Taken: AY11/12 Sem 1
Faculty of Science, Department of Mathematics
A core module for Maths majors. It is not easy for amateurs in Maths. H2 Maths is the pre-requisite. Must invest time and strong inclination of mathematical and logical thinking. Persistence and perseverance are required. Lecturer was Mr Wang Fei, the best teaching assistant in the dept. Dr Goh Say Song and him are very open for consultations. It is a module that build up on what u learn. Do not drag so long such that u forget to clear all doubts. But u must practice to tackle exam-style qns better. There are proving qns based on theorems learnt, that is 15% of the final paper this sem. There is no need to write cheat sheet, as formula and theorems would be provided for the exam.
Time: 22 lectures (w/ 2 e-learning lects due to sci e-learning wk), 2 revision lects, 11 tuts, 5 1 h Maple lab
Textbook:
Topics
- Functions
- Limits (Precise and Intuitive)
- Continuous Functions
- Differentiation
- Application of Differentiation
- Integrals
- Inverse functions and techniques of integration
- Applications of integration (Area, Volume using Cylindrical Shell and Washer methods, Surface Area, Arc length)
- Ordinary Differential Equations (1st order)
Assessment: 15% 5 assignments due on Weeks 5, 7, 9, 11, 13
5% Maple quiz due reading wk
20% Mid term
60% Final
Note: Is like 2 times of calculus and function of H2 maths.
