Average values & Volumes
In trying to ind the volume of a solid we face the same type of problem as in inding
areas. We have an intuitive idea of what volume means, but we must make this idea precise
by using calculus to give an exact deinition of volume.
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
