Mathematics

COURSES AVAILABLE

100 Level

FIRST SEMESTER

Course CodeCourse TitleCredits
MTH 110Algebra and Trigonometry03
MTH 112Calculus03

SECOND SEMESTER

Course CodeCourse TitleCredits
MTH 123Vectors, Coordinate Geometry and Statistics03
MTH 125Differential Equations and Dynamics03

200 Level

FIRST SEMESTER

Course CodeCourse TitleCredits
MTH 210Elementary Algebra and Analysis03
MTH 230Linear Algebra03
MTH 212Real Analysis I03
MTH 242Further Analysis03
MTH 211Ancillary Mathematics I03
MTH 215Social Mathematics03
MTH 213Vector Analysis03
MTH 218Mathematical Methods I03
MTH 214Introduction to Operations Research03
STA 211Probability Distribution Theory I03

SECOND SEMESTER

Course CodeCourse TitleCredits
MTH 220Algebra03
MTH 222Real Analysis II03
MTH 240Number Theory03
MTH 228Mathematical Methods II03
MTH 223Dynamics of a particle03
MTH 227Introductory Numerical Analysis03
STA 221Statistical Inference I03
MTH 221Ancillary Mathematics II03

300 Level

FIRST SEMESTER

Course CodeCourse TitleCredits
MTH 310Abstract Algebra I03
MTH 332Topology I03
MTH 312Real Analysis III03
MTH 313Complex Analysis I03
MTH 311History of Mathematics03
MTH 330Mathematics Logic03
MTH 336Vector Field Theory03
MTH 315Dynamics of a rigid body03
MTH 316Fluid Dynamics03
MTH 317Numerical Linear Algebra03
STA 312Probability Distribution Theory II03
MTH 314Operations Research03

SECOND SEMESTER

MTH 320Abstract Algebra II03
MTH 340Differential Geometry03
MTH 342Topology II03
MTH 322Real Analysis IV03
MTH 323Complex Analysis II03
MTH 328Mathematical Methods II03
MTH325Analytical Dynamics03
MTH 326Electricity and Magnetism03
STA 321Statistical Inference II03
MTH 324Mathematical Modelling03
MTH 399Industrial Training06

400 Level

FIRST SEMESTER

Course CodeCourse TitleCredits
MTH 410Advanced Linear Algebra04
MTH 412Lebsegue measure and Integration04
MTH 413Functional Analysis04
MTH 414Electromagnetism04
MTH 415Quantum Mechanics04
MTH 416Viscous Flow04
MTH 417Advanced Numerical Analysis04
MTH 418Mathematical Methods IV04
MTH 419Probability Theory and Stochastic processes04
MTH 432Modules04
MTH 435Special Relativity04
MTH 436Electromagnetism04
STA 412Design and Analysis of Experiments04

SECOND SEMESTER

Course CodeCourse TitleCredits
MTH 420Finite Group Theory04
MTH 422Normed Spaces (functional Analysis I)04
MTH 424Systems Theory04
MTH 426Wave Theory04
MTH 427Optimization Theory04
MTH 428Mathematical Methods V04
STA 413Sampling Theory and Survey Methods II04
MTH 440Topological Groups (Functional Analysis II)04
MTH 442Measure Theory04
MTH 445General Relativity04
MTH 446Elasticity04
MTH 499Reading Course (Project)06

[A] B.Sc.MATHEMATICS


History of the programme
Mathematics programme was established on November 23, 1970 with specialization in either Pure or Applied in the Institute of Science and Technology (now University of Benin). The programme was one of the foundation programmes with a first batch of 11 students and served about 108 foundation students admitted into Petro-chemical Engineering, Materials Technology, Production Engineering, Automobile Engineering, Metallurgy and Sciences (Geology, Physics, Chemistry, Bio-chemistry, Microbiology and so on) in 1970/71 session.
It is not exaggerated that mathematics has made great contributions throughout the history of the world by supplying mathematical models for the study of physical universe and has become an indispensable tool in disciplines such as Science and Technology, Computer Science and Information Technology, Management Science, Dental, Medicie, Pharmacy and Basic Medical Studies. It is therefore a well-known fact that no phenomena can survive without mathematics and upon this confession; mathematics programme therefore is the bed-rock of the universe. The programme has been reviewed severally to provide models for the new trends to prosecute the acceleration of nation economic development.


Methodology
It is oriented towards teaching of values such as utilitarian (mathematics for everyday life, tool for other subjects and foundation for further study in mathematics.), social (methods of investigation, organization, care of equipment and engineering management and administration, community rights and motivation), cultural (historical background, power of symbolism, models, logic and aesthetic appreciation), and personal (character building and opportunities for stimulating).


Philosophy
In recent times, mathematics has made essential contributions to the design of large systems, especially those so large, complicated and expensive that they cannot be designed by experimental methods alone. Mathematics, by virtue of its extensive applications and the aesthetic appeal of its methods and results, has long held a prominent place particularly in Science and Technology, Managerial Services and Information Technology and generally in education.
Mathematics programme is therefore to:
 Offer a rich, an intensive and accurate perception (about the subject field, behavior and functions of people, physical and life objects, leadership role, appropriate methods for carrying out researches and publications, and self-reliance.)
 Provide sound educational attainment to all students enrolled in the programme.
 Refine mathematical analysis of all requirements of specifications,
 Lay emphasis on specialization in line with the increasing need of mathematical models for Science and Technology in particular and in all sectors in general,
 Produce and accelerate the nation’s scientific, technological and managerial growth and development.
 Produce highly motivated, conscientious and efficient mathematicians for all aspect of humankind, and
 Encourage further the spirit of enquiry and creativity in general.


Objectives
The major objectives of mathematics in the Department of Mathematics, University of Benin, include:
 To produce graduate mathematicians that are sound in mathematics.
 To promote and encourage research in the various areas of mathematics.
 The need of mathematician to see himself as self-reliance and member of an organized team whose collaborative effort is required in order to achieve organization objective.
 To facilitate the education and training of mathematics-models developers
 To provide service courses in mathematics to students of other departments, faculties, and schools whose degree options necessarily require working knowledge of mathematics.
 To continue searching, expanding the scope of applications of mathematics discipline in order to promote and enhance Science and Technology, and in other areas, such as Managerial Sciences, and Information Services, relevant to the needs of the nation.


Admission Requirements:
[A] Four-Year Full Time Degree Programme (UME)
Candidates seeking admission into this programme should possess any of the following qualifications:
(i) At least five Ordinary Level credit passes in WAEC SSCE/GCE/NECO SSCE or
(ii) At least five credit passes in Teachers’ Grade II Certificate Examination (T.C. II) or
(iii) Any of the recognized equivalent at not more than two sittings.
The subjects should include, English Language, Mathematics, and any three of Physics, Chemistry, Biology, Agricultural Science.
The University Matriculation Examination (UME) subjects are;
• Use of English
• Mathematics
• Physics and
• any of Biology, Chemistry, Agricultural Science,
[B] Three-Year Full Time Degree Programme (Direct Entry)
In addition to the UME requirements above, candidates who possess any of the following qualifications may be considered for admission:,
(i) At least two Advanced Level passes in the General Certificate of Education (GCE) or the Higher School Certificate (HSC) or any of the recognized equivalent at not more than two sittings. The subjects should include Mathematics and any of Physics, Chemistry.
(ii) At least a merit level pass in the University of Benin Diploma in any of the following:
(a) Computer Science (DCS)
(b) Science Laboratory Technology, (DSLT)
(c) Analytical and Industrial Chemistry (DAIC)
(d) Mathematics Education (DME)
(e) Computer Engineering (DICE)
(f) Chemical Engineering (DICHE)
(iii) Diploma from other recognized Universities with at least an Upper credit level pass in the areas listed in (ii) above.
(iv) Ordinary National Diploma (OND) with at least an Upper credit level passes in Mathematics/Statistics, Computer Science, or Science Laboratory Technology (SLT) from any recognized Polytechnic or College of Technology.
(v) Higher National Diploma (HND) with at least a lower credit level passes in Mathematics/Statistics, Computer Science, Science Laboratory Technology (STL) from a recognized Polytechnic or College of Technology.
(vi) Nigeria Certificate of Education (NCE) with at least a credit level pass in Mathematics and Physics/Chemistry/Computer Science/Geography from a recognized College of Education. In addition candidates should have at least overall credit level pass level or at least a 9-point GPA.
(vii) A Bachelor of Science (B.Sc) degree certificate in any of the Sciences (Physcis, Chemistry, Geology/Mining, Biochemistry, Environmental Science, Microbiology, Optometry, Botany, Zoology, SLT, Statistics, Computer Science and Engineering) with at least 3rd Class Honours.

DISTRIBUTION OF COURSES: [B.Sc] MATHEMATICS

100 LEVEL

FIRST SEMESTERSECOND SEMESTER
Course CodeCourses TitleCreditsCourse CodeCourses TitleCredits 
*MTH110Algebra and Trigonometry03*MTH123Vectors, Coordinate Geometry  and Statistics03 
*MTH112Calculus03*MTH125Differential Equations and Dynamics03 
CHM111General Chemistry I03*CSC120Introduction to Software Packages03 
*GST111Use of English I02*GST121Use of English II02 
*GST112Philosophy and Logic02*GST122Nigerian Peoples and Culture02 
CHM113Organic Chemistry I03*GST123History & Philosophy of Science02 
BOT111Diversity of Plants03CHM122General Chemistry II03 
ZOO111Introduction to Ecology, Genetics and Evolution04CHM124Organic Chemistry II03 
GLY110Introduction to Geology03ZOO123Functional Zoology04 
PHY109Practical Physics02GLY120Introduction to Geology02 
PHY111Mechanics, Thermal Physics and Properties of Matter03PHY124Electromagnetism and Modern Physics04 
PHY113Vibrations, Waves and Optics03    

*Core courses

The total number of credits per session must not exceed 50 credits

200 LEVEL

FIRST SEMESTER SECOND SEMESTER 
Course CodeCourse TitleCreditsCourse CodeCourses TitleCredits
*MTH210Elementary Algebra and Analysis03+MTH220Algebra03
*MTH212 Real Analysis I03*MTH222Real Analysis II03
*MTH213Vector Analysis03+MTH223Dynamics of a Particle03
*MTH218Mathematical Methods I03MTH227Introduction to Numerical Analysis03
STA 211Probability Distribution Theory I03+MTH228Mathematical Methods II03
*MTH230Linear Algebra03STA 221Statistical Inference I03
+CSC212Symbolic Programming in Fortran03MTH240Number Theory03
   +MTH242Further Analysis03

The total number of credits per session must not exceed 50 credits

*Core courses         +Mandatory courses

300 LEVEL

Pure Option

FIRST SEMESTERSECOND SEMESTER
Course CodeCourse TitleCreditsCourse CodeCourses TitleCredits
*MTH310Abstract Algebra I03+MTH320Abstract Algebra II03
*MTH312Real Analysis III03+MTH322Real Analysis IV03
+MTH313Complex Analysis I03MTH323Complex Analysis II03
MTH315Dynamics of a Rigid Body03MTH325Analytical Dynamics03
MTH316Fluid Dynamics03MTH326Electricity and Magnetism03
MTH317Numerical Linear Algebra03*MTH328Mathematical Methods III03
MTH330Mathematical Logic03MTH340Differential Geometry03
+MTH332Topology I03MTH342Topology II03
MTH336Vector Field Theory03   
CSC313Data Structure03   
+CED300Entrepreneurship Development02   

The total number of credits per session must not exceed 50 credits

*Core courses         +Mandatory courses

300 LEVEL

Applied Option

FIRST SEMESTERSECOND SEMESTER
Course CodeCourse TitleCreditsCourse CodeCourses TitleCredits 
*MTH310Abstract Algebra I03MTH320Abstract Algebra II03 
*MTH312Real Analysis III03+MTH322Real Analysis IV03 
*MTH313Complex Analysis I03*MTH323Complex Analysis II03 
*MTH315Dynamics of a Rigid Body03+MTH325Analytical Dynamics03 
*MTH316Fluid Dynamics03MTH326Electricity and Magnetism03 
MTH317Numerical Linear Algebra03*MTH328Mathematical Methods III03 
MTH330Mathematical Logic03MTH340Differential Geometry03 
+MTH332Topology I03MTH342Topology II03 
*MTH336Vector Field Theory03+MTH324Mathematical Modeling03 
CSC313Data Structure03    
+CED300Entrepreneurship Development02    

The total number of credits per session must not exceed 50 credits

*Core courses         +Mandatory courses

400 LEVEL

Pure Option

FIRST SEMESTERSECOND SEMESTER
Course CodeCourses TitleCreditsCourse CodeCourses TitleCredits
+MTH410Advanced Linear Algebra04+MTH420Finite Group Theory04
MTH432Modules04MTH421Measure Theory04
+MTH412Lesbesgue Measure and Integration04+MTH422Functional Analysis II (Topological Groups)04
+MTH413Functional Analysis I (Normed Spaces)04MTH424Systems Theory04
+MTH418Mathematical Methods IV04MTH426Wave Theory04
   MTH428Mathematical Methods V04
   *MTH499Reading Course06

The total number of credits per session must not exceed 50 credits

*Core courses         +Mandatory courses

400 LEVEL

Applied Option

FIRST SEMESTERSECOND SEMESTER
Course CodeCourses TitleCreditsCourse CodeCourses TitleCredits
+MTH410Advanced Linear Algebra04MTH420Finite Group Theory04
+MTH412Lesbesgue Measure and Integration04MTH421Measure Theory04
MTH413Functional Analysis I (Normed Spaces)04MTH423Elasticity04
+MTH415Quantum Mechanics04MTH424Systems Theory04
+MTH416Viscous Flow04MTH425General Relativity04
+MTH418Mathematical Methods IV04MTH426Wave Theory04
MTH436Electromagnetism04MTH428Mathematical Methods V04
   *MTH499Reading Course06

The total number of credits per session must not exceed 50 credits

*Core courses         !Mandatory courses            +Elective courses