JAMB 2021 SYLLABUS FOR ALL SUBJECTS


FOR COMPLETE 2021 JAMB SYLLABUS, PAST QUESTIONS AND JAMB LATEST UPDATE VISIT 2021jamb.com.

The aim of this year’s JAMB Mathematics Syllabus for Unified Tertiary Matriculation Examination (UTME), is to prepare the candidates for the Board’s examination. It is designed to test the achievement of the course objectives, which are to:

(1) acquire computational and manipulative skills;

(2) develop precise, logical and formal reasoning skills;

(3) develop deductive skills in interpretation of graphs, diagrams and data;

(4) apply mathematical concepts to resolve issues in daily living.

This syllabus is divided into five sections:

I. Number and Numeration.

II. Algebra

III. Geometry/Trigonometry.

IV. Calculus

V. Statistics

SECTION I: NUMBER AND NUMERATIOR

1. Number bases:

Topics:

(a) operations in different number bases from 2 to 10;

(b) conversion from one base to another including fractional parts.

Objectives:

Candidates should be able t

i. perform four basic operations (x,+,-,÷)

ii. convert one base to another.

2. Fractions, Decimals, Approximations and Percentages:

Topics:

(a) fractions and decimals;

(b) significant figures;

(c) decimal places

(d) percentage errors;

(e) simple interest;

(f) profit and loss percent;

(g) ratio, proportion and rate;

(h) shares and valued added tax (VAT)

Objectives:

Candidates should be able to

i. perform basic operations (x,+,-,÷) on fractions and decimals;

ii. express to specified number of significant figures and decimal places;

iii. calculate simple interest, profit and loss percent; ratio proportion and rate;

iv. Solve problems involving share and VAT.

3. Indices, Logarithms and Surds:

Topics:

(a) laws of indices;

(b) standard form;

(c) laws of logarithm;

(d) logarithm of any positive number to a given base;

(e) change of bases in logarithm and application;

(f) relationship between indices and logarithm;

(g) surds.

Objectives:

Candidates should be able to:

i. apply the laws of indices in calculation;

ii. establish the relationship between indices and logarithms in solving problems;

iii. solve problems in different bases in logarithms;

iv. simplify and rationalize surds;

v. perform basic operations on surds.

4. Sets:

Topics:

(a) types of sets

(b) algebra of sets

(c) venn diagrams and their applications

Objectives:

Candidates should be able to:

i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets;

ii. solve problems involving cardinality of sets;

iii. solve set problems using symbol;

iv. use venn diagrams to solve problems involving not more than 3 sets.

SECTION II: ALGEBRA.

1. Polynomials:

Topics:

(a) change of subject of formula

(b) factor and remainder theorems

(c) factorization of polynomials of degree not exceeding 3.

(d) multiplication and division of polynomials

(e) roots of polynomials not exceeding degree 3

(f) simultaneous equations including one linear one quadratic;

(g) graphs of polynomials of degree not greater than 3

Objectives:

Candidates should be able to:

i. find the subject of the formula of a given equation;

ii. apply factor and remainder theorem to factorize a given expression;

iii. multiply and divide polynomials of degree not more than 3;

iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc.

v. solve simultaneous equations – one linear, one quadratic;

vi. interpret graphs of polynomials including applications to maximum and minimum values.

2. Variation:

Topics:

(a) direct

(b) inverse

(c) joint

(d) partial

(e) percentage increase and decrease.

Objectives:

Candidates should be able to:

i. solve problems involving direct, inverse, joint and partial variations;

ii. solve problems on percentage increase and decrease in variation.

3. Inequalities:

Topics:

(a) analytical and graphical solutions of linear inequalities;

(b) quadratic inequalities with integral roots only.

Objective:

Candidates should be able to:

i. solve problems on linear and quadratic inequalities;

ii. interprete graphs of inequalities.

4. Progression:

Topics:

(a) nth term of a progression

(b) sum of A. P. and G. P.

Objectives:

Candidates should be able to:

i. determine the nth term of a progression;

ii. compute the sum of A. P. and G.P;

iii. sum to infinity of a given G.P.

5. Binary Operations:

Topics:

(a) properties of closure, commutativity, associativity and distributivity;

(b) identity and inverse elements (simple cases only).

Objectives:

Candidates should be able to:

i. solve problems involving closure, commutativity, associativity and distributivity;

ii. solve problems involving identity and inverse elements.

6. Matrices and Determinants:

Topics:

(a) algebra of matrices not exceeding 3 x 3;

(b) determinants of matrices not exceeding 3 x 3;

(c) inverses of 2 x 2 matrices [excluding quadratic and higher degree equations].

Objectives:

Candidates should be able to:

i. perform basic operations (x,+,-,÷) on matrices;

ii. calculate determinants;

iii. compute inverses of 2 x 2 matrices.

SECTION III: GEOMETRY AND TRIGONOMETRY

1. Euclidean Geometry:

Topics:

(a) Properties of angles and lines

(b) Polygons: triangles, quadrilaterals and general polygons;

(c) Circles: angle properties, cyclic quadrilaterals and intersecting chords;

(d) construction.

Objectlives:

Candidates should be able to

i. identify various types of lines and angles;

ii. solve problems involving polygons;

iii. calculate angles using circle theorems;

iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90° etc.

2. Mensuration:

Topics:

(a) lengths and areas of plane geometrical figures;

(b) lengths of arcs and chords of a circle;

(c) Perimeters and areas of sectors and segments of circles;

(d) surface areas and volumes of simple solids and composite figures;

(e) the earth as a sphere:- longitudes and latitudes.

Objectives:

Candidates should be able to:

i. calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures;

ii. find the length of an arc, a chord, perimeters and areas of sectors and segments of circles;

iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres and composite figures;

iv. determine the distance between two points on the earth’s surface.

3. Loci:

Topic:

locus in 2 dimensions based on geometric principles relating to lines and curves.

Objectives:

Candidates should be able to:

identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles.

4. Coordinate Geometry:

Topics:

(a) midpoint and gradient of a line segment;

(b) distance between two points;

(c) parallel and perpendicular lines;

(d) equations of straight lines.

Objectives:

Candidates should be able to:

i. determine the midpoint and gradient of a line segment;

ii. find the distance between two points;

iii. identify conditions for parallelism and perpendicularity;

iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form.

5.Trigonometry:

Topics:

(a) trigonometrical ratios of angels;

(b) angles of elevation and depression;

(c) bearings;

(d) areas and solutions of triangle;

(e) graphs of sine and cosine;

(f) sine and cosine formulae.

Objectives:

Candidates should be able to:

i. calculate the sine, cosine and tangent of angles between – 360° ≤ θ ≤ 360°;

ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry;

iii. solve problems involving angles of elevation and depression;

iv. solve problems involving bearings;

v. apply trigonometric formulae to find areas of triangles;

vi. solve problems involving sine and cosine graphs.

SECTION IV: CALCULUS

I. Differentiation:

Topics:

(a) limit of a function

(b) differentiation of explicit algebraic and simple trigonometrical functions-sine, cosine and tangent

Objectives:

Candidates should be able to

i. find the limit of a function

ii. differentiate explicit algebraic and simple trigonometrical functions.

2. Application of differentiation:

Topics:

(a) rate of change;

(b) maxima and minima

Objective:

Candidates should be able to:

solve problems involving applications of rate of change, maxima and minima.

3. Integration:

Topics:

(a) integration of explicit algebraic and simple trigonometrical functions;

(b) area under the curve.

Objectives:

Candidates should be able to

i. solve problems of integration involving algebraic and simple trigonometric functions;

ii. calculate area under the curve (simple cases only).

SECTION V: STATISTICS

1. Representation of data:

Topics:

(a) frequency distribution;

(b) histogram, bar chart and pie chart

Objectives

Candidates should be able to

i. identify and interpret frequency distribution tables;

ii. interpret information on histogram, bar chat and pie chat

2. Measures of Location:

Topics:

(a) mean, mode and median of ungrouped and grouped data – (simple cases only);

(b) cumulative frequency

Objectives:

Candidates should be able to:

i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only);

ii. use ogive to find the median, quartiles and percentiles.

3. Measures of Dispersion

Topic

range, mean deviation, variance and standard deviation.

Objective:

Candidates should be able to:

calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.

4. Permutation and Combination:

Topics:

(a) Linear and circular arrangements;

(b) Arrangements involving repeated objects.

Objective:

Candidates should be able to:

solve simple problems involving permutation and combination.

5. Probability:

Topics

(a) experimental probability (tossing of coin, throwing of a dice etc);

(b) Addition and multiplication of probabilities (mutual and independent cases).

Objective

Candidates should be able to:

solve simple problems in probability (including addition and multiplication)

RECOMMENDED TEXTS

Adelodun A. A (2000) Distinction in Mathematics: Comprehensive Revision Text, (3rd Edition) Ado -Ekiti: FNPL.

Anyebe, J. A. B (1998) Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher/ institutions, Lagos: Kenny Moore.

Channon, J. B. Smith, A. M (2001) New General Mathematics for West Africa SSS 1 to 3, Lagos: Longman.

David -Osuagwu, M. et al (2000) New School Mathematics for Senior Secondary Schools, Onitsha: Africana – FIRST Publishers.

Egbe. E et al (2000) Further Mathematics, Onitsha: Africana – FIRST Publishers

Ibude, S. O. et al (2003) Agebra and Calculus for Schools and Colleges: LINCEL Publishers.

Tuttuh – Adegun M. R. et al (1997), Further Mathematics Project Books 1 to 3

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Adeleke University Post UTME Form – 2020/2021.

Admiralty University of Nigeria – ADUN Post UTME Form – 2020/2021.

Eko University of Medical and Health Sciences – EkoUNIMED Post UTME Form – 2020/2021.

Cross River University of Technology – CRUTECH Post UTME Form – 2020/2021.

University of Maiduguri – UNIMAID Post UTME Form – 2020/2021.

Atiba University Oyo Post UTME Form – 2020/2021.

Bingham University Post UTME Form – 2020/2021.

First Technical University – Tech-U Post UTME Form – 2020/2021.

Kings University Post UTME Form – 2020/2021.

Godfrey Okoye University – GOUNI Post UTME Form – 2020/2021.

Babcock University – BU Post UTME Form – 2020/2021.

University of Calabar – UNICAL Post UTME Form – 2020/2021.

Evangel University Akaeze – EUA Post UTME Form – 2020/2021.

Bowen University Post UTME Form – 2020/2021.

Rhema University Nigeria Post UTME Form – 2020/2021.

University of Uyo – UNIUYO Post UTME Form – 2020/2021.

Ambrose Alli University – AAU Post UTME Form – 2020/2021.

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Nile University of Nigeria – NUN Post UTME Form – 2020/2021.

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Precious Cornerstone University – PCU Post UTME Form – 2020/2021.

Pan-Atlantic University – PAU Post UTME Form – 2020/2021.

Oduduwa University Ile-Ife – OUI Post UTME Form – 2020/2021.

Lead City University Post UTME Form – 2020/2021.

Mountain Top University Post UTME Form – 2020/2021.

Augustine University Ilara Post UTME Form – 2020/2021.

Baze University Abuja Post-UTME Form – 2020/2021.

McPherson University Post UTME Form – 2020/2021.

Crawford University Post UTME Form – 2020/2021.

Dominion University Post UTME Form – 2020/2021.

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Skyline University Nigeria – SUN Post UTME Form – 2020/2021.

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Redeemer’s University Nigeria Post UTME Form – 2020/2021.

Igbinedion University Post UTME Form – 2020/2021.

Crescent University Abeokuta – CUAB Post UTME Form – 2020/2021.

Edo University Post UTME Form – 2020/2021.

Ajayi Crowther University – ACU Post UTME Form – 2020/2021.

American University of Nigeria – AUN Post UTME Form – 2020/2021.

Afe Babalola University Ado-Ekiti – ABUAD Post UTME Form – 2020/2021.

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Elizade University Post UTME Form – 2020/2021.

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Federal Polytechnic Ilaro Post UTME Form – 2020/2021.

Auchi Polytechnic Post UTME Form – 2020/2021.

Nigerian Institute of Journalism – NIJ Post UTME Form – 2020/2021

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[b]Difference between polytechnic and university in Nigeria.

*{1a}* In University the minimum duration of your programme depends on the course of study. It can be 3, 4, 5, 6 or even 7 years

*{1b}* In Polytechnic your minimum duration of study is 5 years. Two years for National Diploma (ND), one year compulsory Industrial training (IT), two years for (HND)
*__________________________________________________________________*

*{2a}* You can study any course in a University; Science, Arts, Law, Medicine, Engineering, Social Science and Commercial courses.

*{2b}* In Polytechnic you can’t study courses like Medicine and Surgery, medical related courses, Law, and some social science course.
*__________________________________________________________________*

*{3a}* After completing your course in University, and you graduate with at least second class lower, you can go for a Master Degree in your programme.

*{3b}* After completing your HND Programme in a Polytechnic, you can’t apply for a Masters Degree with just your HND Certificate. You must do a compulsory one year Postgraduate Diploma (PGD).
*__________________________________________________________________*

*{4a}* Tussle for Admission is Once: Once you gain admission into a Nigerian University to attain your first degree, you don’t need any other entrance examination to get your Degree. Say you gained admission to study Statistics, you won’t write any other entrance examination again. You just need to write semester examinations.

*{4b}* Tussle for Admission is Twice: In Polytechnic, there is ND and HND. First you gain admission to get your ND certificate. After the programme you must apply for admission to get the HND certificate. This means writing the entrance examination or applying for admission twice.
*__________________________________________________________________*

*{5a}* Once you start, you must wait until you complete your four or five years programme before you can use your certificate to apply for job

*{5b}* In polytechnic, after two years in the school you get your ND certificate. You can use this certificate to apply for job. But note that lately people who have ND are under paid.
*__________________________________________________________________*

{6a} Except for some few courses, University teaching is theory based.

{6b} Most of their courses are practical based. Just few courses are theory based.
*__________________________________________________________________*

{7a} University requires higher UTME Score. In 2019, the lowest JAMB cut-off mark was 160. However, some Universities minimum was 180 while others 200.

{7b} Polytechnics accepts students with low JAMB UTME scores. In 2019, most Polytechnics accepted JAMB candidates who scored 120 in UTME
*__________________________________________________________________*
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