Courses Catalogue

Calculus Ii

COURSE CODE: MAT1202
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

  • Anti-derivative and Integration.
  • Definite integrals as signed area; Riemann sums and their properties; Rules for definite integrals; Fundamental theorems of calculus; Indefinite integrals.
  • Some Properties of the Indefinite Integral.
  • Substitution. Integration by Parts. Quadratics and Trigonometric Substitutions. Integration of Rational Functions and Partial Fractions.
  • Applications of Integration. Area between curves.
  • Further Properties of the Definite Integral. The Length of a Curve. Volumes of Revolution. Area of Surface of Revolution. Area in polar coordinates.
  • Numerical Approximation to Definite Integrals. Estimating the value of e (Nepero constant). Improper integrals: theory and exaples. Introduction to
  • Differential Equations. Separable Equations.
  • The Malthus Equation. The Logistic Equation. Linear First-Order Equations.

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