Perfect Guide Series JUPEB MATHEMATICS

PEDAGOGUE HOUSE

160 pages

This revised edition of JUPEB Mathematics in the Perfect Guide Series has been rewritten to match the Joint Universities Preliminary Examination Board syllabus for 2027–2031 (J154 Mathematics). Every topic and objective in the syllabus is taught in the text, and the book follows the order in which the courses are taken: Table A. Courses in the 2027–2031 syllabus Course Title Semester Chapters MAT 001 Advanced Pure Mathematics (3 units) First 1–16 MAT 002 Calculus (3 units) First 17–27 MAT 003 Statistics (3 units) Second 28–40 MAT 004A Applied Mathematics (3 units) Second 41–48 MAT 004B Applied Business Mathematics (3 units) Second 49–54 All candidates take MAT 001, MAT 002 and MAT 003. For MAT 004 each candidate takes only one of the two sections: MAT 004A (Part Four, Section A) for courses in the sciences, engineering and environmental sciences, or MAT 004B (Part Four, Section B) for courses in the management and social sciences. The book has grown from a short set of revision units into full course notes. The main additions are: sets, binary operations, mathematical induction, matrices and determinants up to 3 × 3 and complex numbers with De Moivre's theorem; Maclaurin and Taylor series and a full treatment of first-order differential equations and their applications; rates, ratios and index numbers, the t-test, chi-square tests and sampling techniques; conic sections and vector functions; and the whole of Applied Business Mathematics – interest and the time value of money, annuities, sinking funds and amortisation, inventory valuation, marginal analysis and elasticity, consumer and producer surplus, and linear programming. Each chapter opens with a JUPEB Syllabus Focus box listing what you must be able to do, and contains clear explanations, diagrams, tables, Worked Examples with full solutions, Exam Tips, Common Traps and Revision Questions. All mathematics is set in the equation editor. Answer guides to all revision questions, statistical tables and a glossary of key terms are at the back of the book. Nigerian examples – prices in naira, the consumer price index, local businesses and data – are used wherever possible. Past JUPEB examination questions with full answers are published separately in the Perfect Guide Series past-questions volume and should be used alongside this book. We thank the teachers and students whose feedback shaped this edition. The revision was carried out by Pedagogue House.