CALCULUS II
MATH 104
, Course Topics
Sequence
Series
Power Series
Definite Integral
Riemann Sum
Indefinite Integral
Techniques of Integration
Improper Integral
, Course Objective:
The course aim at exposing students to advance techniques to solve scientific
problems.
Learning Outcomes:
By the end of the course students should be able to:
•Define sequence and give examples
•Find the limit of sequences as n becomes large (
•Investigate the divergence of a sequence
•Discuss bounded and unbounded sequence and extended the idea to squeeze(sandwich) theorem.
•Investigate monotonic sequences (increasing, decreasing and their strictness)
•Determine the convergence of infinite series using partial fractions (telescoping series), Cauchy’s
integral, comparison (Basic and Limit form), Ratio and Root test
•Find power series representation of functions and interval of convergence of power series
•Define the Riemann integral (Riemann sum).
•Integrate trigonometric, exponential, polynomial and rational functions
•Integrate using partial fractions, substitution method and using reduction formulae
•Define and give examples of improper integrals of 1st, 2nd and 3rd kind
•Investigate the convergence of improper integrals.
Course Grading:
Attendance and Participation – 5% Test+ Quizzes+ Assignment+Presentation - 20%
Mid- semester Exam – 15% Final Examination – 60%
MATH 104
, Course Topics
Sequence
Series
Power Series
Definite Integral
Riemann Sum
Indefinite Integral
Techniques of Integration
Improper Integral
, Course Objective:
The course aim at exposing students to advance techniques to solve scientific
problems.
Learning Outcomes:
By the end of the course students should be able to:
•Define sequence and give examples
•Find the limit of sequences as n becomes large (
•Investigate the divergence of a sequence
•Discuss bounded and unbounded sequence and extended the idea to squeeze(sandwich) theorem.
•Investigate monotonic sequences (increasing, decreasing and their strictness)
•Determine the convergence of infinite series using partial fractions (telescoping series), Cauchy’s
integral, comparison (Basic and Limit form), Ratio and Root test
•Find power series representation of functions and interval of convergence of power series
•Define the Riemann integral (Riemann sum).
•Integrate trigonometric, exponential, polynomial and rational functions
•Integrate using partial fractions, substitution method and using reduction formulae
•Define and give examples of improper integrals of 1st, 2nd and 3rd kind
•Investigate the convergence of improper integrals.
Course Grading:
Attendance and Participation – 5% Test+ Quizzes+ Assignment+Presentation - 20%
Mid- semester Exam – 15% Final Examination – 60%
