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 : 
09052018 AM

Modular Credits : 
4 
Prerequisite : 
GCE 'A' LEVEL MATHEMATICS OR H2 MATHEMATICS OR MA1301 OR MA1301FC OR MA1301X 
Preclusion : 
EE1401, EE1461, EG1401, EG1402, CE1402, MA1102, MA1312, MA1505, MA1505C, MA1507, MA1521, MA1511, 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 
SL1  LECTURE  EVERY WEEK  MONDAY  800  1000  LT28,

SL1  LECTURE  EVERY WEEK  THURSDAY  800  1000  LT28,


Class  Type  Week Type  Week Day  Start  End  Room 
Iteration 
B01  LABORATORY  ODD WEEK  MONDAY  1400  1500  S170304,

Available in Tutorial Balloting [Iteration 2].

B02  LABORATORY  ODD WEEK  THURSDAY  1200  1300  S170304,

Available in Tutorial Balloting [Iteration 2].

B03  LABORATORY  ODD WEEK  THURSDAY  1300  1400  S170304,

Available in Tutorial Balloting [Iteration 2].

T01  TUTORIAL  EVERY WEEK  TUESDAY  1000  1200  S160431,

Available in Tutorial Balloting [Iteration 2].

T02  TUTORIAL  EVERY WEEK  WEDNESDAY  1200  1400  S160431,

Available in Tutorial Balloting [Iteration 2].

T03  TUTORIAL  EVERY WEEK  FRIDAY  1200  1400  S160431,

Available in Tutorial Balloting [Iteration 2].


