra
  • Introduction to Algebra, Field Laws
  • Matrices
  • Solving Linear Systems of Equations
  • Solving a Linear System using the Inverse Coefficient Matrix
  • Applications involving Matrices
  • Transformations with Matrices
• Analytic Geometry
  • Parametric Equations, Locus Problems, and Three dimensional coordinate systems
  • Ellipses and Hyperbolae
  • Vectors
  • Dot and Cross Products of Vectors
  • Equations of Lines and Planes
  • Vector Motion

Semester 2

• Advanced Calculus
  • Introduction to Differential Equations
  • Second Order Differential Equations, Applications
  • Approximation of Definite Integrals
• Mechanics
  • Kinematics
  • Projectile Motion
  • Newton's Laws of Motion
  • Uniform Circular Motion
  • Rigid Bodies and Springs
• Sequences and Series
  • Introduction
  • Applications

Assessment

• Term 2 exam 20%
• Term 3 exam 30%
• Final exam 50%

Required texts

• Booklets are purchased from the lecturer.