Schoolhouse.world: peer tutoring, for free.
Free SAT® Prep, as part of a research study.
SAT® Bootcamps
Free SAT® Prep, as part of a research study.
A global network of volunteers.
Explore Tutors
A global network of volunteers.

Calculus • Series

Calculus in 2 weeks

Ashley B

Series Details

Sessions

Public Discussion

This series ended on August 19, 2021. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

In this course, we'll cover everything you need to know about calculus. We'll cover topics ranging from limits through volumes of cylindrical shells. The course goes at a faster pace, as it is only 2 weeks long. In each session we'll go over example problems together and you'll have the opportunity to try practice problems on your own as well.

✋ ATTENDANCE POLICY

You will be withdrawn from the series if you miss 2 sessions without giving the tutor prior notice (not counting the optional weekly office hours sessions).

Dates

August 2 - August 19

Learners

8 / 10

Total Sessions

18

About the Tutor

Hi I'm Ashley! I recently graduated from high school in California and I'll be off to college in September. I like math and I like helping people, so here I am offering my help with math.

View Ashley B's Profile

Upcoming Sessions

0

Past Sessions

18
2
Aug

Session 1

Limits and continuity

In this session we'll go over how to find a limit using a graph and using a table. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own. There will also some warmup problems in the beginning to review pre-calculus topics before we get started.
3
Aug

Session 2

Limits and continuity

In this session we'll cover the basic limit laws, direct substitution, the squeeze theorem, and using trig identities (Pythagorean identities and double angle identities) to find limits involving trig functions. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
4
Aug

Session 3

Limits and continuity

In this session we will cover continuity, looking at what it means for a function to be continuous both graphically and algebraically, the different types of discontinuities, and how to remove a discontinuity using factoring and rationalization. We will go over some theorems regarding continuity, work through some example problems together, and you'll have the opportunity to try some practice problems on your own.
5
Aug

Session 4

Differentiation: definition and basic derivative rules

In this session we'll go over everything you need to know about derivatives, including the definition of a derivative, derivative rules and implicit differentiation. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own as well.
6
Aug

Session 5

Contextual applications of differentiation

In this session we'll go over how to solve related rates problems. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own as well.
7
Aug

Session 6

Contextual applications of differentiation

In this session we'll go over linear approximations and L'Hospital's Rule. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own as well.
8
Aug

Session 7

Office Hours

-OPTIONAL- Come with any questions you may have from the material we've covered so far. We can also do additional practice problems for the topics we have covered so far.
9
Aug

Session 8

Applying derivatives to analyze functions

In this session we will go over a summary of curve sketches, which involves finding extrema and concavity of a function using its derivatives. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
10
Aug

Session 9

Applying derivatives to analyze functions

In this session we'll go over solving optimization problems. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
11
Aug

Session 10

Integration and accumulation of change

In this session we'll go over antiderivatives. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
12
Aug

Session 11

Integration and accumulation of change

In this session we'll go over using Riemann's sums to find the area under a curve and we'll look at direct integrals. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
13
Aug

Session 12

Office Hours

-OPTIONAL- Come with any questions you may have from the material we've covered so far. We can also do additional practice problems for the topics we have covered so far.
14
Aug

Session 13

Integration and accumulation of change

In this session we'll go over antiderivatives. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
15
Aug

Session 14

Integration and accumulation of change

In this session we'll go over using Riemann's sums to find the area under a curve and we'll begin looking at definite integrals. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
16
Aug

Session 15

Integration and accumulation of change

In this session we'll go over the Fundamental Theorem of Calculus and finding the area between curves. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
17
Aug

Session 16

Applications of integration

In the final lesson of the series, we'll go over finding volumes and volumes by cylindrical shells. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own.
18
Aug

Session 17

Differential equations

In this session we'll be going over differential equations and slope fields. We'll go over some example problems together and you'll have the opportunity to try some practice problems on your own as well.
19
Aug

Session 18

Office Hours

-OPTIONAL- Come with any questions you may have from the material we've covered so far. We can also do additional practice problems for the topics we have covered so far.

Public Discussion

Please log in to see discussion on this series.