MAT 201 Calculus I Exam 2021
About this paper
MAT 201: University of Buea, First Semester Examination (02-02-2021): definitions of interior/limit/isolated points, supremum, continuity concepts; theorem statements; Fibonacci closed-form induction proof; sup(S+T)=supS+supT; supremum of an alternating sequence; interior/limit-points/closure/boundary of a set; absolute-value inequality; epsilon-delta limit proofs; indeterminate-form limit evaluation; piecewise continuity discussion; uniform continuity of x^2; IVT application; tan x>x; increasing/decreasing intervals.
Opens this paper in the app on your phone.
University of Buea
Faculty of Science - FS
Computer Science - CSC
Calculus I
Exam · First Semester · Level 200
From this paper
- 1.
Let R denote the set of real numbers and S ⊂ R. Define the following: (i) A mathematical statement, (ii) An interior point of S, (iii) The supremum of S, (iv) A limit point of S, (v) An isolated point of S, (vi) f is continuous at a point a ∈ S, (vii) f is left continuous at a point a ∈ S, (viii) f has a jump discontinuity at a ∈ S, (ix) f is uniformly continuous on S. (9mks)
- 2.
State the following theorems: (i) The completeness axiom of real numbers, (ii) The Heine– Borel theorem, (iii) The Sandwich theorem, (iv) The min-max theorem, (v) The intermediate value theorem, (vi) The mean value theorem. (6mks)
At a glance
- Course code
- MAT201 (MAT 201)
- Type
- Exam
- Year
- 2021
- Level
- Level 200
- Semester
- First Semester
- Proposed solution
- Included
Where it's from
University
University of BueaFaculty
Faculty of Science - FSDepartment
Computer Science - CSCMathematics - MATPhysics - PHY
Read MAT201 2021 in Shoracy.
- Every page, with zoom for diagrams and small print
- The proposed solution, one tap away
- Stays on your phone after the first open, even offline
Don't have the app yet?