Week 05: Implicit differentiation, Inverse functions and their derivatives
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Course Material
- Week 01: Real number and real line, Functions and their graphs, Rate of change and limits.
- Week 02: Differential Calculus: The derivative as a function, Differential rules
- Week 03: The derivative as a rate of change, Derivatives of algebraic functions
- Week 04: Derivatives of exponential functions, Derivatives of trigonometric functions, The chain rule and parametric equations
- Week 05: Implicit differentiation, Inverse functions and their derivatives
- Week 06: Derivatives of inverse trigonometric functions, Derivatives of hyperbolic functions
- Week 07: Findings of horizontal and normal tangents
- Week 08: Extreme values of functions, The mean value theorem.
- Week 09: Mid Term Exam
- Week 10: Integral Calculus: Basic integration formulas, Integration by parts
- Week 11- Indefinite integrals and substitutions rules, Integration of rational functions by partial fractions
- Week 12- Improper integrals, The definite integrals
- Week 13- Substitutions and area between curves
- Week 14-Volume by slicing and rotation and rotation about the axis
- Week 15-Volume by cylindrical shells
- Week 16- Length of plane curves, Area of surface of revolution. Complex numbers
- Week 17-Addition, multiplication, subtraction and division of complex numbers and complex plane.
- Week 18- Final Term Examination
- Chapters 18
- Department Engineering Technology
- Teacher
Moavia Ameer
