APPLIED GEOPHYSICS

MTS 201 (C)
Mathematical Methods1
MTS 201 (C) | AGP | 1st Semester |  Download Courseware PDF

Course Synopsis

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 course’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 real-valued function of a real variable, review of differentiation and integration and their applications, mean value theorem, Taylor series, real-value functions of two or three variable, partial derivatives, chain rule, extrema, Lagrange’s multiplier, increment, differentials and linear approximations, evaluation of linear integral.

MTS 209 (C)
Elementary Differential Equations I
MTS 209 (C) | AGP | 1st Semester |  Download Courseware PDF

Course Synopsis

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.

AGP202 (C)
Introduction to Earth Physics
AGP202 (C) | AGP | 2nd Semester |  Download Courseware PDF

Course Synopsis

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 hands-on 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.

AGP220 (C)
Introductory Geomathematics
AGP220 (C) | AGP | 2nd Semester |  Download Courseware PDF

Course Synopsis

This is an introductory course in geomathematics that builds on student’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.

 

THE FEDERAL UNIVERSITY OF TECHNOLOGY, AKURE,Department of Applied Geophysics 

 

 

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 one-hour 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:

  • introduce students to the use of some mathematical concepts needed for solving quantitative problems in applied geophysics; and
  • develop their knowledge and proficiency in using mathematics for geophysical data analysis and processing.

COURSE LEARNING OUTCOMES / COMPETENCIES

Upon successful completion of this course, the student will be able to:

(Knowledge based)

  • familiarize with a number of mathematical concepts that are used heavily in science and engineering;
  • develop the cognition and proficiency in using a variety of mathematical tools needed for future coursework and careers in Earth Sciences;

 

 (Skills)

  • acquire mathematics and computer skills for handling the quantitative problems which are increasingly common in geophysics characterization activities.
  • develop problem solving, data manipulation/analysis and plotting 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

4Duffy, G. D. (1998). Advanced Engineering Mathematics. CRC Press, London. 627p.

3Jerry, A. (2002). Advanced Engineering Mathematics. Harcourt / Academic Press. 1147p.

1,5Stroud, K.A and Booth, D.J.(2003). Advanced Engineering Mathematics. 4th Edition. Palgrave Macmillan, Great Britain. 694p.

3Kreyszig, E. (2012). Advanced Engineering Mathematics. 9th 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

  • Types of functions

 

 

3

  • Vector analysis

 

 

4

  • Matrix algebra,

 

 

        5

  • Solution of Laplace equations

 

 

 

6

  • Solution of Laplace equations
  • Spherical harmonics analysis.

 

7 & 8

  • Fourier analysis,

 

 

 

 

MID-SEMESTER TEST

 

 

9 & 10

  • Statistic regression analysis,
  • Curve fitting techniques
  • Analysis of errors

 

 

11 & 12

  • Bessel equation
  • Lagendre polynomials

 

 

13 & 14

           

  • Lagendre polynomials
  • Solution of matrix equations.

 

 

 

TEST

15

REVISION