Purpose:
To provide students with basic mathematical tools and abilities of algebra, trigonometry, permutation and combinations, series and complex numbers
Learning outcomes:
At the end of this course, the student should be able to:
 Form and solve quadratic equations
 Solve mathematical problems involving series and trigonometry
 Perform mathematical operations involving complex numbers
Course description:
Surds, logarithms and indices; Determination of linear laws from experimental data; Quadratic functions, equations and inequalities; Remainder theorem and its application to solution of factorisable polynomial equations and inequalities; Permutations and combinations; Series: finite, infinite, arithmetic, geometric and binomial, and their applications such as compound interest, approximations, growth and decay; The principle of induction and examples such as formulae for summation of series and properties of divisibility; Trigonometry; trigonometric functions, their graphs and inverses for degree and radian measure, addition, multiple angle and factor formulae, trigonometric identities and equations; Sine and cosine formulae; their application to solution of triangles, trigonometric identities; Complex numbers: Argand diagrams, arithmetic operations and their geometric representation; Modulus and argument; De Moivre’s theorem and its applications to trigonometric identities and roots of complex numbers.
Teaching methodology: Lectures, tutorials; and group discussions
Instruction materials/equipment:
 Liquid Crystal Displays.
 White boards/black boards
 Flip charts
Course Assessment:
Continuous Assessment 30%
End of Semester Examination 70%
LECTURE/WEEK 
COURSE CONTENT 
REMARKS 
Surds, logarithms and indices; 


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


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


Permutations and combinations; 


Series: finite, infinite, arithmetic, geometric and 


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


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


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


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


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


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
Course Journals
 IMA Journal of Applied Mathematics, Oxford University Press. ISSN 02724960.
 American Journal of Mathematics, The Johns Hopkins University Press. ISSN: 00029327
 Advances in Theoretical and Mathematical Physics, International Press. ISSN: 10950761.
Reference Materials:
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
Reference Journals
 ActaNumerica. Cambridge University Press. ISSN: 09624929
 European Journal of Applied Mathematics. Cambridge University Press. ISSN: 09567925
 Communications on Pure and Applied Mathematics Journal. Wiley Periodicals. ISSN: 10970312
 Teacher: Peter Macharia
 Teacher: Dr. Sitawa Wattanga
Course Outline Scope in Summary:
 Atmospheric Chemistry  Air Pollution and mitigation measures
 Water pollution and Mitigation measures
 Solid Waste pollution and mitigation
 Hazardous waste
 Circular Economy_ Waster reduction, recycling and reuse
 Teacher: PROF. DICKSON ANDALA
Prerequisite CHEM 2317: Chemical Kinetics and Electrochemistry
course description
see the attached course outline.
1. At the end of this course the learn should understand the importance of catalysis in Industries, differentiate between different types of catalysts ie homogeneous and heterogeneous.
2. understand their properties and reaction mechanisms on the surface of a catalyst.
3. The learner should understand the basic principles like coordinate unsaturation, oxidative addition, reductive elimination, insertion reactions and cuurent development in catalyst design.
 Teacher: Asman Panyako
Course Objectives
At the end of this course, students should be able to:
 Distinguish between classical and industrial chemistry
 Classify the chemical industry in terms of products, raw materials, scale and types of transformations.
 Describe the operation principles of selected unit operations and unit processes.
 Teacher: Renee Munayi
At the end of this unit, the students should be able to:
1. Identify research problems
2. Write a research proposal
3. Apply the various techniques learnt to successfully carry out a research project
 Teacher: Dr. Martin Magu
1. Welcome to this Blended online course.
2. Venue for the face to face class will be in Prefab 203, Tuesday from 08.0011.00 hrs.
3. Feel free to use the instant chat to reach out to me as the Course Creator.
4. Send an email to mmagu@mmu.ac.ke.
5. Check out on announcements so that you don't miss out on scheduled activities
CAT out of 30
Exam out of 70
 Lecturer: Dr. Martin Magu