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Math 124 – Week 3
                          Math 124 main page    Week 4 outline

What Where Link
Reading Text – 2.5, 2.6, 2.7.
Supplement #1 Website LinearMotion.pdf
Worksheet    Website Limits.pdf
and Solutions.pdf
Homework Website week3probs.pdf
and Answers

Student Guide:

We will not be giving detailed proofs of limit computations. The ideas needed to do this are in section 2.4 of the text, which we will not cover ; you will not be responsible for section 2.4. (This material is covered in detail in an advanced calculus course.) Two important types of tools are developed to calculate limits. One tool depends on algebraic skills, doing things like factoring expressions. The other tool is a limit property of "continuous functions". Combining these two sorts of tools allows one to compute a large variety of limits without drawing pictures or plugging in numbers. We will revisit tangent lines, average and instantaneous velocity using our understanding of limits. This leads to the definition of the derivative.

  • The Worksheet will look at a situation that relates tangent lines, average rate of change, instantaneous rate of change and limit calculations.
  • The websupplement reading LinearMotion.pdf covers understanding motion along a straight line using parametric equations.
  • The material in section 2.6 is essentially precalculus: a discussion of horizontal asymptotes using limit terminology.
  • The homework will cover limits, rates of change (average and instantaneous), tangent lines and linear parametrized motion.
                          Math 124 main page    Week 4 outline
 

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