CALCULUS 1
SMS 1102
SMS 1102 CALCUUS 1
Instructor : Suryadi
Monday 11:30 C-2-01
Wednesday 8:30 C-2-01
Level YEAR 1
Prerequisite NIL
COURSE OBJECTIVE
Calculate and prove limits of the elementary
mathematical functions and the combinations
Determine continuity of the elementary
mathematical functions and the combinations
Calculate derivatives of the elementary
functions and the combinations
Analyze mathematical functions in terms of its
extreme points and certain specific behavior
References
Textbook:
“Thomas’ Calculus” by Thomas G.B.Jr., Finney
R.L., Wier M.D., Giordano F.R., 11th edition
(Addison-Wesley)
Other recommended books:
1.
2.
3.
“Calculus and Analytical Geometry” by
Thomas G.B.Jr. et al., 9th edition (AddisonWesley)
“Calculus with Analytical Geometry” by
Repka J. Morton, 1993
“Calculus with Analytical Geometry” by Ellis R
& Gulick D. 5th Edition, Harcout Brace & Co,
1990
Course outline
W:1
W:2-5
Thomas’ Calculus, Chap 2
Q-1
W:6
Continuity
Thomas’ Calculus, Chap 2
ME-1
W:7-9
Q-1
Introduction to Calculus
Limit
Derivative
Thomas’ Calculus, Chap 3
W:10-14 Application of Derivatives
FE-1
Thomas’ Calculus, Chap 4
Course outline
LIMIT
Limit from graph and by substitution. Limit laws. Definition
Limits. Proving Limit. One-sided limits. Limits at infinity.
INFINITE LIMIT
Infinite limit. Vertical & horizontal asymptote. Graphing
rational function. Continuity at a point and continuous
functions.
CONTINUITY
Definition of continuity at a point. Continuity test.
Continuous functions. Composite of continuous functions.
Course outline
DERIVATIVES
Derivative as a function. Definition of one-sided derivatives.
Differentiation rules. Derivatives as a rate of change.
Derivatives of trigonometry function. The chain rule and
parametric equations. Derivatives of a composite function
outside-inside rule. Implicit differential. Linearization and
differential.
Course outline
APPLICATION OF DERIVATIVES
Extreme value theorem. First derivative theorem for local
extreme values. Critical points. Mean value theorem. First
and second derivative test. Concavity. Applied optimization
problems. Example from business and industry, math and
physics, and economics. Newton’s method. Procedure
applying Newton’s method convergence. Modeling and
Optimization.
Administrative
Assessment:
•
•
•
•
10% Assignments
20% Quizzes / Tests
30% Mid-term test
40% Final examination
Administrative
1. Two quizzes:
 Quiz 1 / tests – week 5/6 – (in class)
 Quiz 2 / tests – week 10/11 – (in class)
2. Mid-term test and Final exam:
Scheduled by the Registrar
Comprehensive on everything covered in class
3. Absence from class/quizzes/mid/final:
University policies apply
4. Grading: University definitions apply
Total Student Learning Time
(SLT)
Face To Face
Teacher
Centered
Learning
Student
Centered
Learning
Independent
Learning
Assessment
26.5
14.5
70.5
8.5
22%
12%
59%
7%
Total Hours of Learning (THoF)
120
Conversion of SLT into tentative credit (THoF / 40)
3
Credit to be assigned to the course
3
... suggestions welcome ...
Using the technology
Using the technology
Using the technology
http://www.wolframalpha.com/