### Maths For Science

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:

1. Form and solve quadratic equations
2. Solve mathematical problems involving series and trigonometry
3. 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:

1. Liquid Crystal Displays.
2. White boards/black boards
3. 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.

Course Textbooks

1. Uppal S.M. and Humphreys H.M. (2008). Mathematics for Science, (2nd Ed.). New Delhi, India: New Age International Pvt Ltd Publishers. ISBN-13: 978-8122409949
2. Backhouse J.K. (2007). Pure Mathematics 1 (4th Ed.). NY, USA: Longman. ISBN-13: 978-0582353879
3. Sullivan M. (2011). Algebra and Trigonometry (9th Ed.). Canada: Pearson Education. ISBN-13: 978-0321716569

Course Journals

1. IMA Journal of Applied Mathematics, Oxford University Press. ISSN 0272-4960.
2. American Journal of Mathematics, The Johns Hopkins University Press. ISSN: 0002-9327
3. Advances in Theoretical and Mathematical Physics, International Press. ISSN: 1095-0761.

Reference Materials:

Reference Textbooks

1. McKeague C.M. (2011). Elementary Algebra, (9th Ed.). New Delhi, India: Cengage Learning. ISBN-13: 978-0840064219
2. McKeague C.M. (2009). Basic Mathematics, (7th Ed.). New Delhi, India: Cengage Learning. ISBN-13:978-0534378929
3. Aufmann R.N., Barker V.C. and Nation R.D. (2007). College Algebra and Trigonometry (6th Ed.). Boston, USA: Houghton Mifflin. ISBN-13: 978-0618825158

Reference Journals

1. ActaNumerica. Cambridge University Press. ISSN: 0962-4929
2. European Journal of Applied Mathematics. Cambridge University Press. ISSN: 0956-7925
3. Communications on Pure and Applied Mathematics Journal. Wiley Periodicals. ISSN: 1097-0312

MAT 2111 MATHEMATICS FOR SCIENCE OUTLINE.docx

### CHI 2403 INDUSTRIAL PROCESSES AND ENVIRONMENT

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 re-use

CHI 2403 Course Outline.docx

### Industrial Catalysis

Pre-requisite 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.

CHE 2414 CATALYSIS cc.doc

### Introduction to Industrial Chemistry

Course Objectives

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

1. Distinguish between classical and industrial chemistry
2. Classify the chemical industry in terms of products, raw materials, scale and types of transformations.
3. Describe the operation principles of selected unit operations and unit processes.
Course Outline.doc

### FSU 2305 RESEARCH METHODOLOGY JAN - APR 2020

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

### CHI 2406 Materials Science JAN-APR 2020

1. Welcome to this Blended online course.

2. Venue for the face to face class will be in Prefab 2-03, Tuesday from 08.00-11.00 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 so that you don't miss out on scheduled activities

CAT out of 30

Exam out of 70