Aim of the programme The aim of this programme is to provide students with both firm and comprehensive knowledge, in the theory and practical aspects, in computational mathematics, Mathematical Statistics and Financial mathematics needed for top level scientific, technological and administrative development of African countries. On completion of the programme, students will be ready to embark upon a PhD or take up positions in mathematics related research institutions, in industry or in academia. Learning Outcomes By the end of the M.Sc., the students will have a strong and solid foundation in Computational Mathematics, Mathematical Statistics, and Financial Mathematics and have some experience of more focused independent work in one specific area . They will have some idea of the open research problems in these areas and will be fully qualified and ready to embark on a PhD programme. In particular they will be ideally placed to contribute to scientific, technological and economic development in Africa. Employment opportunities The main goal of the programme is to prepare students for PhD programmes and research in Mathematics. Nevertheless, such an indepth and rigorous programme of study will also equip students who so desire to pursue a career in other areas of research, such as natural sciences or engineering, or to work in finance and business industry. Admission Requirements An applicant should satisfy any of the following requirements: 1.The common regulations for all MSc degrees in the Pan African University/ JKUAT shall apply. 2.A holder of a Bachelors degree with at least upper second Class Honours in Mathematics, Mathematics and Statistics, Mathematics and Computer Sciences, Financial Mathematics or a related field from a University recognized by the University Senate. 3.Other qualifications recognized by the PAU and JKUAT Senate as being equivalent to (2) 4.In addition to meeting one of the requirements above, shortlisted applicants may be required to sit and pass entry tests. Programme Duration The duration of study for the degree of Master of Science in Mathematics shall be at least two (2) academic years (18 months) and at most four (4) academic years (36 months) from the date of registration. Pattern of the Programme The pattern of study will be by course work, examination and thesis. Students will be required to pass all units each semester. Scores will be given for various activities such as attending lectures and passing examinations, giving seminars, participating in workshops, and carrying out intensive periods of study in specific areas. Some of these activities will be foundational, having the goal of consolidating basic knowledge in fundamental areas of mathematics, while others will allow the student to go deeper into specific topics and become familiar with current research areas. 1. First Year The first year will largely be devoted to offering a very solid training in fundamentals of mathematics. The basic courses will be supplemented by short courses and seminars on more specialized and advanced topics given by visiting faculty in order to motivate and challenge the students. The importance of both theoretical and practical knowledge will be emphasized by extensive use of exercises and problems to illustrate and clarify theoretical concepts. Towards the end of first year, the students will also write a short essay on some subject under the supervision of a professor. A fulltime candidate shall take and pass all 14 course units, that include an essay unit. 2. Second Year During the second year, a students may follow some more advanced short courses given by visiting faculty members. These courses will allow them to develop a specialization in certain areas of mathematics and to become familiar with some topics of current cutting edge research. The students will write a thesis under the supervision of a professor. The thesis will consist of both reading and understanding a theory, and a practical knowledge of the subject such as developing examples in depth. A fulltime candidate shall take all courses offered in his or her area, including the Master’s thesis. 3. In order to qualify for the award of the degree of Master of Science in Mathematics every candidate must register for and pass all twelve units, including an essay and a thesis and passing a defense on the latter. Examinations 1. Regular Examinations 1.1 Each course unit in the first year, except essay shall be examined at the end of the semester in a three (3) hour written examination paper. 1.2 The essay unit shall be examined by oral presentation, and by assessing the written work. Total mark shall be 100% 1.3 For section 1.1, the written examinations shall constitute 60% of the overall mark in each course, the other 40% shall be made up of continuous assessment. 1.4 The pass mark for each course unit shall be 50%. 2 Supplementary/ Special Examinations 2.1 A candidate who fails in not more than two units may, on recommendation of the Board of examiners and with approval of the Senate, be allowed to sit supplementary examinations in the failed unit(s). 2.2 The maximum mark for any supplementary examinations shall be 50% and shall not include continuous assessment. 3 Discontinuation 3.1 A candidate who fails in more than two (2) course units in the regular examination shall be discontinued. 3.2 A candidate who fails in any of the supplementary units shall be discontinued. 4 Thesis Examinations Thesis: Proposal, and thesis shall be submitted and examined according to University regulations. 5. Course Distribution The following are courses to be covered per semester for each student. Year 1 Semester 1 1. PAU 3101: Entrepreneurship and Sustainability Management 2. PAU 3102: Research Methods and Scientific Communication 3. PUM 3101: Measure, Integration and Probability Theory 4. PUM 3102: Numerical Methods and Scientific Computing 5. PUM 3103: Functional Analysis and Differential Equations 6. PUM 3104: Algebra Year 1 Semester 2
Computational Option

Financial Option

Statistics Option

Year 2 Semester 1
 PAU 3101: History of Africa
 PUM 3200: Thesis
 Selected Topics in
Computational Option

Financial Option

Statistics Option

Year 2 Semester 2
 PAU 3104: Human Rights and Gender
 PUM 3200: Thesis