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This exam pack covers MAT3707 Discrete Mathematics: Combinatorics examination material, including past examination papers from 2021–2025 with questions on graph theory, trees, combinatorics, generating functions, recurrence relations, counting techniques, spanning trees, chromatic numbers, Euler and Hamiltonian graphs, and related topics. It includes multiple-choice and written examination questions from different examination periods, providing comprehensive practice for the module.

This document contains worked solutions and examination material for MAT3705 Complex Analysis at UNISA, covering multiple examination sessions from 2015 through 2026. Topics include complex numbers and regions, complex functions and differentiability, Cauchy-Riemann equations, contour integration, Cauchy’s integral formula, Laurent series, residues, the residue theorem, and Rouche’s theorem. The pack includes both examination questions and memorandum-style solutions, making it useful for exa...

This exam pack covers APM2611 Differential Equations material from UNISA, including examination papers, detailed memoranda, assignment solutions, and formula sheets. Topics include first- and higher-order differential equations, D-operator methods, power series, Laplace transforms, Fourier series, and partial differential equations such as heat conduction. The pack includes worked solutions and exam-focused guidance on showing calculations and reasoning.

This exam pack covers the core MAT2612 topics, including mathematical induction, counting principles, relations and digraphs, functions and permutations, equivalence relations, Big-O notation, the pigeonhole principle, partially ordered sets, lattices, Boolean algebras, and Karnaugh maps. It contains worked solutions from multiple assignments and exam-related material, including practice questions, proofs, calculations, diagrams, and truth tables.

This document contains a comprehensive collection of worked solutions, assignments, and exam preparation material for the UNISA Numerical Methods II (APM3711) module. It covers topics such as boundary value problems, the shooting method, finite difference methods, eigenvalues and eigenvectors, the power method, partial differential equations, Gaussian elimination, LU decomposition, and iterative numerical methods. It also includes Pascal program implementations, analytical comparisons, and detai...

This document contains a comprehensive MAT2615 exam pack for Calculus in Higher Dimensions, including tutorial letters, assignment memoranda, worked solutions, and past examination papers from multiple semesters. It covers topics such as vectors, planes, multivariable limits, continuity, partial derivatives, gradients, optimization, multiple integration, line and surface integrals, Green’s Theorem, Stokes’ Theorem, and Gauss’ Theorem. The material includes fully worked solutions and marki...

This exam pack contains past MAT3701 Linear Algebra examination papers together with detailed memorandums covering topics such as linear operators, diagonalization, eigenvalues and eigenvectors, orthogonal projections, inner product spaces, spectral decomposition, transition matrices, least-squares approximation, norms, and condition numbers. It includes multiple May/June and October/November examinations from 2011 to 2013 with complete worked solutions, making it suitable for exam preparation a...

This document contains MAT1581 Mathematics I (Engineering) assignments with worked solutions, covering topics such as binomial expansion, complex numbers, analytic geometry, differentiation, integration, limits, partial fractions, determinants, Cramer's rule, and applications of calculus. It includes multiple assignments from different academic periods, official assignment questions, handwritten solutions, and marking guidance, making it a comprehensive revision resource for the course. The ...

This document contains detailed solutions to Assignment 01 for Numerical Methods II, covering key numerical techniques such as Euler’s method, Taylor series expansion, Runge-Kutta methods, and finite difference methods. It includes step-by-step calculations, tables, and comparisons with analytical solutions to support understanding. The material is aligned with semester coursework and is useful for exam preparation, especially for mastering numerical solution methods for differential equation...

This document contains Assignment 01 for MAT3707 Discrete Mathematics: Combinatorics, including questions and detailed handwritten and provided solutions covering graph theory, planarity, isomorphism, trees, and spanning algorithms. It includes multiple years of assignments (2022–2025) with full worked answers, proofs, and diagrams. The material aligns with Units 1 and 2 of the study guide and is useful for exam preparation, practice, and understanding key combinatorics concepts through step-...

This document contains fully worked solutions to Assignment 1 for Complex Analysis (MAT3705), It includes detailed step-by-step solutions on topics such as complex numbers, Cauchy-Riemann equations, analyticity, contour integration, and complex functions. The material spans multiple exam-style questions and provides clear derivations, making it suitable for revision and exam preparation. It also includes explanations of geometric interpretations and proofs of key theorems.

This document contains detailed solutions to Assignment 01 for the Abstract Algebra course MAT3702 at the University of South Africa (UNISA). It covers key topics such as functions and compositions, equivalence relations, permutations, subgroup proofs, homomorphisms, abelian groups, and group properties. The material follows the assignment structure and demonstrates step-by-step reasoning for each problem, making it useful for exam preparation and conceptual understanding

This document contains Assignment 01 for MAT3701 Linear Algebra III from the University of South Africa, including both the assignment questions and detailed worked solutions. It covers key topics such as vector spaces, subspaces, linear transformations, matrix similarity, characteristic polynomials, and diagonalization. The material is useful for exam preparation and practice, helping students understand proofs and computations commonly tested in the MAT3701 module.

This document contains fully worked solutions and memoranda for APM3712 Mechanics and Calculus of Variations, covering multiple tutorial letters and assignments. It includes detailed solutions on Lagrangian and Hamiltonian mechanics, Euler–Lagrange equations, isoperimetric problems, Noether’s theorem, and variational calculus, making it ideal for exam preparation and revision.

Ace your APM2616: Computer Algebra module with this comprehensive exam pack, designed specifically for UNISA students. This pack contains fully worked-out solutions and memos for Assignments 01–04 (2025), covering every topic in detail and showing the correct MuPAD code, syntax, and output as used in UNISA assessments.

All you need for MAT1512, assignments and exam preparations