Calculus I
AY2020/2021 Semester 1
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
| AUs | 4.0 AUs |
| Categories | CoreMinorsBDE |
| Not Available As BDE/UE To Programme | CHEM(2011-onwards), EEE, ENG, ENG(EEE), MAT, PHY(2011-onwards) |
| Mutually Exclusive With | CY1601, MH110S, MH1800, MH1801, MH1802, MH1805, MH1810, MH1811 |
| Exam |
Available Indexes
| Mon | Tue | Wed | Thu | Fri | |||
|---|---|---|---|---|---|---|---|
| 930 | 70500 TUT (T_1) 0930-1030 Tue SPMS-TR+5 Wk2-13 | 70501 TUT (T_2) 0930-1030 Tue SPMS-TR+6 Wk2-13 | 70502 TUT (T_3) 0930-1030 Tue SPMS-TR+7 Wk2-13 | COMMON LEC (LE2) 0930-1130 Fri ONLINE | |||
| 1000 | |||||||
| 1030 | 70504 TUT (T_5) 1030-1130 Tue SPMS-TR+5 Wk2-13 | 70505 TUT (T_6) 1030-1130 Tue SPMS-TR+6 Wk2-13 | 70506 TUT (T_7) 1030-1130 Tue SPMS-TR+7 Wk2-13 | ||||
| 1100 | |||||||
| 1130 | 70508 TUT (T_9) 1130-1230 Tue SPMS-TR+5 Wk2-13 | 70509 TUT (T_10) 1130-1230 Tue SPMS-TR+6 Wk2-13 | COMMON LEC (LE2) 1130-1230 Thu ONLINE | ||||
| 1200 | |||||||
| 1230 | 70512 TUT (T_13) 1230-1330 Tue SPMS-TR+5 Wk2-13 | 70513 TUT (T_13) 1230-1330 Tue SPMS-TR+5 Wk2-13 | |||||
| 1300 | |||||||