UFH Mathematics
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Browsing UFH Mathematics by Author "Mahlasela, Z."
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Item A Practical Approach to Integral Calculus: MAT 123, Supplementary Examinations November 2024(University of Fort Hare, 2024-11) Mahlasela, Z.; Ndiweni, O.Item Advanced Applied Mechanics: MAQ 521, Degree Examinations November 2018(University of Fort Hare, 2018-11) Mahlasela, Z.; Lubczonok, G.Item Advanced Mathematics Methods: MAP 511, Honours Examinations June 2023(University of Fort Hare, 2023-06) Mahlasela, Z.; Dukuza, K.Item Computational Methods: MNU 122, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Nxala, B.E.; Mahlasela, Z.Item Integral Calculus (A Theoretical Approach): MAT 121, Degree Examinations November 2018(University of Fort Hare, 2018-11) Ndiweni, O.; Mahlasela, Z.Item Integral Calculus (A Theoretical Approach): MAT 121, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Ndiweni, O.; Mahlasela, Z.Item Introduction to Analytical Methods: MAP 221, Degree Examinations October/November 2024(University of Fort Hare, 2024-10) Katywa, N.; Mahlasela, Z.Item Introduction to Analytical Methods: MAP 221, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Mahlasela, Z.; Childs, S.J.Item Introduction to Analytical Methods: MAP 221, Supplementary Examinations November 2024(University of Fort Hare, 2024-11) Katywa, N.; Mahlasela, Z.This supplementary examination paper for MAP 221, "Introduction to Analytical Methods," is a 3-hour assessment worth 100 marks. The paper requires students to answer all questions, covering various topics in analytical mathematics. Question 1 focuses on differential equations, requiring students to define a differential equation, evaluate statements about their properties (like homogeneity, exactness, and linearity), and solve an initial value problem describing a real-world scenario. It also includes solving different types of second-order differential equations. Question 2 is dedicated to Laplace transforms. Students are asked to prove fundamental properties related to Laplace transforms and to find the Laplace transform of specific functions, including those defined piecewise. Question 3 covers Fourier series and special functions. It requires students to analyze a given trigonometric function, including sketching its graph and finding its corresponding Fourier cosine series to evaluate a specific infinite series. Additionally, students must demonstrate properties of the Gamma function and evaluate certain integrals involving Gamma and Beta functions. The examination aims to comprehensively assess students' analytical skills and their ability to apply various mathematical methods.Item Linear Algebra: MAT 223, Supplementary Examinations November 2024(University of Fort Hare, 2024-11) Ngcibi, S.; Mahlasela, Z.Item Part Differential Equation: MAP 321, Degree Examinations November 2018(University of Fort Hare, 2018-11) Mahlasela, Z.; Lubczonok, G.Item Partial Differential Equations: MAP 321, Degree Examinations October/November 2024(University of Fort Hare, 2024-11) Mahlasela, Z.; Dukuza, K.Item A Practical Approach to Differential Calculus: MAT 112, Degree Examinations June 2023(University of Fort Hare, 2023-06) Mahlasela, Z.; Ndiweni, O.Item A Practical Approach to Differential Calculus: MAT 122, Degree Examinations November 2018(University of Fort Hare, 2018-11) Nxala, B.E.; Mahlasela, Z.Item A Practical Approach to Differential Calculus: MAT 122, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Nxala, B.E.; Mahlasela, Z.Item A Practical Approach to Integral Calculus: MAT 113, Degree Examinations June 2023(University of Fort Hare, 2023-06) Appiah, I.K.; Mahlasela, Z.Item A Practical Approach to Integral Calculus: MAT 123, Degree Examinations November 2018(University of Fort Hare, 2018-11) Appiah, I.K.; Mahlasela, Z.Item A Practical Approach to Integral Calculus: MAT 123, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Appiah, I.K.; Mahlasela, Z.Item Special and Orthogonal Functions: MAP 311, Degree Examinations June 2023(University of Fort Hare, 2023-06) Mahlasela, Z.; Dukuza, K.Item A Theoretical Approach to Differential Calculus: MAT 111, Degree Examinations June 2023(University of Fort Hare, 2023-06) Ndiweni, O.; Mahlasela, Z.