**JAMB Syllabus For Mathematics 2019/2020: Are you looking for the latest official JAMB mathematics syllabus 2019/2020 pdf for download? If yes, then you are reading the right article.**

In this article, you will find the official syllabus for JAMB mathematics 2019/2020 online and also the pdf.

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The syllabus contains the list of topics you are required to cover during the course of **preparing for JAMB**. It also contains the **list of recommended JAMB textbooks** which I have already covered **here**.

If you want to pass JAMB, there are basically three materials you need:

- JAMB syllabus
- JAMB recommended textbooks
- JAMB past questions

In today’s article, we will be dealing with **JAMB syllabus for mathematics 2019** pdf download and online reading.

**AIM OF JAMB MATHEMATICS SYLLABUS 2019/2020**

The aim of this 2019 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:

**acquire computational and manipulative skills;****develop precise, logical and formal reasoning skills;****develop deductive skills in interpretation of graphs, diagrams and data;****apply mathematical concepts to resolve issues in daily living**

## JAMB SYLLABUS FOR MATHEMATICS 2019/2020

This syllabus is divided into five sections:

**I. Number and Numeration.****II. Algebra****III. Geometry/Trigonometry.****IV. Calculus****V. Statistics**

**SECTION I: NUMBER AND NUMERATION.**

**Number bases:**

(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 to:

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

ii. convert one base to another.**Fractions, Decimals, Approximations and Percentages:**

(a) fractions and decimals

(b) significant figures

(c) decimal places

(d) percentage errors

(e) simple interest

(f) profit and loss per cent

(g) ratio, proportion and rate**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 per cent,

ratio proportion and rate.**Indices, Logarithms and Surds:**

(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**Sets:**

(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,

compliments, subsets, finite, infinite and disjoint

sets;

ii. solve set problems using symbol;

iii. use venn diagrams to solve problems involving

not more than 3 sets.

**SECTION II: ALGEBRA**

**Polynomials:**

(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, etc.;

v. solve simultaneous equations – one linear, one

quadratic;

vi. interpret graphs of polynomials including

application to maximum and minimum values.**Variation:**

(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.**Inequalities:**

(a) analytical and graphical solutions of linear inequalities.

(b) quadratic inequalities with integral roots only.**OBJECTIVES:**Candidates should be able to:

solve problems on linear and quadratic inequalities

both analytically and graphically**Progression:**

(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 a given G.P**Binary Operations:**

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

(b) identity and inverse elements.**OBJECTIVES:**Candidates should be able to:

i. solve problems involving closure,

commutativity, associativity and distributivity;

ii. solve problems involving identity and inverse

elements.**Matrices and Determinants:**

(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: GEOMETRIC AND TRIGONOMETRY**

**Euclidean Geometry:**

(a) angles and lines

(b) polygon; triangles, quadrilaterals and general polygon.

(c) circles, angle properties, cyclic, quadrilaterals and intersecting chords.

(d) construction.**OBJECTIVES:**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. 30º, 45º, 60º, 75º, 90º etc.**Mensuration:**

(a) lengths and areas of plane geometrical figures.

(b) length s of arcs and chords of a circle.

(c) 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 and areas of

sectors and segments of circles;

iii. calculate total surface areas and volumes of

cuboids, cylinders. cones, pyramids, prisms,

sphere and composite figures;

iv. determine the distance between two points on

the earth’s surface.**Loci:**

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.**Coordinate Geometry:**

(a) midpoint and gradient of a line segment.

(b) distance between two points.

(c) parallel and perpendicular lines

(d) equations of straight lines.**OBJECTIVE:**Candidates should be able to:

i. determine the midpoint and gradient of a line

segment;

ii. find 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.**Trigonometry:**

(a) trigonometric ratios of angels.

(b) angles of elevation and depression and bearing.

(c) areas and solutions of triangle

(d) graphs of sine and cosine

(e) sine and cosine formulae.**OBJECTIVES:**Candidates should be able to:

i. calculate the sine, cosine and tarigent of

angles between – 360º ≤ 0 ≤ 360º;

ii. apply these special angles, e.g. 30º, 45º, 60º,

75º, 90º, 135º to solve simple problems in

trigonometry;

iii. solve problems involving angles of elevation

and depression and bearing;

iv. apply trigonometric formulae to find areas of

triangles;

v. solve problems involving sine and cosine

graphs.

**SECTION IV: CALCULUS**

**I. Differentiation:**

(a) limit of a function;

(b) differentiation of explicit algebraic and simple trigonometric functions – sine, cosine and tangent.**OBJECTIVES:** Candidates should be able to:

i. find the limit of a function;

ii. differentiate explicit algebraic and simple

trigonometric functions.

**Application of differentiation:**

(a) rate of change

(b) maxima and minima**OBJECTIVES:**Candidates should be able to:

solve problems involving applications of rate of

change, maxima and minima.**Integration:**

(a) integration of explicit algebraic and simple trigonometric functions.

(a) 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:**

(a) frequency distribution

(b) histogram, bar chart and pie chart.**OBJECTIVES:** Candidates should be to:

i. identify and interpret frequency distribution

tables;

ii. interpret information on histogram, bar chat

and pie chart.

**Measures of Location**

(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.**Measures of Dispersion: range, mean deviation, variance and standard deviation**.**OBJECTIVES:**Candidates should be able to:

calculate the range, mean deviation, variance and

standard deviation of ungrouped and group data.**Permutation and Combination****OBJECTIVES:**Candidates should be able to:

solve simple problems involving permutation and

combination.**Probability.****OBJECTIVES:**Candidates should be able to:

solve simple problems in probability (including

addition and multiplication).

## Best Books To Read For JAMB Mathematics

- 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. name(s)? (2000). New School Mathematics for Senior Secondary Schools, Onitsha: Africana – FIRST Publishers.
- Egbe. E name(s)? (2000). Further Mathematics, Onitsha: Africana – FIRST Publishers
- Ibude, S. O. name(s)? (2003). Agebra and Calculus for Schools and Colleges: LINCEL Publishers.

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