This course is the second course in calculus, designed primarily for students in mathematics, pure and applied sciences. However, it also meets the need of students in other fields. The courseâ€™s focus is to impart useful skills on the students in order to enhance their knowledge in methods of solving mathematical problems and prepare them for other specialised applications to be encountered at higher levels. Topics to be covered include realvalued function of a real variable, review of differentiation and integration and their applications, mean value theorem, Taylor series, realvalue functions of two or three variable, partial derivatives, chain rule, extrema, Lagrangeâ€™s multiplier, increment, differentials and linear approximations, evaluation of linear integral.
This course is a first course in Differential Equations designed primarily for students in Sciences and Engineering. However, it also meets the need of students in other fields; as a course that introduces students to theory of ordinary differential equations. The course focuses on First and second order ordinary differential equations and general theory of nth order linear ordinary differential equations.
The course, along with AGP 220, is one of the two introductory courses for the Applied Geophysics undergraduate degree programme. It is designed for all students of Geosciences and Mineral Sciences and other interested students like Physics, Mining Engineering, Materials and Metallurgy etc. it provides handson exposure to the knowledge of the physical properties of the earth. As an introductory course, it lays a solid foundation for the subsequent higher level courses in the area of exploration and exploitation of earth materials. The course covers topics like earth seismicity, gravity, rock magnetism and geothermometry.
This is an introductory course in geomathematics that builds on studentâ€™s prior experience with algebra, trigonometry and calculus. A good background in calculus will be of considerable benefit. A review of basic statistical characterization and testing is also included in the course. The focus is to provide a good illustration of some basic mathematics applications to geophysics problem solving and also serve as a bridge for students to Advanced Calculus and Additional math classes. Topics to be covered include differential and integral calculus, types of functions, vector analysis, matrix algebra, solution of Laplace equations, Fourier analysis, statistic regression analysis, curve fitting techniques and analysis of errors, Bessel Equation, Lagendre Polynomials and solution of matrix equations.
AGP 220 – Introductory Geomathematics
COURSE PARTICULARS
Course Code: AGP220
Course Title: Introductory Geomathematics
No. of Units: 2
Course Duration: Three hours of theory and 1 onehour problem sessions each week
for 15 weeks.
Status: Compulsory
Course Email Address: agp220@gmail.com
Course Webpage: NIL
Prerequisite: MTS 101
COURSE INSTRUCTORS
Prof. P.A. Enikanselu
SEMS PHASE 1Building
Dept. of Applied Geophysics,
Federal University of Technology, Akure, Nigeria.
Phone: +2348036672547
Email: paenikanselu@futa.edu.ng
and
Dr. J.O. Amigun
SEMS Building
Dept. of Applied Geophysics,
Federal University of Technology, Akure, Nigeria.
Phone: +2348035959029
Email: joamigun@futa.edu.ng
COURSE DESCRIPTION
AGP 220 is an introductory course in geomathematics builds on student prior experience with algebra, trigonometry and calculus. Some prior background in calculus will be of considerable benefit. A review of basic statistical characterization and testing is also included in the course. The focus is to provide a good illustration of some basic mathematics applications to geophysics problem solving and also serves as a bridge for students to Advance Calculus and additional math classes. Topics to be covered include differential and integral calculus, types of functions, vector analysis, matrix algebra, solution of Laplace equations, Fourier analysis, statistic regression analysis, curve fitting techniques and analysis of errors, Bessel equation, Lagendre polynomials and solution of matrix equations.
COURSE OBJECTIVES
The objectives of this course are to:
COURSE LEARNING OUTCOMES / COMPETENCIES
Upon successful completion of this course, the student will be able to:
(Knowledge based)
(Skills)
GRADING SYSTEM FOR THE COURSE
This course will be graded as follows:
Class Attendance 5%
Assignments 10%
Test(s) 20%
Final Examination 65%
TOTAL 100%
GENERAL INSTRUCTIONS
Attendance: A student's attendance is an important factor in his / her grade i.e. 5% for this course and will be used as a precondition for each student's eligibility to write the final examination. In case of ill health or other unavoidable cause of absence, the student must communicate soonest with any of the instructors, signifying the reason for the absence.
Academic Integrity: Dishonesty in assignments, examinations or any form of violations of academic integrity including plagiarism is prohibited. All events of academic fraudulence will be reported to the University Management for appropriate sanctions in accordance with the University rules.
Assignments and Group Work: Failure to submit assignment(s) as scheduled will earn the affected student zero mark for that assignment. Only on justifiable situations, for which a student has informed any of the instructors beforehand, will late submission of assignments be permitted.
Code of Conduct in Lecture Rooms and Laboratories: Students during lectures should turn off their cell phones and are prohibited from engaging in other activities (such as texting, watching videos, etc.) during lectures.
READING LIST
^{4}Duffy, G. D. (1998). Advanced Engineering Mathematics. CRC Press, London. 627p.
^{3}Jerry, A. (2002). Advanced Engineering Mathematics. Harcourt / Academic Press. 1147p.
^{1,5}Stroud, K.A and Booth, D.J.(2003). Advanced Engineering Mathematics. 4^{th} Edition. Palgrave Macmillan, Great Britain. 694p.
^{3}Kreyszig, E. (2012). Advanced Engineering Mathematics. 9^{th} Edition. John Wiley and Sons, Singapore. 1093p.
Legend
1 Available in the University Library
2 Available in Departmental/School Libraries
3 Available on the Internet.
4 Available as Personal Collection
5 Available in local bookshops.
COURSE OUTLINE
Week 
Topic 
Remarks 
1 
Differential and integral calculus


2 


3 


4 


5 


6 


7 & 8 



MIDSEMESTER TEST 

9 & 10 


11 & 12 


13 & 14


TEST 
15 
REVISION 
