Mathematics Syllabus for JAMB UTME

New free Mathematics Syllabus for JAMB UTME Entrance Examination into Tertiary Institutions from Joint Admissions and Matriculation Board (JAMB) for Unified Tertiary Matriculation Examination (UTME) by Association of Tutorial School Operators (ATSO) available free download PDF-Schemeofwork.com

Contents

UTME Mathematics Syllabus for JAMB Syllabus for JAMB UTME Subjects Links

Comprehensive Unified Tertiary Matriculation Examination (UTME) Tutorial Syllabus for Mathematics.

UTME Mathematics Syllabus for JAMB

It cover the official UTME syllabus topics for Mathematics twenty-two (22) weeks tutorials plan. It provides the teachers/tutors with a comprehensive approach to covering the UTME curriculum and yet comprehensible topic outlines for the students. It enhances quality teaching for tutors and provides an all-inclusive learning scope and excellence-oriented drift for students.

WEEK	SESSION TOPICS CONTENTS	CLASS OBJECTIVES
WEEK 1	NUMBER BASE TOPIC; Operation in different number bases from 2 to 10.Conversion from one base to another including fractional parts. FRACTION, DECIMALS, APPROXIMATIONS AND PERCENTAGE: Fraction and decimals, significant figures, decimal places.Percentage errors, simple interest, profit and lossRatio, proportion and rate, shares and valued added tax (VAT)	*At the end of this topic(s), tutorial students are expected to know how to;* perform four basic operation [-,+,,\] on number bases convert one base to another. Perform basic operation (,+,-\) on fractions and decimal; Express to specified number of significant figures and decimal places; Calculate simple interest, profit and loss percent; ratio proportion and rate Solve problems involving share and VAT.
WEEK 2	INDICES, LOGARITHMS AND SURDS TOPIC; Law of indices, standard form, law of logarithms;Logarithms of any positive number to a given base;Change of bases in logarithm and application.Relationship between indices and logarithms;Surds.	*At the end of this topic(s), tutorial students are expected to know how to;* Apply the laws of indices in calculation; Establish the relationship between indices and logarithms in solving problems, Solve problems in different bases in logarithms; Simplify and rationalize surds; Perform basic operations on surds.
WEEK 3	SETS Types of sets.Algebra of sets.Venn diagrams and their application.	*At the end of this topic(s), tutorial students are expected to know how to;* Identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets; Solve problems involving cardinality of sets; Solve set problems using symbol; Use venn diagram to solve problems involving not more than 3 sets

WEEK 4	POLYNOMIALS; TOPIC; Change of subject of formulaFactor and remainder theoremsFactorization of polynomials of degree not exceeding 3Multiplication and division of polynomialsRoots of polynomials not exceeding degree 3Simultaneous equations including one linear one quadratic;Graph of polynomials of degree not greater than 3.	*At the end of this topic(s), tutorial students are expected to know how to;* Find the subject of the formula of a given equation Apply factor and remainder theorem to factorize a given expression; Multiply and divide polynomials of degree not more than 3; Factorize by regrouping difference of two square, perfect squares and cubic expressions; etc Solve simultaneous equations- one linear, one quadratic; Interpret graphs of polynomials including applications to maximum and minimum values.
WEEK 5 NOV 4^TH – NOV 8^TH	VARIATIONS; TOPIC; DirectInverseJointPartialPercentage increase and decrease.	*At the end of this topic(s), tutorial students are expected to know how to;* Solve problems involving direct, inverse, joint and partial variations; Solve problems on percentage increase and decrease in variation.
WEEK 6	INEQUALITIES TOPIC; Analytical and graphical solutions of linear inequalities;Quadratic inequalities with integral roots only.	*At the end of this topic(s), tutorial students are expected to know how to;* Solve problems on linear and quadratic inequalities; Interpret graphs of inequalities.
WEEK 7	PROGRESSION; TOPIC; Nth term of a progressionSum of A P and G.P.	Candidates should be able to; Determine the nth term of a progression; Compute the sum of A.P. and G.P. Sum of infinity of a given G.P.
WEEK 8	BINARY OPERATIONS; TOPIC; Properties of closure, commutativity, associativity and distributivity;Identity and inverse element (simple cases only).	*At the end of this topic(s), tutorial students are expected to know how to;* Solve problems involving closure, commutativity, associativity and inverse elements.

WEEK 9	MARTRICES AND DETERMINANTS; TOPIC; Algebra of matrices not exceeding 33Determinants of matrices not exceeding 33Inverses of 2*2 matrices {excluding quadratic and higher degree equations}.	*At the end of this topic(s), tutorial students are expected to know how to;* Perform basic operations *(, +, -,\) on** matrices; Calculate determinants; Compute inverses of 2*2 matrices.
WEEK 10	EUCLIDEAN GEOMETRY; TOPICS; Properties of angles and linesPolygons: triangles, quadrilaterals and general polygons;Circles: angle properties, cyclic quadrilaterals and intersecting chords;Construction.	*At the end of this topic(s), tutorial students are expected to know how to;* Identify various types of lines and angles; Solve problem involving polygons; Calculate angles using circle theorems; Identify construction procedures of special angles.
WEEK 11	MENSURATION	*At the end of this topic(s), tutorial students are*
	TOPIC; Length and areas of plane geometrical figures;Length of arcs and chords of a circle;Perimeters and areas of sectors and segments of circles;Surface areas and volumes of simple solids and composite figuresThe earth as a sphere: longitudes and latitudes.	*expected to know how to;* Calculate the perimeters and areas of triangles, quadrilateral, circle and composite figures; Find the length of an arc, a chord, perimeters and areas of sectors and segments of circles; Calculate total surface areas and volumes of cuboids
		cylinders, cones, pyramids, prisms, spheres and
		composite figures;
		Determine the distance between two points on the
		earth surface.
CHRISTMAS & NEW YEAR HOLIDAYS
WEEK 12	LOCI TOPIC; a. Locus in 2 dimensions based on geometric principles relating to lines and curves.	*At the end of this topic(s), tutorial students are expected to know how to;* Identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles.
WEEK 13	COORDINATE GEOMETRY;	*At the end of this topic(s), tutorial students are*
	TOPIC; Midpoint and gradient of a line segment;Distance between two points;Parallel perpendicular lines;Equation of straight lines.	*expected to know how to;* Determine the midpoint and gradient of a line segment; Find the distance between two points;
		Identify conditions for parallelism and
		perpendicularity;
		Find the equation of a line in the two point form,
		point – slope form, slope intercept form and the
		general form.

WEEK 14	TRIGONOMETRY; TOPIC; Trigonometrical ratio of angels;Angles of elevation and depression;Bearings;Areas and solutions of triangle;Graphs of sine cosine;Sine and cosine formulae.	*At the end of this topic(s), tutorial students are expected to know how to;* Calculate the sine, cosine and tangent of angles; Apply these special angles to solve simple problems in trigonometry; Solve problems involving bearings; Apply trigonometric formulae to find areas of triangles; Solve problems involving sine and cosine graphs.
WEEK 15	CALCULUS; DIFFERENTIATION; TOPIC; Limit of a functionDifferentiation of explicit algebraic and simple trigonometrical functions – sine, cosine and tangent.	*At the end of this topic(s), tutorial students are expected to know how to;* Find the limit of a function; Differentiate explicit algebraic and simple trigonometrical functions.
WEEK 16	APPLICATION OF DIFFERENTIATION; TOPIC; Rate of change;Maxima and minima.	*At the end of this topic(s), tutorial students are expected to know how to;* Solve problems involving applications of rate of change, maxima and minima.
WEEK 17	CALCULUS; INTEGRATION; TOPIC; Integration of explicit algebraic and simple trigonometrical functions;Area under the curve.	*At the end of this topic(s), tutorial students are expected to know how to;* Solve problems of integration involving algebraic and simple trigonometric functions; Calculate area under the curve (simple cases only).
WEEK 18	STATISTICS; REPRESENTATION OF DATA; TOPIC; Frequency distribution;Histogram, bar chart and pie chart.	*At the end of this topic(s), tutorial students are expected to know how to;* Identify and interpret frequency distribution tables; Interpret information on histogram, bar chat and pie chart.
WEEK 19	MEASURES OF LOCATION; TOPIC; Mean, mode and median of ungrouped and grouped data (simple cases only);Cumulative frequency.	Candidates should be able to; Calculate the mean, mode and median of ungrouped and grouped data (simple cases only); Use ogive to find the median, quartiles and percentiles.

WEEK 20	MEARSURES OF DISPERSION; TOPIC; a. Range, mean deviation, variance and standard deviation.	*At the end of this topic(s), tutorial students are expected to know how to;* Calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.
WEEK 21	PERMUTATION AND COMBINATION; TOPIC; Linear and circular arrangements;Arrangements involving repeated objects.	*At the end of this topic(s), tutorial students are expected to know how to;* Solve simple problems involving permutation and combination.
WEEK 22	PROBABILITY; TOPIC; Experimental probability (tossing of coin, throwing of a dice etc)Addition and multiplication of probabilities (mutual and independent cases)	*At the end of this topic(s), tutorial students are expected to know how to;* Solve simple problems in probability (including addition and multiplication).