Pasadena City College, Home of the PCC Lancers

Pi Day Topics

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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:

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