## Calculus I

## Class Schedule

#### CSB1Aq, CSB1Bq

- Tuesday – 0800-0950 – F141
- Wednesday – 1000-1050 – F021/Lab01 (CSB1Aq only)
- Wednesday – 1530-1620 – A218/Lab02 (CSB1Bq only)
- Thursday – 1430-1520 – F141

## Contents

Week | Date | Topic | ||
---|---|---|---|---|

1 | 9 Sept - 13 Sept 2013 | 1 | FUNCTIONS, LIMITS AND CONTINUITY | |

1.1 | Functions | |||

ο | Properties of functions | |||

ο | Operations on functions | |||

ο | Graphs (family) of functions | |||

2 | 16 Sept - 20 Sept 2013 | 1.2 | Limits | |

16 Sept (Malaysia Day) | ο | Introduction (An intuitive approach) | ||

ο | One sided limits and two sided limits | |||

ο | Infinite limits and limits at infinity | |||

ο | Computing limits | |||

3 | 23 Sept - 27 Sept 2013 | ο | Computing limits: End behaviour | |

1.3 | Continuity | |||

ο | Continuity at a point | |||

ο | Limits abd continuity of trigonometric functions | |||

Quiz 1 | ||||

4 | 30 Sept - 4 Oct 2013 | 2 | DIFFERENTIATION | |

2.1 | An Introduction to the Derivative: Tangents | |||

2.2 | The Definition of Derivative | |||

ο | Differentiation from the first principle | |||

ο | Differentiability and continuity | |||

2.3 | Techniques of Differentiation | |||

5 | 7 Oct - 11 Oct 2013 | 2.4 | "Derivatives of Trigonometric, Exponential and Logarithmic Functions" | |

2.5 | The Chain Rule | |||

Test 1 | ||||

14 Oct - 20 Oct 2013 | Semester Break | |||

15 & 16 Oct 2013 | Raya Qurban | |||

6 | 21 Oct - 25 Oct 2013 | 2.6 | Implicit Differentiation | |

2.7 | Linear Approximations and Differentials | |||

3 | APPLICATIONS OF DIFFERENTIATION | |||

3.1 | Related Rates | |||

7 | 28 Oct - 1 Nov 2013 | 3.2 | Analysis of Functions I: | |

ο | Intervals of increasing and decreasing functions | |||

ο | Concavity and inflection points | |||

Quiz 2 | ||||

8 | 4 Nov - 8 Nov 2013 | 3.3 | Analysis of Functions II: | |

5 Nov Awal Muharram | ο | Relative maxima and minima | ||

ο | Critical numbers | |||

ο | First and Second Derivative Test | |||

ο | Graphs of polynomial functions | |||

9 | 11 Nov - 15 Nov 2013 | ο | Graphs of rational functions (linear/linear) | |

3.4 | Maximum and Minimum Values | |||

ο | Absolute maxima and minima | |||

3.5 | Applied Maximum and Minimum Problems | |||

Quiz 3 | ||||

10 | 18 Nov - 22 Nov 2013 | 3.6 | Rolle's Theorem; Mean Value Theorem | |

4 | INTEGRATION | |||

4.1 | Antiderivatives | |||

4.2 | The Indefinite Integral of Algebraic Functions and Trogonometric Functions, Exponential and Logarithmic Functions | |||

Test 2 | ||||

11 | 25 Nov - 29 Nov 2013 | 4.3 | Integration by Substitution | |

4.4 | Sigma Notation | |||

4.5 | Area As a Limit and The Definite Integrals | |||

12 | 2 Dec - 6 Dec 2013 | ο | Properties of Definite Integrals | |

4.6 | The Fundamental Theorem of Calculus | |||

ο | First Fundamental Theorem of Calculus | |||

ο | The Second Fundamental Theorem of Calculus | |||

13 | 9 Dec - 13 Dec 2013 | ο | Evaluating Definite Integrals by Substitution | |

5 | APPLICATIONS OF INTEGRATION | |||

5.1 | Area Between Two Curves | |||

14 | 16 Dec - 20 Dec 2013 | 5.2 | Volume: Solids of revolution | |

ο | Volume by Disks Method | |||

Volume by Washers Method | ||||

5.3 | Volume by Cylindrical Shells Method | |||

Test 3 |

## Assessment

Final examination – One 3-hour paper : 60%Continuous assessments: 40%

- Test 1 : 10%
- Test 2 : 10%
- Test 3 : 10%
- Quizzes (3) : 6%
- Lab Assignments (2) : 4%

## Textbook

Stewart, J. (2012).

*Calculus (7th Edition)*. Brooks/Cole, Cengage Learning.