Week 4: Applications of Derivatives
Course Material
- Week 1: Preliminaries
- Week 2: Limits and Continuity
- Week 3: Derivatives
- Week 4: Applications of Derivatives
- Week 5: Integration
- Week 6: Applications of Integrals:Areas between Curves, Finding Volumes by Slicing, Volumes of Solids of Revolution—Disks and Washers. Cylindrical Shells
- Week 7: Application of Integrals:Lengths of Plan Curves, Areas of Surfaces of Revolution, Moments and Centers of Mass.
- Week 8:Transcendental Functions: Inverse Functions and Their Derivatives, Natural Logarithms, The Exponential Function, ax and logax
- Week 9: mid term exam
- Week 10:Growth and Decay, L'Hôpital's Rule, Relative Rates of Growth, Inverse Trigonometric Functions
- Week 11:Derivatives of Inverse Trigonometric Functions; Integrals. Hyperbolic Functions.
- Week 12:Conic Sections and Quadratic Equations. Classifying Conic Sections by Eccentricity. Quadratic Equations and Rotations.
- Week 13: Parameterizations of Plan Curves. Calculus with Parameterized Curves.
- Week 14:Polar Coordinates. Graphing in Polar Coordinates. Polar Equations for Conic Sections. Integration in Polar Coordinates.
- Week 15: Vectors and Analytic Geometry in Space, Vectors in the Plane Dot Products
- Week 16:Vector-Valued Function Cartesian (Rectangular) Coordinates and Vectors in Space. Dot Products. Cross Products. Lines and Planes in Space.
- Week 17: Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates
- Week 18: Final Exam
- Chapters 18
- Department CS & IT
- Teacher
Sabiha Mumtaz
