Courses Catalogue

Calculus I

COURSE CODE: MAT1102
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Education (Mathematics) - B.Ed
COLLEGE/SCHOOL/FACULTY: College of Education, Open and Distance Learning
STATUS: Elective
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

·         Review of the basic properties of the set of real numbers R.

·         Limits. Rules for calculating limits; Continuity; Intermediate Value Theorem;

·         Definition of derivative; Derivative as rate of change; Differentiability implies continuity; Continuity properties of the elementary functions, Derivative. Rules for differentiation (including product, quotient and chain rules); Derivatives of the elementary functions.

·         The calculus of the exponential and logarithmic functions.

·         Implicit differentiation; Related rates. Application. of derivatives.

·         Fermat's principle; The closed interval method; The mean value theorem; First and second derivative tests; Curve sketching; Application to Optimization.

MODE OF DELIVERY

·      Lecture and discussion

·      Group discussion

·      Reading and problem assignments

INSTRUCTIONAL MATERIALS/EQUIPMENT

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