Calculus
Parametric equations, polar coordinates, and vector-valued functions
- Defining and differentiating parametric equations
- Second derivatives of parametric equations
- Finding arc lengths of curves given by parametric equations
- Defining and differentiating vector-valued functions
- Solving motion problems using parametric and vector-valued functions
- Defining polar coordinates and differentiating in polar form
- Finding the area of a polar region or the area bounded by a single polar curve
- Finding the area of the region bounded by two polar curves
- Calculator-active practice
Register for a session to review this topic with a small group of learners.
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
PLEASE BRING YOUR GRAPHING CALCULATORS NEXT SESSION!
(TI-84s preferred!)
Topics covered (80m):
1. Defining and differentiating parametric equations
2. Second derivatives of parametric equations
3. Finding arc lengths of curves given by parametric equations
4. Defining and differentiating vector-valued functions
5. Solving motion problems using parametric and vector-valued functions
PL
JG
Jose Roberto Cossich G
0
15/20
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
PLEASE BRING YOUR GRAPHING CALCULATORS! (TI-84s preferred!)
Topics covered (80m):
6. Defining polar coordinates and differentiating in polar form
7. Finding the area of a polar region or the area bounded by a single polar curve
8. Finding the area of the region bounded by two polar curves
9. Calculator-active practice
PL
JG
Jose Roberto Cossich G
0
15/20
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
Khan Academy Unit Test run-through (1h 20m)
"Unit 9: Parametric equations, polar coordinates, and vector-valued functions"
*END OF UNIT 3 - PARAMETRIC EQUATIONS AND VECTOR-VALUED FUNCTIONS*
PL
JG
Jose Roberto Cossich G
0
15/20
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
Parametric equations, vector-valued functions, and polar coordinates!
SL
LG
Luca G
0
12/200
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
Unit 9 of the AP Calculus BC Course.
SJ
Sahasra J
0
21/30
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
We will solve problems from unit 9 of the AP Calculus BC Course
SJ
Sahasra J
0
21/30
Pf
Calculus · series session
Parametric equations, polar coordinates, and vector-valued functions
9.1 and 9.2 - What is a parametric equation, and how can we solve for dy/dx?
9.3 - How do we find the arc length of a parametric equation?
9.4 and 9.5 - What are vector valued functions, and how do we differentiate and integrate them?
9.6 - How do we solve for the speed of a parametric across a point?
9.7 - What is a polar curve? How do we convert to cartesian coordinates to differentiate them?
9.8 and 9.9 - How do we find the area of a polar region bounded by one or multiple curves?
BL
WB
William B
0
7/50
That's it for now!
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