**Syllabus**

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

1 | 10 - 14 February |
Matrices, equality of matrices, transpose of a matrix, special matrices |

2 | 17 - 21 February |
Matrix addition and scalar multiplication, subtraction of matrices, matrix multiplication |

3 | 24 - 28 February |
Systems of linear equations, Solving systems of equations by elimination method |

4 | 02 - 06 March |
Solving a system by reducing matrices, Row reduced echelon form |

5 | 09 - 13 March |
Determinants, Inverse of a matrix |

6 | 16 - 20 March. |
Cramer’s rule |

7 | 23 - 27 March |
Anti-derivatives and Indefinite Integrals, Techniques of Integration |

8 | 30 March - 03 April |
Method of Substitution, Integration by Rational Fractions |

9 | 06 - 10 April |
Integration by Parts |

10 | 13 - 17 April |
Areas between curves and applications |

11 | 20 - 24 April |
Functions of Several Variables |

12 | 27 April - 01 May |
Partial Derivatives |

13 | 04 - 08 May |
Relative Extrema |

14 | 11 - 15 May |
Lagrange Multipliers |