MTH 101: Elementary Mathematics I(Algebra and Trigonometry)

Learning Outcomes

At the end of the course, students should be able to:

  1. understand the basic definition of Set, Subset, Union, Intersection, Complements and use of Venn diagrams;
  2. solve quadratic equations;
  3. solve trigonometric functions;
  4. understand various types of numbers; and
  5. solve some problems using binomial theorem.

Course Contents

Elementary set theory, subsets, union, intersection, complements, Venn diagrams. Real numbers; integers, rational and irrational numbers, mathematical induction, real sequences and series, theory of quadratic equations, binomial theorem. Complex numbers; algebra of complex numbers; the Argand diagram. De-Moivre’s theorem, nth roots of unity. Circular measure, trigonometric functions of angles of any magnitude, addition and factor formulae.

MTH 102: Elementary Mathematics II (Calculus)                    (2 Units C: LH 30) Learning Outcomes

At the end of the course, students should be able to:

  1. understand types of rules in Differentiation and Integration;
  2. understand the meaning of Function of a real variable, graphs, limits and continuity; and
  3. solve some applications of definite integrals in areas and volumes.

Course Contents

Function of a real variable, graphs, limits and idea of continuity. The derivative, as limit of rate of change. Techniques of differentiation. Extreme curve sketching; Integration as an inverse of differentiation. Methods of integration, Definite integrals. Application to areas, volumes.