Mathematics-1 (Calculus-1)

Semester: 1, Code: BCS-112, Credit Hours: 3

Course Contents

- Real and Complex Numbers
- Real Numbers
- Complex numbers

- Functions, Limit and Continuity of a function
- Functions
- Graphs
- Sequences
- Limit and Continuity of a function of one variable

- Differentiation-1
- Differentiation
- Product and Quotient Rules
- Tangent
- Normal

- Differentiation-II
- Chain Rule
- Implicit differentiation

- Application of Differentiation-1
- Roll’s and Mean Value Theorem
- Taylor’s Theorem
- Maclaurin’s Theorem

- Application of Differentiation-II
- Newton’s and Picard’s method and its application
- Maxima
- Minima

- Indeterminate forms
- L’Hospital’s Rule
- Application of L’Hospital’s Rule

- Integration
- Basic Integration
- Integration by identities
- Integration by substitutions
- Integration of trigonometric functions
- Integration by parts

- Application of Integration
- Area and Volume by integration
- Differential Equations (Separable variables techniques)

Prescribed Books

- Anton Howard, Calculus, John Wiley & Sons Inc, 1999.
- George B.Thomas, Ross L. Finney, Maurice D. Weir, Frank R. Giordano, CALCULUS, 10th Edition, Addison Wesley Publishing Company, 2002.

© 2013. Shaykh Zayed Islamic Center - University of Peshawar. Last Modified: March/05/2016