MA1102R Calculus

Module Description
This is a course in single-variable calculus. We will introduce precise definitions of limit, continuity, the derivative and the Riemann integral. Students will be exposed to computational techniques and applications of differentiation and integration. This course concludes with an introduction to first order differential equations. Major topics: Functions, precise definitions of limit and continuity. Definition of the derivative, velocities and rates of change, Intermediate Value Theorem, differentiation formulas, chain rule, implicit differentiation, higher derivatives, the Mean Value Theorem, curve sketching. Definition of the Riemann integral, the Fundamental Theorem of Calculus. The elementary transcendental functions and their inverses. Techniques of integration: substitution, integration by parts, trigonometric substitutions, partial fractions. Computation of area, volume and arc length using definite integrals. First order differential equations: separable equations, homogeneous equations, integrating factors, linear first order equations, applications.

Lecture Topics
- Limits
- Continuous Function
- Derivatives
- Applications of Differentiation
- Integrals
- Transcendental Function
- Techniques of Integration
- Applications of Integration
- First Order Differential Functions

This is the first few modules you will take as a freshmen. Most likely you will be taking with MA1101R. This module is not say very difficult. The prof will slowly ease you into university life.

Workload
2 two hours lecture
I was taught by A/Prof Goh Say Song. Prof Goh is a very passionate lecturer. He is very patient and is easily one of the best lecturer you get in year 1. He uses transparency slides and OHP to teach the class.

One two-hours tutorial
Tutorials are hard. At least for me. Lots of work to do. I spent quite a lot of late nights doing those tutorials.

Supplementary 
Prof Goh will spam A LOT of extra questions and work for you to do...

Assessment 
15% 5 homework assignment
5% online laboratory assessment
20% 85 minutes Term Test
60% 2 hour Final Exam

Prof will provide a helpsheet for the final exam.

Personal
I did most of the tutorials and extra questions. The day before the papers I was pretty confident that I realised I don't have anything else to study. So i guess it really comes down to the day itself. Don't be too tensed. Be confident with your knowledge and go solve those annoying integration and differential equations.  :)

Work load for this module is quite heavy.

Extra notes to readers: I have lecture notes, tutorials, past year papers. You can download them from my dropbox.