Hello all. I am currently attending a community colleges Analytic Geometry and Calculus 1 course, and have just been accepted to a University for the fall. My question is do you all think that I will be ready for calc 2, or should I retake calc 1? I am doing pretty good in calc 1, but I am worried that we will not cover all of the material that would be covered at a university level calc 1 course. I spoke with the advisor of the engineering department at the university and she said calc 2 at this school begins with series. Calc 1 at the community college will end with the introduction of integration. The advisor said she thinks that I would be ready though, but I am not sure. Here is a complete list of the sections we have and will cover in calc 1 at the community college:
Finding Limits Graphically an Numerically
Evaluating LImists Anylically
Continuity and One-Sided Limits
Infinite Limits
The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
THe Product and Quotient Rules and Higher Order Derivatives
The Chain Rule
Implicit Differentiation
Related Rates
Extrema on an Interval
Rolle's Theorum and the Mean Value Theorum
Increasing and Decreasing Functions and the First Derivative Test
Concavity and the Second Derivative Test
Limits at Infinity
A Summary of Curve Sketching
Optimization Problems
Newton's Method
Differentials
Antiderivatives and Indefinite Integration
Area
Rieman Sums and Definite Integration
The Fundamental Theorum of Calculus
Integration by Substitution
Nemerical Integration
The Natuaral Logarithmic Function: Differentiation
The Natuaral Logarithmic Function: Integration
Inverse Functions
Exponential Functions: Differentiation and Integration
Bases other than e and Applications

If calc 1 will make things more thorough, then shouldn't you take this one? What will you have to study if you take calc2?

What will university Calc1 cover? Compare with what the course you're taking covers and, if possible, find a textbook for the university course and see if you understand it.

Also, out of curiosity, what is the examination requirement of the course you're taking? I.e. is it a multiple choice test, verbal examination with proofs, report or some other form. I'm asking because in Denmark we covered the subjects you listed in (the equivalent of) high school, but with less focus on the proofs than on practice...

I would have to self study:
Differential Equations: Seperation of Variables
Hyperbolic Functions
Area of a region between two curves
Volume: the disk method
Volume: The Shell Method
Arc Length and surfaces of revolutions
Moments, centers of mass, centroids
Basic Integration Rules
Integration by parts
Trigonometric integrals
Trigonometric Substitution
Partial Fractions
Improper Integrals
These are the sections in the book that I have not covered in my calc 1 class. If I go to calc 2, then I will find out which of these topics are most important, study like hell, and hope that I would be ready for the calc 2 course. I do feel as though I know the basic calc concepts fairly well, and would like to go on to more advanced material, and I also don't want to waste time learning things I already know, but I also don'e want to set myself up for failure.

Oh yeah, I have 2.5 weeks inbetween the end of the calc one course and the beginning of the fall semester at my new school. Is this enough time to learn this material. I also work a full time job (but am quiting in 2 weeks)..

I would say go for it. it might take a bit more work, but you should be fine taking clac2. although, it should be much harder than calc2. IMO, calc 2 was harder to learn than calc3-4(diff-eq). just put the work in, if your teacher does not assign you 10 problems to do out of each section, do that many anyway.

don't under estimate yourself, with a little elbow grease you can get it done.

I would have to self study: Given your willingness to self study, I would say you should have no problem at all. How mathematically inclined would you say you are?

Many of the topics below are much to do about nothing. They probably won't take much time to understand once you have the appropriate background. Perhaps some of the topics at the bottom of your list may take more time to understand.

Differential Equations: Seperation of Variables
Hyperbolic Functions
Area of a region between two curves
Volume: the disk method
Volume: The Shell Method
Arc Length and surfaces of revolutions
Moments, centers of mass, centroids
Basic Integration Rules
Integration by parts
Trigonometric integrals
Trigonometric Substitution
Partial Fractions
Improper Integrals

These are the sections in the book that I have not covered in my calc 1 class. If I go to calc 2, then I will find out which of these topics are most important, study like hell, and hope that I would be ready for the calc 2 course. I do feel as though I know the basic calc concepts fairly well, and would like to go on to more advanced material, and I also don't want to waste time learning things I already know, but I also don'e want to set myself up for failure.

How mathematically inclined would you say you are?
I would say that I am fairly good at mathematics. But more important that how good I am is the fact that I actually enjoy learning math (an atribute that I am sure many other people here experience). Thanks for the input guys. You all have really given me the confidence to step my game up and go ahead and teach myself the required material to be ready to throw myself into the realm of Calc. 2.