Week 16: Infinite Series
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis. "Series" sounds like it is the list of numbers, but it is actually when we add them together.A finite series is a summation of a finite number of terms. An infinite series has an infinite number of terms and an upper limit of infinity.
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Course Material
- week 1: Functions, Domain and Range of Functions, The vertical line test, The limit of functions, Graph of functions, Definition of derivative.
- week 2: The derivatives and results of Differentiation. ( Exercise 2.8 and Exercise 3.1)
- Week 3: Derivative of logarithmic Exponential and Trigonometric Functions. ( Exercise 3.2 , Exercise 3.3)
- Week 4: Derivative of algorithmic, exponential and Trigonometry functions. Curve Sketching. Application of derivatives in Business and Economics.
- Week 5: Differential. Growth and decay model. ( page 224, Exercise 3.7 , Exercise 3.8)
- Week 6: Limits and Continuity. The derivatives
- Week 7: Definite and indefinite integrals. Techniques of integration. (page 372 to 382, Exercise 5.2))
- Week 8: Integration
- Week 9: Mid Term
- Week 10: Using integral in finding Areas
- Week 11: Area between curves
- Week 12: integration by part
- Week 13: Integral involving Logarithmic, Exponential and Trigonometric Functions.
- Week 14: Integration by Tables. Area under a curve and between curves
- Week 15: Functions of several variables, Partial derivatives and their applications to optimization.
- Week 16: Infinite Series
- Week 17: Differential Equation
- Week 18: Final term
- Chapters 18
- Department Noon Business School
- Teacher
Ms. Iqra Anum
