1. CALCULUS 1 SMS 1102

2. SMS 1102 CALCUUS 1 Instructor : Suryadi Monday 11:30 C-2-01 Wednesday 8:30 C-2-01 Level YEAR 1 Prerequisite NIL

3. 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

4. References Textbook: “Thomas’ Calculus” by Thomas G.B.Jr., Finney R.L., Wier M.D., Giordano F.R., 11 th edition (Addison-Wesley) Other recommended books: 1.“Calculus and Analytical Geometry” by Thomas G.B.Jr. et al., 9 th edition (Addison- Wesley) 2.“Calculus with Analytical Geometry” by Repka J. Morton, 1993 3.“Calculus with Analytical Geometry” by Ellis R & Gulick D. 5 th Edition, Harcout Brace & Co, 1990

5. Course outline W:1 Introduction to Calculus W:2-5Limit Thomas’ Calculus, Chap 2 W:6 Continuity Thomas’ Calculus, Chap 2 W:7-9Derivative Thomas’ Calculus, Chap 3 W:10-14 Application of Derivatives Thomas’ Calculus, Chap 4 Q-1 FE-1 ME-1 Q-1

6. 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.

7. 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.

8. 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.

9. Administrative Assessment: 10% Assignments 20% Quizzes / Tests 30% Mid-term test 40% Final examination

10. 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

11. Total Student Learning Time (SLT) Face To Face Independent Learning Assessment Teacher Centered Learning Student Centered Learning 26.514.570.58.5 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 course3

12. ... suggestions welcome...

13. Using the technology

15. http://www.wolframalpha.com/