Module Code :

MA1102R

IVLE

Module Title : 
Calculus 
Module Description : 
This is a course in singlevariable 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. 
Module Examinable : 


Exam Date : 
28112018 AM

Modular Credits : 
4 
Prerequisite : 
GCE ‘A’ Level or H2 Mathematics or H2 Further Mathematics or MA1301 or MA1301FC or MA1301X 
Preclusion : 
EE1401, EE1461, EG1401, EG1402, CE1402, MA1102, MA1312, MA1505, MA1505C, MA1507, MA1521, CEC students, COM students who matriculated on and after 2002 (including poly 2002 intake), FOE students 
Module Workload (ABCDE)* : 
31106 
Remarks : 
Nil 
* 
A: no. of lecture hours per week
B: no. of tutorial hours per week
C: no. of laboratory hours per week
D: no. of hours for projects, assignments, fieldwork etc per week
E: no. of hours for preparatory work by a student per week
 
Class  Type  Week Type  Week Day  Start  End  Room 
1  LECTURE  EVERY WEEK  TUESDAY  1000  1200  LT27,

1  LECTURE  EVERY WEEK  THURSDAY  1000  1200  LT27,

2  LECTURE  EVERY WEEK  MONDAY  1000  1200  LT27,

2  LECTURE  EVERY WEEK  WEDNESDAY  1200  1400  LT27,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
1  LABORATORY  ODD WEEK  TUESDAY  800  900  S170304,

Available in Tutorial Balloting [Iteration 2].

10  LABORATORY  ODD WEEK  MONDAY  1400  1500  S170304,

Available in Tutorial Balloting [Iteration 2].

11  LABORATORY  ODD WEEK  THURSDAY  1600  1700  S170304,

Available in Tutorial Balloting [Iteration 2].

12  LABORATORY  ODD WEEK  THURSDAY  1700  1800  S170304,

Available in Tutorial Balloting [Iteration 2].

13  LABORATORY  ODD WEEK  FRIDAY  800  900  S170304,

Not Available in Tutorial Balloting yet.

2  LABORATORY  ODD WEEK  MONDAY  1300  1400  S170304,

Available in Tutorial Balloting [Iteration 2].

3  LABORATORY  ODD WEEK  FRIDAY  1600  1700  S170304,

Available in Tutorial Balloting [Iteration 2].

4  LABORATORY  ODD WEEK  WEDNESDAY  800  900  S170304,

Available in Tutorial Balloting [Iteration 2].

5  LABORATORY  ODD WEEK  MONDAY  1500  1600  S170304,

Available in Tutorial Balloting [Iteration 2].

6  LABORATORY  ODD WEEK  FRIDAY  1500  1600  S170304,

Available in Tutorial Balloting [Iteration 2].

7  LABORATORY  ODD WEEK  FRIDAY  900  1000  S170304,

Available in Tutorial Balloting [Iteration 2].

8  LABORATORY  ODD WEEK  TUESDAY  1700  1800  S170304,

Available in Tutorial Balloting [Iteration 2].

9  LABORATORY  ODD WEEK  FRIDAY  1400  1500  S170304,

Available in Tutorial Balloting [Iteration 2].

1  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  TUESDAY  1200  1300  S170406,

Available in Tutorial Balloting [Iteration 2].

10  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  MONDAY  1700  1800  S160598,

Available in Tutorial Balloting [Iteration 2].

11  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1700  1800  S160304,

Available in Tutorial Balloting [Iteration 2].

12  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  TUESDAY  1600  1700  S170405,

Available in Tutorial Balloting [Iteration 2].

13  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  THURSDAY  900  1000  S160309,

Available in Tutorial Balloting [Iteration 2].

14  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1000  1100  S170611,

Available in Tutorial Balloting [Iteration 2].

15  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1600  1700  S170404,

Available in Tutorial Balloting [Iteration 2].

2  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  WEDNESDAY  1700  1800  S170611,

Available in Tutorial Balloting [Iteration 2].

3  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  1700  1800  S170404,

Available in Tutorial Balloting [Iteration 2].

4  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  800  900  S170611,

Available in Tutorial Balloting [Iteration 2].

5  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  TUESDAY  1500  1600  S170405,

Available in Tutorial Balloting [Iteration 2].

6  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  MONDAY  1200  1300  S170404,

Available in Tutorial Balloting [Iteration 2].

7  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  FRIDAY  900  1000  S170611,

Available in Tutorial Balloting [Iteration 2].

8  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  THURSDAY  800  900  S160309,

Available in Tutorial Balloting [Iteration 2].

9  TUTORIAL  3,4,5,6,7,8,9,10,11,12,13  MONDAY  900  1000  S160440,

Available in Tutorial Balloting [Iteration 2].


