# Calculus for Engineers, Jul-Nov 2024

### Credits 9 credits

### Instructor Sivaram Ambikasaran,

### Classroom NAC1 \(323\) (also called as KCB \(323\))

### Timings A slot; M: 8AM, T: 1PM, Th: 11AM, F: 10AM

### Mailing list

You can find on google groups when you login via smail. Search for "2024_cfe" or "2024_cfe-group@smail.iitm.ac.in". Click on it and request to be added to the group.
### Exams and Grading

**Evaluation** |
**Points** |
**Date** |

Assignments |
20 |
Every fortnight |

Quiz-I |
20 |
August \(26\) |

Quiz-II |
20 |
October \(7\) |

EndSem |
40 |
November \(11\) |

### Assignments, Lecture drafts and Reading materials

Click here
- All assignments need to be submitted before Sunday midnight.
- Students need to submit their assignments through the dropbox link provided.
- The name of the zipped file (this should contain the LaTeX/TeX source file, pdf, and code) for submitting your assignment should be as follows: da02b034_5.zip (or .rar or .tar), where da02b034 is your roll number and 5 implies that you are submitting your fifth assignment.
- Any copying on assignments will result in a zero on the assignment.
- The grader will expect you to express your ideas clearly, legibly, and completely, often requiring complete English sentences rather than merely just a long string of equations or unconnected mathematical expressions. Clear exposition is a crucial ingredient of technical communication. Clarity of thought and presentation is more important in mathematics & sciences than any other field. The only way to master exposition is by repeated practicing.

### Syllabus

- Sets, Countable and Uncountable sets, Principle of Mathematical Induction
- Review of single variable calculus
- Limits and Continuity, Differentiation, Integration

- Review of multi-variable calculus
- Partial derivatives, Chain rules, Directional derivatives, Taylor's theorem, Higher dimensional integrals, Volume of solid of revolution, Triple integrals in various coordinates, Vector integrals, Conservative fields, Green's theorem, Curl, Divergence, Stokes' theorem, Gauss divergence theorem

### Textbooks

- E. Kreyszig, Advanced Engineering Mathematics, 10th Ed., John Willey & Sons.
- G. Strang, Calculus, Cambridge Press, 3rd ed.
- G.B. Thomas Jr., M.D. Weir and J.R. Hass, Thomas Calculus, Pearson Education, 2009.
- J.E. Marsden, A.J. Tromba, A. Weinstein, Basic Multivariable Calculus, Springer Verlag, 1993.

### Math Poor Jokes

- What is the volume of food you eat which has a radius 'z' and height 'a'?
**Answer**: \(\pi z^2 a = pi \cdot z \cdot z \cdot a\)

More Math PJ's to follow.

For other PJ's