Polar coordinates, Polar curves, Tangents to polar curves, Areas and arc length in polar coordinates.
Course Material
- Applications of integrals: Area between curves
- Average values & Volumes
- Techniques of integration: Integrals of elementary functions
- Integrals of hyperbolic and trigonometric functions
- Integrals of Logarithmic and Exponential functions
- Integration by parts
- Integrals using substitution and Integrals of partial fractions
- Improper integrals.
- Mid Term Exams
- Arc length and Area of a surface of revolution.
- Sequences and series, Convergence and Absolute convergence, Tests for convergence
- Integral test, P series test, Comparison test, Limit comparison test, Alternating Series test, Ratio test, Root test
- Power series, Convergence of power series, Representation of functions as power series
- Differentiation and Integration of power series, Taylor and McLauran series
- Conic section and Parameterized curves and polar coordinates
- Curves defined by parametric equations, Calculus with parametric curves, Tangents, Areas, Arc length
- Polar coordinates, Polar curves, Tangents to polar curves, Areas and arc length in polar coordinates.
- Final Term Exam
- Chapters 18
- Department Mathematics(SCB)
- Teacher
Muhammad Arshad Chaudhry
