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Mathematics-1 (Calculus-1)
Semester: 1, Code: BCS-112, Credit Hours: 3
Course Contents
  1. Real and Complex Numbers
    1. Real Numbers
    2. Complex numbers
  2. Functions, Limit and Continuity of a function
    1. Functions
    2. Graphs
    3. Sequences
    4. Limit and Continuity of a function of one variable
  3. Differentiation-1
    1. Differentiation
    2. Product and Quotient Rules
    3. Tangent
    4. Normal
  4. Differentiation-II
    1. Chain Rule
    2. Implicit differentiation
  5. Application of Differentiation-1
    1. Roll’s and Mean Value Theorem
    2. Taylor’s Theorem
    3. Maclaurin’s Theorem
  6. Application of Differentiation-II
    1. Newton’s and Picard’s method and its application
    2. Maxima
    3. Minima
  7. Indeterminate forms
    1. L’Hospital’s Rule
    2. Application of L’Hospital’s Rule
  8. Integration
    1. Basic Integration
    2. Integration by identities
    3. Integration by substitutions
    4. Integration of trigonometric functions
    5. Integration by parts
  9. Application of Integration
    1. Area and Volume by integration
    2. Differential Equations (Separable variables techniques)
Prescribed Books
  1. Anton Howard, Calculus, John Wiley & Sons Inc, 1999.
  2. George B.Thomas, Ross L. Finney, Maurice D. Weir, Frank R. Giordano, CALCULUS, 10th Edition, Addison Wesley Publishing Company, 2002.

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