Calculus for Engineering I

## Syllabus

Extra Information

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**A C T I V I T I E S**

# Syllabus

WEEK |
DATES |
TOPICS |
CHAPTERS |
---|---|---|---|

1 | 3-7 July | Cartesian Coordinate System, Lines, Circles, Functions, Graphs, Combining Functions, Polynomials, Rational Functions, Trigonometric Functions, Exponential Functions, Inverse Functions and Logarithms | P.2, P.3, P.4, P.5, P.6, P.7, 3.2 |

2 | 10-14 July | Limit of a Function, Limits at Infinity and Infinite Limits, Continuity | 1.2, 1.3, 1.4 |

3 | 17-21 July | Formal Definition of Limit, Tangent Lines, Derivative, Differentiation Rules, Chain Rule, Derivatives of Trigonometric Functions | 1.5, 2.1, 2.2, 2.3, 2.4, 2.5 |

4 | 24 -28 July | The Mean Value Theorem, Implicit Differentiation, Derivative of Inverse Function, Derivatives of Exponential and Logarithmic Functions, Derivative of Inverse Trigonometric Functions, Related Rates | 2.8, 2.9, 3.1, 3.3, 3.5, 4.1 |

5 | 31 July -4 August | Indeterminate Forms, L'Hopital's Rule, Extreme Values, Concavity and Inflections, Sketching the Graph of a Function, Extreme Value Problems, Linear Approximations | 4.3, 4.4, 4.5, 4.6, 4.8, 4.9 |

6 | 7 - 11 August |
Antiderivatives, Indefinite Integral, Sums and Sigma Notation, Areas as Limits of Sums, The Definite Integral, Fundamental Theorem of Calculus, Area of Plane Regions, Substitution, Integration by Parts |
2.10, 5.1, 5.2, 5.3, 5.5, 5.6, 5.7, 6.1 |

7 | 14-18 August | Integral of Rational Functions, Inverse Substitutions, Improper Integrals | 6.2, 6.3, 6.5 |