You CAN Ace Calculus
Single Variable Calculus
|Area Under Curves|
|Conics in Polar Form|
|Continuity & Discontinuities|
|Convolution, Laplace Transforms|
|Cylinder-Shell Method - Volume Integrals|
|Direct Comparison Test|
|Divergence (nth-Term) Test|
|Ellipses (Rectangular Conics)|
|Epsilon-Delta Limit Definition|
|First Derivative Test|
|Formal Limit Definition|
|Higher Order Derivatives|
|Hyperbolas (Rectangular Conics)|
|Infinite Series Table|
|Infinite Series Study Techniques|
|Infinite Series, Choosing a Test|
|Infinite Series Exam Preparation|
|Infinite Series Exam A|
|Initial Value Problems, Laplace Transforms|
|Integration by Partial Fractions|
|Integration By Parts|
|Integration By Substitution|
|Intermediate Value Theorem|
|Interval of Convergence|
|Inverse Function Derivatives|
|Inverse Hyperbolic Derivatives|
|Inverse Trig Derivatives|
|Limit Comparison Test|
|Moments, Center of Mass|
|Mean Value Theorem|
|Parabolas (Rectangular Conics)|
|Parabolas (Polar Conics)|
|Plane Regions, Describing|
|Radius of Convergence|
|Related Rates Areas|
|Related Rates Distances|
|Related Rates Volumes|
|Remainder & Error Bounds|
|Second Derivative Test|
|Slope and Tangent Lines|
|Arc Length (Vector Functions)|
|Arc Length Function|
|Arc Length Parameter|
|Conservative Vector Fields|
|Divergence (Vector Fields)|
|Double Integrals - Area & Volume|
|Double Integrals - Polar Coordinates|
|Double Integrals - Rectangular|
|Principal Unit Normal Vector|
|Triple Integrals - Cylindrical|
|Triple Integrals - Rectangular|
|Triple Integrals - Spherical|
|Boundary Value Problems|
|Classify Differential Equations|
|Existence and Uniqueness|
|First Order, Linear|
|Integrating Factors, Exact|
|Integrating Factors, Linear|
|Laplace Transforms, Solve Initial Value Problems|
|Linear, First Order|
|Linear, Second Order|
|Partial Differential Equations|
|Reduction of Order|
Do you have a practice problem number but do not know on which page it is found? If so, enter the number below and click 'page' to go to the page on which it is found or click 'practice' to be taken to the practice problem.
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Help Keep 17Calculus Free
If you have found that you need more help than your class, instructor, this site and other sites can give you, we have some suggestions on how to get additional support and what to do for help, many of them free. College is not easy but it is possible to do well with the correct preparation and tools. These suggestions will help you after you have implemented all the study techniques listed on the study techniques page.
When you are having difficulty with math and you realize that you need help, having a support system strategy is important. There are two main sources for support systems, through your school or building your own.
Check Your School's Support System
Department Help Room - - Most schools have help rooms within each department, especially science, math and engineering departments. They are usually a drop-in type of help, so at least initially, your help may be hit and miss. Once you find someone that helps you, ask them when they are in the help room and plan your schedule to be there when they are there. These help rooms are usually free and staffed by grad students.
Tutoring Service - - This option is discussed below.
Build Your Own Support System
This is actually the better way to go, i.e. to build your own support system and not rely on your school to provide you with support.
Study Group - - Set up your own study group with other people that are in your class. See the study group page for details on how to do this effectively.
Instructor's Office Hours - - Some instructors are better at teaching one-on-one than in the classroom. Try to see the instructor during their office hours (if they seem open to it) and show up with specific questions and with a specific agenda. Don't just go in expecting them to teach you everything all over again.
In this section, we give you suggestions on how you can get the most out of your tutoring sessions and some suggestions on how to find tutors.
How To Get The Most Out of Your Tutoring Sessions
Here are some tips on how to get your money's worth out of your tutoring sessions.
1. Arrive at your tutoring appointment early (at least 5 minutes) and have your materials laid out when your tutor arrives.
2. Bring your textbook and all your homework and exams.
3. Come with specific questions about specific problems or things you do not understand.
4. Do not expect your tutor to teach the material to you. He/She is there to help straighten out your understanding of things you are missing or confused about. Before you meet, find the point where you started to begin getting confused and start there.
5. Keep in mind that you will find some tutoring sessions to be extremely helpful and others may be less helpful. Do not give up on your tutor if you are still progressing.
6. Do not waste time with a bad tutor or a tutor that teaches in a way that does not help you. Find another tutor, if you need to.
7. Do not wait too long to get a tutor, i.e. if you think a tutor will help you, get one early in the semester. It is possible to get too far into the semester and be so lost that you don't have time to get caught up. Try a session here and there to keep up on the material.
8. Do not be shy about paying your tutor. They are providing a service and it is right and proper to be paid for that service. They understand that and you should too.
Something To Watch For - - If you have a tutor and they seem to be helping you but you go into the exam and you fail, your tutor may not actually be helping you. Some tutors have a way of doing the work for you while making you think you are doing it. Watch carefully for this. They probably don't know they are doing it. If you are frustrated and stumbling but you are making progress and you know you are doing it on your own, then you are on the right track. The job of the tutor is to get you to a point where you are doing the problems on your own. If you rely too much on them, you will not do well in the class and on exams.
Tutoring Service Through Your School
This type of help usually costs something but not as much as you might expect. The tutors are usually students that have recently taken the course you are in and they do it very cheaply since they might get class credit for it. Usually you pay the school and then the school pays them. Check with the math department to see if they know who to talk to. Again, this is hit and miss and they may assign someone to you that doesn't help you, so do not be afraid to ask for someone else.
There are lots of tutoring services out there, some better than others. So here is a list of ones we recommend and we have included links that will help you save money. Again, remember that you are working with people and some of them are not going to help you, others will. So be flexible and try several before completely giving up.
Here are a few tutoring services to get you started.
More Structured Online Courses
Here at 17calculus we do not yet have specific courses. However, if you are looking for more of a structured approach to learning, here are some suggestions.