# Saulo M.

\$30/hour

Response time:

Master's
PhD

### Education

Pontifical Catholic of Rio de Janeiro (Master's)

University of North Carolina Chapel Hill (Ongoing) (PhD)

Hi, I'm a PhD student in Physical Oceanography at UNC working with differential forms and Fluid Dynamics. Most of it deals with calculus in higher dimensions and in exotic geometries (differential geometry). I obtained a BS in Physics (Brazil) and a MS in mathematical physics (mainly string theory) at Pontifical Catholic University of Rio de Janeiro and I have taught (for a class size of 5-10) since I was a freshman in college.

Two professors had a huge impact on my understanding of calculus by using intuition and diagrams/drawings to tackle simple problems. Usually that's what physicists do, try to understand concepts and laws with straightforward examples and then apply them to big problems. Thanks to that I focus on understanding what is happening (with the function, the derivative or the integral) even before I evaluate them. In other words, my approach is an attempt to see through the formulas, its implications. For instance, one have to learn when to use theorems or integration techniques, even though the two would work one of them is a faster tool. Becoming a professor (university) was always my goal because I'm able to break into pieces complicated concepts, sometimes with analogies. Most people don't get what a derivative is, thus I try to use everyday life examples.

Calculus is a beautiful part of Math, and because the vast majority of students can't see calculus around them (for instance, the rate of heat transfer in a stove is a function of time and then we can apply calculus to compute the amount of heat during an interval of time), they do not appreciate it. Of course life is not just calculus, I'm more than happy to teach elementary math or Pre-Calculus, they are even more important. Math is a ladder structure, there is no way one can understand calculus (or higher math for that matter) without trigonometry and algebra. Talking about functions, one of the problems most teachers/tutors have is to show how a shift in the variable will affect the function and that is key to understand the whole picture. One of the best examples is to ask someone to draw the function "f(x)=-|ln (x²)|". There are two ways to accomplish that. You either have to compute the first and second derivatives and then get the critical points and asymptotics (which requires calculus for precalculus students, an impossibility) or you could do it understanding the "hidden" symmetries of the "x²", the modular function and the logarithmic function. In trigonometry we don't need to memorize anything (despite what you may have heard), if you know pythagoras theorem (sin²x + cos²x=1), you already have everything you need, as most (if not all) relations can be derived using this magic tool.

Let me show you how Math is fun, and most importantly how you can find it everywhere.
Hi, I'm a PhD student in Physical Oceanography at UNC working with differential forms and Fluid Dynamics. Most of it deals with calculus in higher dimensions and in exotic geometries (differential geometry). I obtained a BS in Physics (Brazil) and a MS in mathematical physics (mainly string theory) at Pontifical Catholic University of Rio de Read more

##### Cancellation
24 hours notice required
Travels within 20 miles of Carrboro, NC 27510
Math:
Algebra 1, Algebra 2, Calculus, Elementary Math, Precalculus, Trigonometry
Elementary Education:
Elementary Math

Approved subjects are in bold.

### Approved subjects

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Master's
PhD

### Education

Pontifical Catholic of Rio de Janeiro (Master's)

University of North Carolina Chapel Hill (Ongoing) (PhD)

### Hourly rate

Standard Hourly Rate: \$30.00

Cancellation: 24 hours notice required

### Travel policy

Saulo will travel within 20 miles of Carrboro, NC 27510.