UNIVERSITY OF SARGODHA

DEPARTMENT OF *MATHEMATICS*

COURSE OUTLINE Fall 2020

Course Tittle: *Calculus and Analytical Geometry*

Course Code: MATH-101

Credit Hours:* 03*

Instructor: *FARYAL ANJUM*

Email: [email protected]

DESCRIPTION & OBJECTIVES

To provide foundation and basic ground for calculus and analytical geometry background.

READINGS

**Recommended Books:**

**.Calculus and Analytic Geometry by George B. Thomas and Ross L. Finney, Addison Wesley; 10th Edition (1995) ISBN-10: 0201531747**

**REFERENCE MATERIAL: **

**. Calculus and Analytical Geometry by Swokowski, Olinick and Pence, 6th Edition, (1994), Brooks/Cole Publishers.**

**. Calculus by Howard Anton, Irl C. Bivens, Stephen Davis, Wiley; 10th Edition (2012), ISBN-10: 0470647728.**

**. Calculus with Analytic Geometry: Student Solution Manual by Howard Anton, Wiley; 5th Edition (1995). ISBN-10: 0471105899 **

CONTENTS

Real Numbers and the Real Line. Functions. Shifting Graps, Trigonometric Functions. Limits and Continuity. Tangent Lines. Differentiation Rules. Derivatives of Trigonometric Functions. The Chain Rule. Implicit Differentiation and Rational Exponents. Applications of Derivatives. Integration. Numerical Integration. Applications of Integrals. Transcendental Functions. Inverse Trigonomic Functions. Derivatives of Inverse Trigonometric Functions. Integrals. Hyperbolic Functions. Conic Sections, Parametrized Curves, and Polar Coordinates. Vectors and Analytic Geometry in Space.

COURSE SCHEDULE

Week |
## Topics and Readings |
## Dates |

1. |
Real Numbers and the Real Line,Functions and its type |
Oct 26- 30, 2020 |

2. |
Graps of functions,Shifting of graps |
Nov 02- 06, 2020 |

3. |
Trignometry Functions |
Nov 09- 13, 2020 |

4. |
Limit and continuity of function |
Nov 16- 20, 2020 |

5. |
Tangent lines ,Darivatives |
Nov 23- 27, 2020 |

6. |
Derivatives rules,Derivative of trigonometry functions |
Nov 30- Dec 04, 2020 |

7. |
The Chain rule,Implicit Diffrenciation and Rational Exponent |
Dec 07- 11, 2020 |

8. |
Application of Darivative,Inverse trigonometry functions |
Dec 14-18,2020 |

9. |
Darivative of inverse trigonometry functions |
Dec 21- 25, 2020 |

10. |
Winter Breaks |
Dec 28,2020-Jan 10, 2021 |

11. |
Integral,Integration by parts |
Jan 11- 15, 2021 |

12. |
Mid Term Exam |
Jan 18- 22,2021 |

13. |
Integration of trignometry functions |
Jan 25- 29, 2021 |

14. |
Numerical Integration, Applications of integrals |
Feb 01- 05, 2021 |

15. |
Transcendental functions,Hyperbolic function,Conic function |
Feb 08- 12, 2021 |

16. |
Parametrized Curve and Polar Coordinates |
Feb 15-19,2021 |

17. |
Vectors and Analytical Geometry in Space |
Feb 22-26,2021 |

18. |
Final Term Exams |
March 01-05,2021 |

RESEARCH PROJECT

*N/A*

ASSESSMENT CRITERIA

Mid exam: 30

Sessional: 20

Project: --

Assignments: 10

Presentation: 10

Final exam: 50

Total: 100

RULES AND REGULATIONS

*75% attendance is compulsory to appear in Final Term exam.*