This course covers the fundamentals of mathematical analysis: construction of real numbers, topology of reals,convergence of sequences and series, limits, continuity, compactness, differentiability and mean value theorem,Taylor’s theorem. It shows the utility of abstract concepts and teaches an understanding and construction of proofs.
Class Schedule: Mon/Wed 12:30-1:45 (SSE-201)
Instructor Office Hours: TBA
TAs Office Hours: TBA
Grading Breakdown: Practice Problem Sets (Ungraded), Quizzes (30%) (6 with n-1), 2 x Midterms (20% each), Final Exam (30%).
Weekly Breakdown (To be updated weekly):
Week 01: Sets and Mathematical induction, Relations and their types, Equivalence relation and partition.
Week 02: Functions and their types, Direct and Pre images, Composition of functions.