Browsing by Author "Somniso, M.N."
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Item Mathematics MAT 123F, Supplementary Examinations November 2024(University of Fort Hare, 2024-11) Somniso, M.N.; Ndiweni, O.This examination paper, MAT 123 F (SUPP 24) Mathematics (F), is a supplementary exam from the University of Fort Hare, administered in November 2024. The exam is 3 hours long and consists of 3 pages. It is internally examined by Mr. M. N. Somniso and moderated by Dr. O. Ndiweni. The total marks for the paper are 100, and candidates are instructed to answer all questions, with symbols carrying their usual meanings. The paper covers several key areas of mathematics: * **Systems of Linear Equations:** Includes solving systems using the Gauss-Jordan transformation method and Cramer's rule. * **Complex Numbers:** Features operations with complex numbers (addition, subtraction, division using the conjugate method), proving the commutative property of addition, and converting complex numbers to polar form. * **Multivariable Calculus:** Covers finding partial derivatives from first principles and computing various partial derivatives ($f_x, f_{xx}, f_{xy}, f_y, f_{yy}$). * **Differential Equations:** Involves solving differential equations by separating variables, finding particular solutions to initial value problems (IVPs), and identifying and solving homogeneous differential equations.Item Mathematics: MAT 121F, Degree Examinations November 2018(2018-11) Somniso, M.N.; Mthimunye, T.V.; Ngcibi, S.Item Mathematics: MAT 121F, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Somniso, M.N.; Mthimunye, T.V.; Ngcibi, S.Item Mathematics: MAT 121F, Supplementary Examinations November 2024(University of Fort Hare, 2024-11) Somniso, M.N.; Ndiweni, O.Item Mathematics: MAT 123F, Degree Examinations November 2018(University of Fort Hare, 2018-11) Somniso, M.N.; Mthimunye, T.V.; Ngcibi, S.Item Mathematics: MAT 123F, Degree Examinations October/November 2024(University of Fort Hare, 2024-11) Somniso, M.N.; Ndiweni, O.Item Mathematics: MAT 123F, Supplementary Examinations January 2019(University of Fort Hare, 2019-01) Somniso, M.N.; Mthimunye, T.V.; Ngcibi, S.