3/11

3/12

Today we continued talking about the area between functions

 

3/4

Today we discussed Position, velocity, and acceleration with integration techniques. 

Notes

CW/HW: Khan: motion problems (integral calc), interpretting motion integrals

 

3/5

Today we continued to discuss PVA and integration by completing the notes

Notes

 

3/6

Today we worked on completing our assignments

 

3/7-3/8

Today we introduced the idea of finding the area between curves

Area notes

 

2/25

Today we looked at word problems involving differential equations and exponential models

Notes

 

2/26

Today we looked at more problems involving differential equations and their particular solutions

Khan work day

 

2/27 

Here is the study guide for differential equations

SG

SG answers!

 

2/19

Today we introduced differential equations. 

Notes

2 Khan's: writing D.E.'s, verifying D.E.'s

 

2/20

Today we looked at slope fields of differential equations

slope field notes

2 khan's: slope fields, reasoning with slope fields

 

2/22

Today we looked at seperable differential equation and particular solutions

Notes

3 Khan's

This week we are studying integration in preperation for our exam. 

Study Guide

 

part 1

 

Full guide filled

2/4

Today we very crazily introduced u-substitution

It's a magical and super useful tool that can be a bit odd at first, but will be your best friend later. 

Notes

CW: none, JUST LEARN YOUR NOTES :)

 

2/5

Today we continued finding indefinite integrals with u-sub

More Indefinite u-sub

CW: 1 Khan

 

 

2/6

Today we introduced definite values for u-sub integration

U-Sub with definite 1

 

2/8

Uglier but interesting U-subs

1/28

Today we continued learned how to evaluate indefinite integrals

More Indefinite Integrals

 

1/29

Definite Integrals

 

1/30

Definite integrals day 2

 

INTEGRATION STUDY GUIDE

1/22

Today we talked more about definite integrals and the Fundamental Theorem of Calculus

Integral Ideas

 

1/23

Today we continued to look at the idea of the definite integral and investigating areas underneath curves. 

ONE MAJOR IDEA: If the area is above the x-axis, the area is a positive value. If the area is below the x-axis it is negative!

Be careful when combining areas on both sides

 

1/25

Integration and the FTC part 2

1/14 

Integration Ideas and Riemann Sums

3 Khan's: Accumulation, Left and Right Riemann Sums, Midpoint and Trapezoid Sums

 

1/15

Today we found other ways of estimating area: trapezoid sums and midpoint sums

Notes

1 Khan: Trapezoid and Midpoint

 

1/16

Today we started to investigate how to write riemann sums in summation notation

Notes

 

1/18

Summation Notation Riemann Sums simplified

1/4

Today we talked about linear approximation. Aka using a nearby known point and slope to find the approximate value of a curvy function using a straight line.

Notes

Khan: Linear Approximation

 

1/7/19

Today we introduced optimization. These questions delt with finding minimum requirements to meet certain area or volume needs. 

Optimization 1

Examples to try:

1. You are designing a cylindrical tube that must hold 1000 cm cubed of volume. If the cylindar has an open top, what is the minimum surface area required to create the cylinder?

 

1/8/19

Today we continued optimization

Opt. 2

no hw

 

 

1/11/19

Optimization 3

1 Khan Optimization