Many disciplines such as physics, epidemiology, medicine and economics, as noted in the Calculus textbook by Robin Gottlieb, utilize calculus to predict and model rates of change of variables of particular interest. Our presentation will make use of these same methods to explore how both investors and borrowers can compute payments on mortgages and analyze the efficiency of these different payment options. Two mathematical tools we will employ to do this are geometric sums from our second unit, and differential equations from the unit we have just concluded. Both geometric sums as well as differential equations will allow us to develop a further understanding about the functions and situations we are exploring; they will also give us a context for which we can practice these course topics.

Never go in debt! In our presentation, we will overview important concepts such as APR and review how companies calculate credit card debt. We will demonstrate the importance of geometric series in calculating credit card debt so you, as a consumer, can make an informed decision on selecting credit card policies.

We will be looking at credit card interest accumulation and the amount of time it takes to pay down debt. These aspects of credit card debt will be analyzed using geometric series.

Credit card companies are almost as bad as tobacco companies, if not worse, come find out why. #geometricSeries

We will be showing how to graph a parameterized curve and how to find the length of the arc.

Our presentation will explain the development of credit card debt through the use of geometric series. We will also explain some of terminology that circulates around credit card debt. This topic can help students understand how to manage their money now and in the future, which will be especially important as they graduate from college.

Is your life erratic? Do you ever wish you weren't an outlier? Come get normalized with George, Cherry, and Josh as we explore statistical calculations through applications of integration.

We will be discussing how differential equations can be applied to the real world. We will use the example of credit cards and credit card debt to do so. Come join us to see how the concepts in math 1b can be applied to real situations.

Ever wonder how to apply our slicing methods to integrate polar coordinates/ polar curves? Our presentation will be a review of polar graphs and how to graph polar coordinates and then we'll teach you how to find the area in a polar curve, and find the area between two polar curves!

Do you want to learn how credit card companies make money from you? Or do you just want to play around with geometric series? If you answered yes to any of these questions, this presentation is just right for you!

As we've learned in class, most systems of differential equations cannot be solved with the quantitative methods we have learned thus far, so we must rely on qualitative means such as phase-plane analysis to study these systems. However, linear systems, a special type of system in differential equations, can be modeled quantitatively with the knowledge we have acquired thus far in this course. This is especially helpful because any system of differential equations can be approximated by a linear system. If you would like to find out how, come to our our problem session!

We will discuss how interest rates affect how much you will have to pay back on your debt. We will analyze different equations one can use to determine how long it will take to pay off a given amount of debt if you pay a certain amount of it each month.

Credit Card Companies: Uncovered....And what it means for you.

Every wondered what APR meant? Or how to calculate Credit Card debt? APR, or Annual Percentage Rate, is the interest rate for a whole year, and how banks quote their credit card, loan, and mortgage interest rates. However, since the balance is compounded daily, the actual interest rate that one pays on a credit card balance is higher the APR quote from a bank. Owing $1000 on a typical credit card with a 19% APR, and paying $100 each month, it will take 11 months and $98 extra dollars in interest charges to repay this debt. If you only make the minimum payment each month ($10 for most credit cards), repaying this debt is in fact impossible. The underlying mathematical calculation of credit card interest uses geometric sums, and in this presentation, we will explore how the concepts in class are applied to personal finance, and how they lead to the results that make credit card debts such a slippery slope.

Our presentation will explore the wonders of mortgages. This is an exciting realm of adult hood that will be useful to know about when buying and financing homes in the future. We will relate this interesting subject to some of the principle themes we've learned about in Math 1B, specifically the topics of geometric series and differential equations.

Playing around with statistics: We will talk about how statistics is related to things such as Riemann Sums.

After a brief introduction to polar graphing, we will be discussing how to slice and integrate these new kinds of functions. We will see how the area of functions, which do not look like traditional functions, can also be found using traditional integrating techniques.

We will begin by introducing the numerous uses of the pendulum. Then we will discuss a specific example involving a differential equation. We will explain how the different terms in the equation relate to force and friction.

We all know that one of the top concerns we have as college students is money. Sometimes, money can be a real pain, especially when we have to deal with debt. At our presentation, you will learn about the mathematical side of credit card debt, which will hopefully help you handle different financial situations. We would love to see you all there!

Our presentation will focus on real life applications of geometric series and sums - namely, credit card debt. We will explain what an annual percentage rate is and how it, along with interest, affects payment to credit card companies, using geometric sums as models.

We will cover how fixed-rate mortgages are repaid over time. After summarizing how interest is applied to monthly payments, we will use geometric sums and a differential equation to model payment plans and how interest influences them.

Learn how to solve linear system.

Discover the wonderful world of pendulums!!! Differential equations can not only model springs but pendulums as well. If you love angular acceleration or always wondered what the mathematics were behind Newton's Second Law come see our presentation! We'll have a real life pendulum to help demonstrate :)

In this brief presentation we will discuss various scenarios to help better your understanding of APR and interest payments through the use of geometric sums and other models.