Lec 15

In Lecture: discuss grades + 10.2 (Derivatives & Tangents for parametric curves)Today:

Office hours today: 2-3+pm in my office (Padelford C-326)

Read textbook and lecture notes.

Work on HOMEWORK: HW12 (3.4) closes today, HW13 (10.2) closes Monday night

To Do:

Friday, May 1

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Midterm 1 Score Distribution

Midterm 1 Stats, sections A&B: Top Quartile: 43/50 (86%), 4 perfect scores Median: 36.5/50 (73%) Low Quartile: 31/50 (62%)

2 quiz grades (lowest is dropped)Hwk % up to Midterm 1 (HW01-HW11) Worksheet Participation scores (lowest is dropped)Midterm score-----------------------Total Score so far -- look at table below for conversion to grade point

CHECK in CANVAS Gradebook:

CLASS STATS at the moment: Top Quartile: 88.5% (3.5), Median: 79.5% (2.9), Low Quartile: 72.6% (2.4)

CONVERSION TABLE from your current total % to grade points(Note: this conversion table will change later, depending on class performance)

Keep in mind that only about 30% of the total points for the class have been earned, so your grade can be improved (or lowered) A LOT, depending on the rest of your performance.

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Post-Midterm Stats & Grade Update:

1)

2)

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More Chain Rule Examples:

Formatting tips:

When entering trig functions in Webassign, use parentheses around the argument (even if the question doesn't.)

For example, write sin(2t), not sin2t.

Also, write if you mean

. If you write that actually means

NOTE: Section 10.2 contains multiple topics. Read only the "Tangents" section. (The rest involve integrals, and will be discussed in math 125 )

Recall that parametric equations for a curve:

contain more information than the Cartesian equation (the curve + a certain "motion" along the curve). In particular a parametric curve at a point has 3 derivatives:

Ex:

a) Find the equation(s) of the tangent line(s) at the point (1, -2)

parametric applet .10.2 Derivatives and Parametric Curves

b) Find the points where the tangent line is horizontal

c) Find the points where the tangent line is vertical

d) Find the equation(s) of the tangent line(s) at the point (3,0)

e) Find all the points where the tangent line has slope 4.

e) Find all the points where the tangent line has slope 4.