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:
Definition of derivative as slope or the rate of change
Rules of differentiation
Derivatives of trigonometric functions
Derivatives of inverse trigonometric functions
Derivatives of logarithmic functions
Derivatives of exponential functions
Implicit differentiation
Newton's method
Roots of polynomials
Maxima and minima
Taylor, and Maclaurin series
Definition of integral as area or inverse derivative
Methods of algebraic integration
Tables of integrals
Simpson's rule
Averages and RMS values
Determination of areas by integration
Determination of volumes by integration
Fourier series
First order of differential equations
Second order differential equations
Laplace transforms
Problems requiring differential equations
Recommended Books:
Differential Calculus by Shanti Narayan, Dr. P.K. Mittal
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)
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