ACADEMIC PROCEDURES This document forms part of the Academic Procedures series Developed by the Directorate of Academic Planning COURSE SPECIFICATION Course code MTH 321 Course title Ordinary Differential Equations Department Mathematics, Computer Science,Statistics, Info. Credit unit 3 Level (UG) Level 3 Course leader Dr Oruh Ben Official phone number and email address Office Hours Mon: 11 - 12 am, Tue: 15 - 16 pm Other staff (if applicable) Mr. Okorie A Official phone number and email address Office Hours Mon: 11 - 12 am, Tue: 15 - 16 pm Lecture Time Lecture Venue For academic year Contact hours for the semester Assessment 2014/15 Lectures Labs/Seminars Method Mid Semester Exams Coursework Examination This course is to be taken as part of the B.Sc. Anatomy B.Sc. Physiology following programmes: [22 hours ] [11 hours] Proportion of marks [15]% [15]% [70]% B.Sc. Medical Biochemistry B.Sc. Physics B.Sc. Geology B.Sc. Geophysics B.Sc. Mathematics B.Sc. Statistics B.Sc. Computer Science and Informatics B.Sc. Biology B.Sc. Microbiology B.Sc. Biotechnology Directorate of Academic Planning, FUNAI B.Sc. Chemistry B.Sc. Molecular Biology B.Sc. Biochemistry COURSE AIMS- ALIGNMENT WITH FUNAI VISION AND MISSION This course is aimed at preparing the students for the kinds of applicable mathematics they shall encounter in other courses they will be taking, throughout their undergraduate studies and higher studies. It will as well help the students to gather enough mathematical tools to be used in their final year project and possibly in future research works. . INTENDED LEARNING OUTCOMES Having completed this course the student is expected to: 1. Understand the concept of functions of one, two and three variables. 2. Clearly identify the gap between what is learnt in the course and what she knew about the topics treated, before the course began. 3. Demonstrate clear understanding of the topics treated in the course. 4. Showcase adequate skills on how to tackle a mathematical problem. 5. Possess problem solving skills that will ensure confidence and boldness when confronted with any mathematical problem. 6. Know how to arrive at a conclusion by putting up a sound and logical mathematical argument. 7. Develop basic mathematical analysis skills 8. Develop basic mathematical modeling skills LEARNING AND TEACHING METHODS Lectures will be given, accompanied with tutorials where interactions from the students will be highly encouraged, as they shall be guided through problem solving to enhance their problem solving skills. INDICATIVE CONTENT Directorate of Academic Planning, Federal University Ndufu-Alike, Ikwo (FUNAI) 2 Lecture/seminar programme FUNAI Wk Lecture Session 1 Topic/Reading for private study 2 Ordinary Diff. Equations (ODE): Linear dependence; Wronskian 3 Reduction of order, variation of parameter and series solution of ODE. 4 Reduction of order, variation of parameter and series solution of ODE. 5 Special functions: Gamma, Beta, Bessel, Legendere and hypergeometric functions 6 Special functions: Gamma, Beta, Bessel, Legendere and hypergeometric functions 7 Mid –Semester Examination 8 Laplace Transform 9 Laplace Transform 10 Application of Laplace Transform 11 Application of Laplace Transform 12 Revision Week 13 14 Exams Exams Ordinary Diff. Equations (ODE): Linear dependence; Wronskian Tasks/Think points for private study For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. Mid –Semester Examination For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of this topic read the relevant chapters in the core and supplementary textbooks. For an overview of these topics read the relevant chapters in the core and supplementary textbooks. Revision Week Lecturer Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. Dr Ben Oruh, Mr Okorie A. INDICATIVE KEY LEARNING RESOURCES Core reading list This course is in part based around notions and/or material that can be found in the core text(s) listed below. It is therefore likely that you will use, or refer to, in your lecture/seminar Directorate of Academic Planning, Federal University Ndufu-Alike, Ikwo (FUNAI) 3 sessions the notions and/or material in the books listed here. You will likely be directed to study aspects of these texts in your out-of-classroom time, that is, in your private study. Erwin Kreyszig Advanced Engineering Mathematics, 9th edition, New York: Mc Graw Hill Supplementary reading [1] Serge Lang (2005) Undergraduate Analysis, 2nd edition, USA: Springer Science+Business Media, Inc. [2] Robert E. Moyer, Frank Ayers, Jr. Schaum’s Outline Advanced Calculus 2nd edition, New York: Mc Graw Hill CONTINIOUS ASSESSMENT The Intended Learning Outcomes are assessed through: Assessment Surprise Quiz Mid semester Exams Coursework Semester Exams Weight 0% 15% 15% 70% Deliverables - important dates Ensure that you make a careful note of when the assessment tasks are due in for this course. Try not to leave working on these tasks until the last minute – this is stressful for you and tends to lead to poor quality work. Remember that you have several assessments (for different courses) due the same week and you will need to plan for this. Assessment Mid semester exam- Due date Lecture session 7 Feedback & Result 14 days after the assessment Lecture session 10 14 days after the assessment Session 13 and 14 14 days after the assessment To be held at the regular class time and place Coursework Semester Exam Feedback on your work The university is committed to providing you with written feedback for all assessed coursework within 14 days from the submission date. You will get feedback on your performance on a feedback form which will be returned to you. If you do not receive feedback within this time, then you should first contact the course leader. If it proves necessary, you should then contact the Head of Department. Submitted coursework, including your final year project, will not be returned to you. This is true for all coursework, in all courses and at all levels, and does not apply to only this course. We must keep the original copy of all coursework to provide the external examiners with a complete record of your work. Directorate of Academic Planning, Federal University Ndufu-Alike, Ikwo (FUNAI) 4 Late coursework It is the University policy to accept and grade all late items of coursework (up to the published latest date for submission). There is no such thing as 'an extension'. You cannot negotiate new deadlines, and you do not need to get agreement about handing in your work late from the course leader or any other member of staff. Late coursework submissions are, however, subject to penalties (capping) that determine the maximum grade that you can achieve depending upon how late the work is. The current penalty scale can be found below: The following caps to be uniformly applied, in the absence of relevant mitigating circumstances accepted by the BoE: Up to 1 working day late Up to 2 working days late Up to 5 working days late Up to 10 working days late Up to 15 working days late More than 15 working days late Mark capped at 70% Mark capped at 60%; Mark capped at 50%; Mark capped at 40%; Mark capped at 30%; Mark capped at 0%. A working day is here defined as Monday to Friday at any time of year, with the exception of Nigeria national holidays. Students with mitigating circumstances can apply to have penalties removed via submission of the appropriate form and evidence. How to do this is explained in the Student’s Handbook. Planning your time i. Students are expected to attend all classes including seminars and laboratory sessions for each course. It is mandatory for students to have a minimum attendance of 75% in this course to be eligible to take the final semester examination. ii. Learning Skills Development Week is a break from formal subject-specific teaching activities (lectures and seminars) and applies to all undergraduate courses in the University. During that week the university offers a number of very useful free sessions on topics such as essay and dissertation writing, exam technique and job applications. You are strongly encouraged to attend sessions relevant to your studies. iii. Note: Instructors are not required to provide mid semester examination make-up. Directorate of Academic Planning, Federal University Ndufu-Alike, Ikwo (FUNAI) 5