GM 105 Computer-based Calculus

Features

Prerequisite: A-level Mathematics or its equivalent.
Corequisite: MA102 or GM103. (In other words, this is for people who are currently taking a calculus course.)
Enrichment module for MA students.
No regular lectures/tutorials.
3 hours of interactive lab sessions per week.
Based on the package Calculus&Mathematica.

Brief description of syllabus

Natural logarithms and exponentials.
Instantaneous growth.
Derivatives.
Differential equations.

If you want to take this course

you'll not need to know how to use Mathematica.
you'll not need to have a strong background in algebra and trigonometry.
you'll need to be open-minded enough to realize mathematics is lots more than memorized calculation procedures.
you'll need someone else to work with least some of the time.
you'll need the desire to learn calculus.

To learn more about this package, take a look at the home page of Calculus&Mathematica.

Practical information

Timetable

There will be 2 groups, each group with a maximum of 25 students. All classes meet in the Statistics and Computation Lab., S14 #01-19.

GM 105 A	Dr. CHUA Seng Kiat	S13 #05-04	772-6898		Tue 12 and Fri 12
GM 105 B	Dr. Helmer ASLAKSEN	S14 #02-11	874-2746	aslaksen@math.nus.edu.sg	Wed 11 and Sat 11

You also have to attend one hour of tutorials each week.

A1	Dr. CHUA	Fri 10
A2	Dr. CHUA	Fri 1
B1	Dr. ASLAKSEN	Wed 1
B2	Dr. ASLAKSEN	Fri 11

The lab is also reserved for GM 105 students on Wed and Fri from 2 to 5. You can also feel free to use the lab during the times for the other tutorials.

Registration

Assignments

You will have to hand in four computer-based assignments, and there will be a pen and paper test on Sat 14/9 1-2 p.m. in LT26. The exam will also be pen and paper. The exam will count 60%, the test will count 20% and the assignments 20%.

We want you to hand in assignments every week in order to get more practice, but we will only mark four of them. The assignments are due at the first lecture of the following week, and should be handed to the instructor on a floppy. We will put example solutions on the server in a folder called S:\gm105\cm\solution.

15-20/7	100
22-27/7	101
29/7-3/8	101
5/8-10/8	102		1a, 2b, 3e, 4a, 6a
12/8-17/8	103	Assignment 1	1a, 1b, 3a, 4b, 6d
19/8-24/8	104		3e, 5e, 6d, 7c, 8a
26/8-31/8	105	Assignment 2	1b, 3a, 5b, 8a, 9a
2/9-7/9	Break
9/9-14/9	106	Test 14/9 1-2 p.m. LT26
16/9-21/9	106		3a, 4a, 5d, 6a, 6b
23/9-28/9	107	Assignment 3	1b, 1c, 2a, 3a, 7a
30/9-5/10	108		3a, 4a, 5a, 5b, 9a
7/10-12/10	109	Assignment 4	2a, 3d, 4d, 4e, 6a
14/10-19/10
21/10-26/10
28/10-2/11	103	Exam on 30/10

Computer stuff

If you want to look at the notebooks at home, you can get the mathreader program from S:\gm105\cm\mathrdr on the S drive. You also have to install the fonts from S:\gm105\cm\fonts.

To save your work, it's better to save to C:\tmp, and then copy to your floppy at the end of your session. When you want to load your from the floppy, it turns out to be faster to first copy to C:\tmp, and then open the notebook from there.

Helmer Aslaksen
Department of Mathematics
National University of Singapore
aslaksen@math.nus.edu.sg