*Differential Calculus with Applications to Commerce and Social Sciences*

**Instructor**: Ida Karimfazli

**Lectures**: Tues. and Thurs. 2-3:30pm in LSK 200

**Office hours**: Tues. 3:30-5 in LSK 300C, Wed. 4-5:30 LSK 300C

All sections of Math 104/184 share a Piazza page for course discussions.

Please refer to the common website for general info about this course.

Make sure you checkout the learning goals every week and take a look at the suggested problems.

Looking for a place to study with your friends and have tutors around to answer your questions? Check out Math Learning Centre!

**Looking for extra motivation?
**Jim Simons: A rare interview with the mathematician who cracked Wall Street

A bit more about Jim Simons from wiki:

*“James Harris “Jim” Simons (born 1938) is an American mathematician, hedge fund manager, and philanthropist. He is a code breaker and studies pattern recognition.*

Simons was a professor of mathematics at Stony Brook University and was also the former chair of the Mathematics Department at Stony Brook.

In 1982, Simons founded Renaissance Technologies, a private hedge fund investment company based in New York with over $25 billion under management. Simons retired at the end of 2009 as CEO of one of the world’s most successful hedge fund companies. Simons’ net worth is estimated to be $14 billion.”

Simons was a professor of mathematics at Stony Brook University and was also the former chair of the Mathematics Department at Stony Brook.

In 1982, Simons founded Renaissance Technologies, a private hedge fund investment company based in New York with over $25 billion under management. Simons retired at the end of 2009 as CEO of one of the world’s most successful hedge fund companies. Simons’ net worth is estimated to be $14 billion.”

On demand equation, Nike and sneakerheads: The secret sneaker market â€” and why it matters

In the class, we always assume that demand equation is a fixed given relation between demand quantity and price. This talk presents a very interesting example on how in reality the relation between price and demand quantity is far from written in stone… Can companies design/strategize towards a certain demandÂ equation?

**Supplementary notes:
Week12:
**More on Taylor polynomials, Practice problem on asymptotes

**On polynomial approximations**

Week11:

Week11:

**Play with Taylor Polynomials!**

**Illustration of limit of rational functions at infinity**

Week9:

Week9:

**Introductory slides on sketching functions**

Week8:

Week8:

**Slides on local & absolute min & max**

Week7:

Week7:

**On growth rates and continuous compounding**

Week6:

Week6:

Week5:

Week5:

*Exercises on implicit differentiation (solutions)*

**,**The power rule

**Short interesting read on average cost, revenue and profit of iPhone 5**

Week4:

Week4:

**Examples on continuity and tangent line**

Week2:

Week2:

**Week1:**

Illustration of the relationship between average and instantaneous rates of change(33-sec video)

**Notes on $latex displaystyle lim_{x to 0} sin(1/x)$**

**Week0:**

Examples on logarithms