Course Objectives:

This course in calculus is intended to develop practical skills in differential and integral calculus. As well, it is intended to illustrate various applications of calculus to technical problems.

Course outline:

1. Definition of derivative as slope or the rate of change

2. Rules of differentiation

3. Derivatives of trigonometric functions

4. Derivatives of inverse trigonometric functions

5. Derivatives of logarithmic functions

6. Derivatives of exponential functions

7. Implicit differentiation

8. Newton's method

9. Roots of polynomials

10. Maxima and minima

11. Taylor, and Maclaurin series

12. Definition of integral as area or inverse derivative

13. Methods of algebraic integration

14. Tables of integrals

15. Simpson's rule

16. Averages and RMS values

17. Determination of areas by integration

18. Determination of volumes by integration

19. Fourier series

20. First order of differential equations

21. Second order differential equations

22. Laplace transforms

23. Problems requiring differential equations

Recommended Books:

1. Differential Calculus by Shanti Narayan, Dr. P.K. Mittal

2. Differential and Integral Calculus, Vol. One by Richard Courant, Edward James McShane

Assessment Criteria:

Sessional: 20 

Mid-Term Exam:  30

Final-Term Exam: 50

Key Dates and Time of Class Meeting:

Program:: BS Physics

Class: 1st Semester(Regular) 

1. Tuesday (10:00 am - 11:00 am)
2. Wednesday (10:00 am - 11:00am)
3. Thursday (10:00 am -  11:00 am)

Commencement of Classes                                                   October 26, 2020 (Monday)

Mid Term Examination                                                            December 28 to January 01, 2021

Final Term Examination                                                          March 01 to 05, 2021

Declaration of Result                                                              March 12, 2021