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JIM101E/4 CALCULUS

COURSE MANAGER: Muhamad Fuad AbdullahE-mail: mfuad251@kedah.uitm.edu.myTel: 019 4730015

COURSE SYNOPSIS:

This course consist of four modules

Module 1 Number system and functions

Sets: a review of sets. Real numbers: absolute values and inequalities.Complex numbers: operations on complex numbers, equalities of complexnumbers, Argand diagrams and polar form. Functions: domains and ranges,one-to-one function, onto functions, composite functions, inverse functions, linear

and quadratic functions.

Module 2 Differentiation and its applications

Limits and continuity: concept of limit, definition of limits, one-sided limit, left-hand and right-hand limit, theorems, continuity at a point, continuity on intervalsand squeezing theorem. Differentiation: derivatives, rules of differentiation, d/dxnotations, higher order derivatives, rate of change, chain rule, differentiation oftrigonometric functions, logarithmic functions, exponential functions, implicitfunctions, parametric functions, inverse trigonometric functions and hyperbolicfunctions. Application of derivatives: mean value theorem, increasing and

decreasing, local extreme values, end point and absolute extreme values, max-min problems, concavity, point of inflections, vertical and horizontal asymptotes,and curve sketching.

Module 3 Integration and transcendental functions

Anti-derivatives: indefinite integral, definite integral, fundamental theorem ofcalculus, integration of transcendental functions. Techniques of integration:integration by simple substitutions, integration by parts, trigonometric

substitutions, partial fraction, integrals involving 22 xa , 22 xa + and 22 ax

Integration applications: area under a graph, area between two curves,

volumes by disks and washer method, volumes by cylindrical shells method.

Module 4 Conic section

Conic section: Circle, parabola, ellipse and hyperbola. Polar coordinates:curve and area of region in polar coordinates.

mailto:mfuad251@kedah.uitm.edu.mymailto:mfuad251@kedah.uitm.edu.my

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COURSE WORK

VIDEO CONFERENCING

Throughout the academic session 2009/10, there are five video conferencing

session will be conducted by the course manager and it is a must for all students.

Video conferencing 1Module 1 Number system and functions

Video conferencing 2Module 2 Differentiation and its applications

Video conferencing 3Module 3 Techniques of integration

Video conferencing 4Module 4 Conic section

Video conferencing 5Module 1 4

ASSIGNMENTS

There are two written assignments (handwriting)

Assignment 1: Based on modules 1 2Due date: 30 October 2010

Assignment 2: Based on modules 3 4Due date: 28 February 2011

Please download the assignment cover and send your assignments to thecourse manager at PPPJJ, USM no later than the due date. Late assignment willbe considered as zero mark. Your assignments will not be returned andplease photocopy for your own copy.

CONTINUOUS ASSESSMENT

A test will be given during the intensive course. Materials that will be tested:Modules 1 3 .

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INTENSIVE COURSE

An Intensive course will be held from November 2010 December 2010. Topicsto be covered: Module 3 Technique of Integrations.

FINAL EXAM

Final exam will be held on March or April 2011. Materials to be covered: Modules1 4 .

COURSE GRADE

Course grade will be based on the following:

Course work: Assignment 1 10%

Assignment 2 10%Continuous Assessment 20% 40%Final Exam: 60%

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Academic Planner

JIM 101CALCULUS

Academic Session 2010/2011

VIDEO CONFERENCE CLASS

Video

Conference

DATES

TimeRegional

Center A

Regional

Center B

1

2

3

4

5

The fourth (4) and fifth (5) video conference will be informed duringintensive course. Students need to fill in the date and time of videoconference sessions. Please refer to the video conference time tablefor the Academic Session 2010/2011 provided.