This core mathematical course aims to provide an introduction to the fundamental mathematical concepts (functions, limits, continuity, derivatives and integrals). Computation of derivatives (sum, product, and quotient formulas, chain rule, and implicit differentiation), and application of derivatives to optimization problems and related rates of change problems will also be discussed. This course lays the foundation for more advanced studies in mathematics, physics, engineering, and other related subjects.
List of key topics taught
1. Functions
2. Limit and limit laws
3. Continuity
4. Derivatives and derivative function
5. Differentiation formulas
6. Trigonometric derivatives and chain rules
7. Implicit differentiation
8. Linear approximation and extreme values
9. Mean value theorem
10. Limit and infinity
11. Curve sketching
12. Optimization and Newton?s method
13. Antiderivatives
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Taken: AY 25 26
Grade: A
I found this course quite rigorous and difficult yet they do go slowly into nuances. It is very much steeped with proofs. Since this is intended for math students and we do LA1 side by side with this course I didnt find this too difficult but I do feel that the questions involved certain topics in the finals such as matricies which put the BDE students at a disadvantage but overall as a student with a math background I feel like I had to study quite a bit for it due to the proof like nature of this course. (It wasn’t real analysis level.) Workload is minimal and easy to manage probably quite easy to score a decent grade.January 27, 2026
