ModsMH1100
Calculus I
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
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 |
| Exam | 5 December 2024, 1.00 pm - 03.00 pm |
| Grade Type | N/A |
| Maintaining Dept | MATH(SPS) |
| Prerequisites | |
| Mutually Exclusive With | CY1601, , , , MH1802, MH1805, MH1810, MH1811 |
| Not Available To Programme | N/A |
| Not Available To All Programme With | N/A |
| Not available as Core for programmes | N/A |
| Not Available as PE for programmes | N/A |
| Not Available as BDE/UEs for programmes | CEE 1, CHEM(2011-onwards), EEE, EEE 1, ENE 1, ENG, ENG(EEE), MAT, ME 1, PHY(2011-onwards) |
| Not Offered To | N/A |
Total hours per week: 4 hrs
Available Indexes
| Mon | Tue | Wed | Thu | Fri | |||
|---|---|---|---|---|---|---|---|
| 930 | 70181 TUT (T1) 0930-1020 Tue SPMS-TR+5 Wk2-13 | 70182 TUT (T2) 0930-1020 Tue SPMS-TR+6 Wk2-13 | COMMON LEC (LE) 0930-1020 Thu LT27 | COMMON LEC (LE) 0930-1120 Fri LT23 | |||
| 1000 | |||||||
| 1030 | 70183 TUT (T3) 1030-1120 Tue SPMS-TR+5 Wk2-13 | 70184 TUT (T4) 1030-1120 Tue SPMS-TR+11 Wk2-13 | |||||
| 1100 | |||||||
| 1130 | 70187 TUT (T7) 1130-1220 Wed SPMS-TR+4 Wk2-13 | 70188 TUT (T8) 1130-1220 Wed SPMS-TR+7 Wk2-13 | |||||
| 1200 | |||||||
| 1230 | 70185 TUT (T5) 1230-1320 Tue SPMS-TR+3 Wk2-13 | 70186 TUT (T6) 1230-1320 Tue SPMS-TR+5 Wk2-13 | |||||
| 1300 | |||||||
| 1330 | 70189 TUT (T9) 1330-1420 Wed SPMS-TR+3 Wk2-13 | 70190 TUT (T10) 1330-1420 Wed SPMS-TR+4 Wk2-13 | |||||
| 1400 | |||||||
| 1430 | |||||||
| 1500 | |||||||
| 1530 | |||||||
| 1600 | |||||||
| 1630 | 70191 TUT (T11) 1630-1720 Wed SPMS-TR+7 Wk2-13 | 70192 TUT (T12) 1630-1720 Wed SPMS-TR+5 Wk2-13 | |||||
| 1700 | |||||||