Preparing for Calc 2: What Topics Should I Review?

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    Calc 2
In summary: systems of linear equations systems of nonlinear equations partial differential equations
  • #1
JoshHolloway
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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
 
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  • #2
I think if you feel comfortable with the material, you will be fine. Calc II is basically calculus one with more advanced integration topics, and sequences and series. I really found Calc II no harder than Calc I. So that's my advice.
 
  • #3
Should I erase this thread and put it in the Acedemic and Career Guidance forum? I forgot that this forum existed. This seems more apropriate. How do I go about doing this?
 
  • #4
You'll be fine for Calc. II. Go for it.
 
  • #5
Do you really think so. I am extemely concerned that I will not be ready.
 
  • #6
JoshHolloway said:
Should I erase this thread and put it in the Acedemic and Career Guidance forum? I forgot that this forum existed. This seems more apropriate. How do I go about doing this?

One of the moderators will have to move it. You can PM one of them.
 
  • #7
JoshHolloway said:
Do you really think so. I am extemely concerned that I will not be ready.
If you understood Calc. I this will not be a problem. Courses at different schools cover different topics, courses at the same school cover different topics. This is not a reason to repeat a course you have understood. If the choice of topics is a concern try to find out what Calc. I at the new school covered and study any thing you do not know on your own. Also some of the topics your course omitted may not be used subsequently, so if there is a time crunch those topics can be studied later for your own knowlege. If you cannot find out what topics you may have missed, you could take a worst case approch and study all topics that may be covered in Calc. 1 except series (as you have been told they were not). These may include
Trigonometric functions
Hyperbolic functions
Le Hopitals rule
Classification of indeterminate forms
Integation methods
by parts
repeated use
solving for desired integral
special substitutions
trig sub
hyp sub
logarithmic forms
partial fractions
repeated factors
x^2+a^2 forms
cover up method
Applications
differentiation
related rates
optimization
integration
work
area/volume/centroid/moment of inertia
Differential equations
Seperation of variables
applications
general and particular solutions
 

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