Course Description
Propositional logic: propositions, logic operators and truth tables, tautologies and contradictions, logical equivalence, boolean algebra, normal forms.
Methods of proof: direct proof, proof by contrapositive, proving equivalence, predicates and quantifiers, mathematical induction, proof by contradiction.
Integers: binary, Hexadecimal and Basen representation, modulo operations, divisibility, GCD and LCD, the Euclidean algorithm, sequences, recurrence relations, finding primes.
Sets and counting: set operations, venn diagrams, set identities, power sets, cross product, cardinality, the pigeon hole principle, the inclusionexclusion principle, permutations and combinations.
Binary relations: properties of relations, digraphs, equivalence relations and equivalence classes, partial order, Hasse diagrams, total order, zeroone matrices, transitive closure.
 Teacher: Mr. Bii Hillary
 Teacher: JAMES ADUNYA
 Teacher: Dr. Patrick Mokodir
 Teacher: Dr. Bonface Ngari
 Teacher: MOSES ODEO
 Teacher: Dr. Bonface Ngari
 Teacher: Prof LIVINGSTONE NGOO
 Teacher: MOSES ODEO
Purpose:
To provide students with basic mathematical tools and abilities of algebra, trigonometry, permutation and combinations, series and complex numbers
Teaching methodology: Lectures, tutorials; and group discussions
Course Assessment:
Continuous Assessment 30%
End of Semester Examination 70%
LECTURE/WEEK 
COURSE CONTENT 
REMARKS 
1 
Surds, logarithms and indices; 

2 
Determination of linear laws from experimental data; Quadratic functions, equations and inequalities 

3 
Remainder theorem and its application to solution of factorisable polynomial equations and inequalities; 

4 
Permutations and combinations; 

5 
Cat 1/ Assignment 1 

6 
Series: finite, infinite, arithmetic, geometric and 

7 
Binomial series, and their applications such as compound interest, approximations, growth and decay; 

8 
The principle of induction and examples such as formulae for summation of series and properties of divisibility; 

9 
Trigonometry; trigonometric functions, their graphs and inverses for degree and radian measure, addition, multiple angle and factor formulae, trigonometric identities and equations; 

10 
Cat 2 /Assignment 

11 
Sine and cosine formulae; their application to solution of triangles, trigonometric identities; 

12 
Complex numbers: Argand diagrams, arithmetic operations and their geometric representation; Modulus and argument; 

13 
De Moivre’s theorem and its applications to trigonometric identities and roots of complex numbers. 

Core Reading Materials:
Course Textbooks
 Uppal S.M. and Humphreys H.M. (2008). Mathematics for Science, (2^{nd} Ed.). New Delhi, India: New Age International Pvt Ltd Publishers. ISBN13: 9788122409949
 Backhouse J.K. (2007). Pure Mathematics 1 (4^{th} Ed.). NY, USA: Longman. ISBN13: 9780582353879
 Sullivan M. (2011). Algebra and Trigonometry (9^{th} Ed.). Canada: Pearson Education. ISBN13: 9780321716569
Reference Textbooks
 McKeague C.M. (2011). Elementary Algebra, (9^{th} Ed.). New Delhi, India: Cengage Learning. ISBN13: 9780840064219
 McKeague C.M. (2009). Basic Mathematics, (7^{th} Ed.). New Delhi, India: Cengage Learning. ISBN13:9780534378929
 Aufmann R.N., Barker V.C. and Nation R.D. (2007). College Algebra and Trigonometry (6^{th} Ed.). Boston, USA: Houghton Mifflin. ISBN13: 9780618825158
 Teacher: Peter Macharia
this course will enable the learner to understand an organization and how it is set up and managed.
The course will involve group research, discussion, and presentation of real companies registered in Kenya and demonstration of the organization setup
 Teacher: Felistus Kabiru