SCO110/SIT190: COURSE OUTLINE
1. Numbers: Integers, Rational Numbers, Irrational numbers, and real numbers
2. Arithmetic Functions: domain, co-domain, image, range, pre-image and types of functions (surjections, injections, inverses, composition)
3. Relations: symmetric, anti-operations-symmetric, reflexive, and transitive.
4.Trigonometry: trigonometric functions of compound angles, Double angle formulae, half-angle formulae, inverse trigonometric functions, General trigonometric solutions.
5. Complex numbers: Geometric representation, polar forms, and DeMoivre’s theorem and its applications to trigonometric identities and complex roots of complex numbers. its applications to trigonometric identities and complex roots of complex numbers.
6. Indices and algorithms.
7. Quadratic equations and polynomials, factor theorem, remainder theorem;
8. Integration: Partial fractions.
9. Basic counting: combinations and permutations and binomial theorem.
1. Numbers: Integers, Rational Numbers, Irrational numbers, and real numbers
2. Arithmetic Functions: domain, co-domain, image, range, pre-image and types of functions (surjections, injections, inverses, composition)
3. Relations: symmetric, anti-operations-symmetric, reflexive, and transitive.
4.Trigonometry: trigonometric functions of compound angles, Double angle formulae, half-angle formulae, inverse trigonometric functions, General trigonometric solutions.
5. Complex numbers: Geometric representation, polar forms, and DeMoivre’s theorem and its applications to trigonometric identities and complex roots of complex numbers. its applications to trigonometric identities and complex roots of complex numbers.
6. Indices and algorithms.
7. Quadratic equations and polynomials, factor theorem, remainder theorem;
8. Integration: Partial fractions.
9. Basic counting: combinations and permutations and binomial theorem.
- Teacher: Muli Charles