Courses Catalogue

Differential Calculus

COURSE CODE: MAT1102
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Statistics
COLLEGE/SCHOOL/FACULTY: College of Economics and Management
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Content and Outline

Function and their graphs

  • The function concept
  • Composite function and inverse functions
  • Polynomial functions
  • The trigonometric functions

limits and continuity

  • The limit of a function
  • The limit properties and techniques for finding limits
  • Continuity
  • Infinite limits and infinity

The derivative

  • Derivatives of sums, differences and powers
  • The product and quotient rules
  • Higher order  derivatives
  • Derivatives of trigonometric functions
  • The chain rule

Applications of the derivatives

  • extreme values
  • applied maximum and minimum problems
  • approximating roots of equations
  • Rolle’s theorem
  • the mean value theorem of differentiation
  • anti-derivatives and differential equations

MODE OF DELIVERY

  • Lectures
  • Reading assignments
  • Practical assignments
  • Field trips
  • Documentaries

INSTRUCTIONAL MATERIALS AND / OR EQUIPMENT

  • Whiteboard and Markers
  • Flip Charts
  • LCD Projectors
  • CDs, DVDs and Tapes