Exam2019Proposed solution included

MATS 2108 MATHEMATICAL METHODS Exam 2019

MATS 2108: A single-page calculus examination dated 25/07/2019, time allowed 2 hours, with the top of the scan cropped so the institution name and full course code are not legible (only the fragment 'BA 08' and the date/time survive). Four questions of 17.5 marks each: definitions of function/injective/surjective plus statements of the Maximum-Minimum Value, Taylor, and Lagrange Remainder theorems; evaluating five limits (including binomial-type limits converging to e and e^2); computing derivatives from the definition/first principles for a cubic, sin x, a rational function, and a quadratic; and integration, including a substitution integral, a definite integral, the fundamental theorem of calculus, and the area between two parabolas x=y^2 and x=2-y^2 on [-1,1].

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University of Bamenda

Faculty of Science - FS

MATS21082019

MATHEMATICAL METHODS

Exam · First Semester · Level 200

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a.
Define the following terms: i. Function ii. Injective functions iii. Surjective functions b. State the following theorems: i. Maximum and Minimum Value Theorem ii. Taylor Theorem iii. Lagrange Remainder Theorem

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