Introduction to Analytical Methods: MAP 221, Supplementary Examinations November 2024
| dc.contributor.author | Katywa, N. | |
| dc.contributor.author | Mahlasela, Z. | |
| dc.date.accessioned | 2025-07-02T07:18:50Z | |
| dc.date.available | 2025-07-02T07:18:50Z | |
| dc.date.issued | 2024-11 | |
| dc.description | Introduction to Analytical Methods: MAP 221, Supplementary Examinations November 2024 | |
| dc.description.abstract | 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. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11837/2942 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Fort Hare | |
| dc.title | Introduction to Analytical Methods: MAP 221, Supplementary Examinations November 2024 | |
| dc.type | Learning Object |