Pasadena City College, Home of the PCC Lancers

Pi Day Topics

Pi Day image

 

Possible Research Topics - Feel free to create your own topic

Math 450:

  • (a) Different Numeration Systems
  • (b) Standardization of Measurement
  • (c) Arithmetic (Add, Subtract, Multiply and Divide) in Other Bases
  • (d) Accuracy (Significant Digit)
  • Math 402:

  • (a) Standardization of Measurement
  • (b) Pythagorean Theorem Proof (Geometric or Algebraic Proof)
  • (c) Percent (Sales problems. If you have 20 % off after 10 % off, will you have 30 % off in total?)
  • (d) History of Number Sets Development (How do we come up with these number systems? ) (From using real sticks to represent one amount to drawing sticks to the number 3.)
  • (e) House Project
  • (f) Car Loan Project
  • Math 125-131:

  • (a) Pythagorean Theorem Proof (Geometric or Algebraic Proof)
  • (b) House Project
  • (c) Car Loan Project
  • (d) Who invented the imaginary number "i"
  • (e) Applications of Complex Numbers
  • (f) Pharmacy measurement (mixture problems)
  • (g) Chemistry Calculation of pH Values
  • (h) Physics/Geology interpretation of Earthquake Scales
  • (i) How the Understanding of the Graph of Quadratic Functions helps the Optimization of a Company Revenue, Locating the motion of a Projectile, etc.
  • (j) How the Understanding of the Exponential Functions Helps the Understanding of Exponential Growth of Different Populations
  • (k) How scientific notation allows us to express extremely large numbers and extremely small numbers
  • Math 3, Math 7A & 7B & 9:

  • (a) Conics Application
  • (b) How to Quickly Make the Inverse Function of Sinusoidal Functions
  • (c) How to Graph Polar Curves Quickly and Correctly (Valuable links)
  • (d) How to Make Use of the Conversion from A Complex Number to its Polar Form to Easily Find its nth Roots.
  • (e) Visualization of the Formation of an Ellipse
  • (f) How a parabola/paraboloid helps us to design lights, amphitheaters, space heaters, etc.
  • (g) How a room shaped like an ellipse will allow two people located at the foci to hear each other clearly in a noisy room (with pics)
  • Math 141:

  • (a) House Project
  • (b) Stock Project
  • (c) Election Project
  • (d) Graph Theory
  • (e) Game Theory
  • Math 22:

  • (a) Shortest Path Project
  • (b) Probability Project
  • (c) Combinatorics Project
  • Math 15:

  • (a) Build a Calculator (Binary System)
  • Stat 50: See the link below starting page 8

  • (a) Organizing information (charts and graphs)
  • (b) Graphing with excel
  • (c) Correlation
  • (d) Statistics in Medicine
  • (e) Statistics in Ergonomics
  • (f) Statistics in Sports
  • (g) Statistics for Consumers
  • (h) Statistics for Polling
  • (i) Statistics in the Airline Industry
  • (j) Are men more likely than women to help someone who has dropped his or her books? Does the sex of the book dropper matter?
  • (k) Does having the pictures on puzzle pieces shorten the time to complete the puzzle relative to not having the pictures?
  • (l) Does drinking caffeine affect students' performance on tests?
  • (m) Are people like the descriptions of their horoscope sign?
  • (n) Do the results of federal elections have an effect on stock prices?
  • (o) Do certain subpopulations get mammograms more frequently than others
  • (p) Are members of certain subpopulations (e.g., racial, ethnic, or educational backgrounds) more likely to receive the death penalty?
  • (q) Do girls spend more or less time than boys watching television programs each week?
  • (r) How does gas mileage depend on the year/model of the vehicle?
  • Math 5A-5C: See the link below starting page 8

  • (a) The meaning of the derivative of a function
  • (b) Root Finding
  • (c) Mean Value Theorem and its Applications
  • (d) What is the relation between Pressure, Volume and Work?
  • (e) How to visualize the Chain Rule?
  • (f) The shape of a hanging necklace is called a catenary, not a parabola, why?
  • (g) How to visualize the calculation of the volume of the solid generated by rotating a bounded region about a horizontal line (or a vertical line) by illustrating a slice?
  • (h) How to visualize the surface area calculation?
  • (i) The most economic shape of a can
  • (j) Who invented Calculus?-The role of Newton and Leibniz in the development of Calculus
  • (k) How fast does a tank drain?
  • (l) Which is faster, going up or coming down?
  • (m) Radiation from the stars
  • (n) Kepler's Laws
  • (o) Rocket science
  • (p) How a parabola/paraboloid helps us to design lights, amphitheaters, space heaters, etc.
  • (q) how a room shaped like an ellipse will allow two people located at the foci to hear each other clearly in a noisy room (with pics)
  • (r) Which of the following objects, a solid ball, a hollow ball, and a solid cylinder, reaches the bottom first when rolling down a slope?
  • (s) Connections between physics class and calculus class: One connection was between Pressure, Volume, and Work: You may make a presentation on this relationship by doing a bit of research and bringing application to the Pi Day event.
  • (t) Is the shape of a hanging string a parabola? More notably, if you hold up a string (like a necklace), it will hang down due to gravity. Surprisingly (or not?) the shape is not a parabola. It turns out that it's this funky shape called a catenary. You may investigate why that's the case, and how to derive the formula.
  • (http://scidiv.bellevuecollege.edu/ls/notes/Cat1.pdf)

    http://www.math.cornell.edu/~GoodQuestions/materials.html

    http://samjshah.com/2008/05/13/calculus-projects/

    http://www.mastermathmentor.com/calc/calc-projects.ashx

    http://www.math.lsa.umich.edu/~glarose/courseinfo/calc/calcprojects.html

    http://answers.yahoo.com/question/index?qid=20100512045132AAvXNdT

    Math 10 & Math 55:

    http://math.fullerton.edu/mathews/differentialequation.html

    "http://online.redwoods.cc.ca.us/instruct/darnold/deproj/"

    Some General Categories for All Courses:

    • Mathematics and Medical Applications
    • Mathematics and Environmental Science (Green Math??)
    • Mathematics and Physics
    • Mathematics and Chemistry
    • Mathematics and Biology
    • Mathematics and Social studies
    • Mathematics and Art
    • Mathematics and Music
    • Mathematics and Daily Life
    • Experiences of Overcoming Common Mistakes
    • Strategies of Overcoming Fear of Learning Algebra
    • Strategies of Overcoming Fear of Learning Trigonometry
    • Strategies of Overcoming Fear of Learning Calculus
    • Strategies of Overcoming Fear of Learning New Mathematical Content
    • Graphs of all kinds of Functions (Library of Functions)
    • Critical Thinking Strategies for Word Problem Solving
    • Biography of Mathematicians
    • History of Mathematics

    Topics for Study Skills

    • Different Learning Strategies
    • Motivation and Success in College
    • Procrastination and Time Management
    • Self Monitoring Behaviors
    • College Success and Student Campus Engagement
    • Control of Environment on Success in College
    • The Myth of Multitasking
    • Mindset
    • Concentration and Math Learning
    • Using Math Resources on Campus

    Free Jeopardy Games:

    http://www.math-play.com/math-jeopardy.html

    http://www.math-play.com/Fractions-Jeopardy/fractions-jeopardy.html

    Create Your Own Jeopardy Games:

    Pi Day image

    SERVICE ALERT: PCC will be launching an updated version of this website on Tuesday, June 28, and Wednesday, June 29. During that time, you may notice some changes to content, layout, and functionality of the site, and there may be interruptions in service. We appreciate your patience during the launch, and apologize for any inconvenience this may cause.