Week 15:

Due Monday, November 27:

Due Wednesday, November 29: Hand in: problems on direct and inverse variation and also: (1) Starting at a height of 80 feet above ground, a marble is thrown upward with an initial velocity of 48 feet per second. Use the facts that the velocity of the marble is the first derivative of the height function, the acceleration is the second derivative of the height function, and the acceleration is a constant -32 feet per second per second (the acceleration due to gravity) to show that the height of the marble x seconds after it is thrown is -16x^2 + 48x + 80 feet. (2) Continuing the previous problem, determine when the marble hits the ground.

Due Friday, December 1: Field assignment due

Week 16:

Due Monday, December 4: Math 7035 students only: projects due.

Due Wednesday, December 6: If you haven't already, please go to http://eval.franklin.uga.edu to fill out your course evaluation. The math department and I appreciate your feedback! Study for the comprehensive final exam. Bring questions to class. Concerning quadratics, you should know the following: Be able to put a quadratic in "vertex form" by completing the square (this is one version of completing the square, in another version, one works with an equation instead of just the polynomial). For quadratics of the form x^2 + bx + c where b and c are positive, be able to show how completing the square fits with an appropriate picture. Use the vertex form of a quadratic to find the vertex of the graph of the quadratic and to explain why this point is the lowest or highest on the graph. Also use the vertex form of a quadratic to find the roots (i.e., where the quadratic is zero) and to explain why the roots are symmetrically placed with respect to the vertex. Use completing the square/vertex form to explain why the quadratic formula gives the roots of quadratic polynomials.

Thursday, December 7: reading day

Office hours: Thursday, December 7, 10 - 11 am; Monday, December 11, 10 - 11 am; Tuesday, December 12, 10 - 11 am.

Final exam: 12 noon - 3 pm, Wednesday, December 13, in our usual classroom.