mat123: Calculus 1

(Spring 2026)

@ BRAC University Bangladesh

[AMR] AHM Mahbubur Rahman

Sunday+Tuesday, 3:30pm (1hour20minutes)

AHM Mahbubur Rahman - Spring 2026

Books

• Calculus: Early Transcendentals - Anton, Bivens, Davis - 10th Edition (2013) - [978-1-11809240-8]
• Calculus - Michael Spivak - 4th Edition (2008) - [978-0-914098-91-1]
• Mathematical Analysis - Apostol - 2nd Edition (1974) - [0-201-00288-4]
• Mathematical Analysis - Apostol - 2nd Edition (1974) - [7-111-14689-1]

Videos

• There is only 1 video lecture
  • 3 - Delta-Epsilon Limits 1.mkv
  • even tho in .gitignore I typed quite a few lines

Course Content (Till MidTerm)

1. Functions, Bijection, Transformations,
2. Limits, delta-epsilon definition
3. delta-epsilon Limits
4. continuity
5. Squeeze Theorem
6. Greatest Lower Bound, Neighbourhoods, Extreme Value Theorem, Boundedness, Intermediate Value Theorem (IVT)
7. Derivates
8. Techniques of Differentiation, L'hopital
9. Fermat's Theorem, Rolle's Theorem, Mean-Value Theorem
10. Successive Differentiation / Higher-Order Differentiation / Generalising the n-th Derivative, Leibnitz's Theorem
11. Increasing/Decreasing Parts, Concavity, Maxima-Minima (Extrema)