HomeJUPEB Syllabus 2026JUPEB Mathematics Syllabus 2026/2027 & Textbooks

JUPEB Mathematics Syllabus 2026/2027 & Textbooks

By February 3, 2026 JUPEB Syllabus 2026 0 Comments

The JUPEB Mathematics Syllabus 2026/2027: likely covering MAT001 (Algebra/Calculus) and MAT002 (Vectors/Mechanics), focuses on advanced algebra (matrices, binomial theorem), calculus (differentiation, integration), trigonometry, coordinate geometry, and statistics. The syllabus is split into two semesters, covering topics like complex numbers, conic sections, and probability to prepare students for direct entry into Nigerian universities.

JUPEB First Semester Courses For Mathematics

COURSE CODECOURSE TITLE CREDIT LOAD
MAT001Advanced Pure Mathematics 3 Units
MAT002Calculus3 Units

JUPEB FIRST SEMESTER Mathematics SYLLABUS

 JUPEB MATHEMATICS SYLLABUS
SNTOPICSOBJECTIVES
 FIRST SEMESTER
 MAT001: ADVANCED PURE MATHEMATICS
1REAL NUMBERSi. Integers,

ii. Rational and irrational numbers,

iii. Mathematical induction,

iv. Real sequence and series (AP and GP),

v. Sum to infinity of Geometric Progression and its convergence, and

vi. Binary operations
2ALGEBRAi. Set Theory
a) Elementary set theory,
b) Subset, union,
c) Intersection,
d) Complements,
e) Venn diagram and its applications to word problems.

ii. Mapping
a) Compositions of mapping
b) Domain
c) Range
d) One-to-one
e) Onto mapping
f) Inverse Functions
g) Composite Functions

iii. Theory of Quadratics
a) The roots of quadratic (completing the square, using the discriminant to determine the roots),
b) Theory of quadratic equations.

iv. Polynomials
a) Polynomial as an equation up to degree 3,
b) The Factor theorem and
c) The Remainder theorem,
d) Partial fractions.

v. Binomial theorem,
a) Binomial Theorem
b) Pascal triangle.

vi. Logarithm
a) The relationship between logarithm and Indices, change of base, and the natural logarithm.

vii. Matrices and Determinants
a)Matrices and Determinants of not more than 3 x 3, inverse, addition, subtraction, multiplication and its applications to system of equations up to three unknowns.

viii. Inequality
a) Linear, quadratic, Simultaneous (one linear, one quadratic) and graphical solution.
b) Absolute value and intervals.
3COMPLEX NUMBERSi. Basic complex numbers,

ii. Algebra of complex numbers,

iii. The Argand diagram,

iv. Complex numbers in polar form,

v. De- Moivre’s theorem with Proof (nth root of unity) and

vi. Loci problems
4TRIGONOMETRYi. Circular Measure
a) Radians and Degrees conversion,
b) Length of an arc,
c) Area of a sector,
d) Area of the segment of a circle.

ii. Trigonometric Function
a) Magnitude simple trigonometricy equations,
b) Graphs of trigonometric functions (Sine, Cosine, and Tangent).
c) Inverse of trigonometric functions. trigonometric identities.
d) Use of trigonometric function
5COORDINATE GEOMETRYi. Straight Line
a) Length, gradient and mid-point of sta line.
b) Equation of straight line (coordin of two points and one point, and the gradients).
c) Association between the gradients of parallel and perpendicular lines.

ii. Other Conic Equation
a) Circles,
b) Parabola,
c) Ellipse,
d) Hyperbola and
e) Their properties (eg tangents and normal)
 MAT002: CALCULUS
6DIFFERENTIATIONi. Differentiation
Functions of a real variable, graphs, limits and notion of continuity, differentiation from first principle, differentiation of: algebraic functions and trigonometric functions. Composite functions: chain rule, product rule, and quotient rule. Derivatives of implicit and parametric functions. Higher order derivativesii. Application of derivation
a) Rectilinear motion
b) Tangent and normal to a curve
c) Maximum and minimum
d) Rate of change and curve sketching
e) Maclaurin and Taylor series
7EXPONENTIAL FUNCTIONSi. The graph of exponential function (a”),

ii. Limit and derivative of the function (a).

iii. The exponential function (e),

iv. The graph, limit and derivative of the exponential functions (e”).
8LOGARITHM FUNCTIONi. The relationship between logarithmic and exponential functions,

ii. the graph, limit and derivative of the logarithmic function (log, x).
9INTEGRATIONi. Integration
a) Standard integrals,
b) Integration as inverse of differentiation,
c) Definite integrals,
d) Techniques of integration (substitution method, inverse frigonometric function,
e) Integration by parts,
f) Use of partial fraction and reduction formula).

ii. Application of integration
a) Areas,
b) Volumes,
c) Numerical methods of integration: Trapezoidal and Simpson rules.
10SECOND ORDER DIFFERENTIATION
EQUATIONS		i. Second Order Differential Equations
a) Homogeneous second order differential equations with constant coefficients.

ii. Geometric Application
a)
The exponential growth and decay problems.

JUPEB Second Semester Courses for Mathematics

COURSE CODECOURSE TITLECREDIT LOAD 
MAT003Applied Mathematics 3 Units
MAT004Statistics 3 Units

JUPEB SECOND SEMESTER Mathematics SYLLABU

 SECOND SEMESTER
 MAT003: APPLIED MATHEMATICS
11VECTORSi. Vector
a) Scalar and vector quantities,
b) Types of vectors,
c) Representation and naming of vectors

ii. Algebra of Vectors
a) Addition, subtraction and scalar multiplication,
b) Commutativity and associativity,
c) Linear dependence and co-linearity of vectors,
d) Perpendicularity of vectors and the angles between two vectors

iii. Vectors Equations
a) Vector equation of lines and planes,
b) Application to geometry,
c) Vectors in three dimensions, and
d) The rectangular unit vectors i, j, and k.
e) Representation of vectors in terms of rectangular coordinates,
f) Scalar and vector functions.

iv. Vector Function
a) Differentiation of vector functions,
b) Integration of vector functions (one integral and differential operators of at most order 3).
12KINEMATICS OF MOTION IN A
STRAIGHT LINE		i. Motion in a straight line
a) Unit vectors, position vectors, speed,
velocity, acceleration and displacement in simple cases.
b) Area under a velocity-time graph representing displacement, and
c) Gradient of velocity-time graph representing acceleration.
d) Gradient of a displacement-time graph representing velocity

ii. Rectilinear Motion
a) Rectilinear motion with uniform acceleration,
b) Motion under gravity, and
c) Graphical method.

iii. Motion in a plane
a) Rectangular components of velocity and acceleration,
b) Resultant velocity,
c) Relative velocity and
d) Relative path.
13NEWTONIAN MECHANICSi. Newtonian Mechanics
a) Energy, work and power (simple cases)

ii. Force and Motion
a) Force and motion
b) Momentum
c) Newton’s Laws of motion
d) Different types of forces (gravitational reactions, tension and thrust)
e) Motion of connected particles
f) The At’wood machine (simple cases)
g) Motion of a particle on an inclined plane
14FORCES AND EQUILIBRIUMi. Forces and equilibrium
a) Forces acting at various points of a rigid body
b) Parallel Forces
c) Couple
d) Moment and application of vectors in a static (simple cases)

ii. Frictional forces and centre of a mass
a) Friction
b) Smooth bodies
c) Tension and thrust
d) Bodies in equilibrium (rough, horizontal and inclined planes)
e) Centre of gravity (simple cases)
15EQUILIBRIUM OF A RIGID BODYi. Moment of Inertia

ii. Ratio of gyration

iii. Parallel and perpendicular axes theorem

iv. Kinetic energy of a body rotating about a fixed axis (simple cases)
 MAT004: STATISTICS
16DESCRIPTION OF A DATA SETi. Data set
a) Population and sample
b) Random variables and graphical representation of data (histogram, bar chart, pie chart, Ogive and frequency polygon)
c) Measure of central tendency for grouped and ungrouped data (mean, median and mode)
d) Measure of dispersion for grouped and ungrouped data ( mean deviation, standard deviation and variance)
e) Skewness and Kurtosis
17MATHEMATICS OF COUNTINGi. Permutation and combination

ii. Fundamental principles of of probability theory

iii. Discrete and continuous random variables
18RANDOM VARIABLESi. Probability
a) Probability density function
b) Probability distribution function

ii. Discrete random variables
a) Find the mean and variance from a probability distribution table and the linear properties of expectation and variance

iii. Discrete probability variables
a) Expectation and variance of the following: Bernoulli, Binomial

iv. Density, function, expectation and variance
a) Geometric and poisson. Use of the Binomial and Poisson tables.
19NORMAL RANDOM VARIABLESi. Normal table
a) Use of standard normal table
b) Normal distribution as a model for data and it’s applications to real life problems

ii. Significance testing
a) Test of hypothesis
b) Errors in hypothesis testing
c) Significant tests using normal distribution and student i-distribution
c) Chi-square test (goodness of fit test and contingency table)
d) One-sample mean test
e) Difference of mean
f) One-sample proportion test
20REGRESSION AND CORRELATIONi. Simple regression and correlation
a) Types of correlation
b) Simple correlation
c) Simple Linear regression
21BASIC SAMPLING TECHNIQUESi. Types of sampling techniques
a) Simple sampling techniques
b) Finite and infinite sampling sizes

JUPEB Mathematics Textbooks 2026/2027

  • Adamu, M. (2006). Understanding basic statistics. Lagos: Nile Ventures.
  • Barnett, R. (2011). College algebra with trigonometry. New York: McGraw-Hill.
  • Bunday, M. (2014). Pure mathematics for advanced level. Lagos: University of Lagos, Department of Mathematics.
  • University of Lagos, Department of Mathematics. (2014). Course in statistics. Lagos: Nile Ventures.
  • University of Lagos, Department of Mathematics. (2014). Mathematics. Lagos: Tonniichristo Concepts.
  • University of Lagos, Department of Mathematics. (2014). Introduction to calculus. Lagos: Nile Ventures.
  • University of Lagos, Department of Mathematics. (2014). Introduction to mechanics. Lagos: Tonniichristo Concepts.
  • Dugopolski, M. (2011). College algebra. Boston, MA: Addison-Wesley.
  • Goetz, B. S., & Tobey, J. (2011). Basic mathematics. Boston: Pearson Education.
  • Graham, A. (2003). Statistics. London: Hodder Education.
  • Humphrey, J., & Topping, J. (1980). Intermediate mathematics. London: Longman Group.
  • Nwagbogwu, D. C., & Akinfenwa, O. A. (2012). Fundamentals of mathematics. Lagos: S. S. Stephen’s Nigeria Ltd.
  • Okunuga, S. A. (2009). Elementary mathematical methods. Lagos: WIM Publications.
  • Okunuga, S. A. (2006). Understanding calculus. Lagos: WIM Publications.
  • Riley, K. F., Hobson, M. P., & Bence, S. J. (2016). Mathematical methods for physics and engineering. Cambridge: Cambridge University Press.
  • Stroud, K. A. (2006). Advanced engineering mathematics. New York: Palgrave Macmillan.
  • Young, C. Y. (2010). Algebra and trigonometry. New Jersey: John Wiley & Sons.

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