- Exponential Functions
- Objectives:
After working through the Readings, Web Materials and the Homework, the
student should be able to
- understand the definition of the exponential function;
- understand the definition of the number e;
- be able to sketch the graph of an exponential function.
- Readings:
- Web Materials:
- Homework Problems: (due October 5)
- Stewart p.62: 7, 8, 9, 10, 12, 14, 17, 24
- Rules of Differentiation
- Objectives:
After working through the Readings, Web Materials and the Homework, the
student should be able to
- understand the derivation of some elementary rules for derivatives and apply these
rules.
- give examples of functions that fail to be differentiable;
- detect graphically a function that fails to be differentiable;
- understand the relationship between continuity and differentiablility.
- Readings:
- Section 2.8 and 3.1 of Stewart.
- Web Materials:
- Homework Problems: (due October 7)
- Stewart p.199: 7, 9, 10, 16, 19, 32, 41, 42, 46, 49, 54
- Product and Quotient Rule
- Objectives:
After working through the Readings, Web Materials and the Homework, the
student should be able to
- understand the derivation of the product and quotient rules;
- apply these rules.
- Readings:
- Web Materials:
- Homework Problems: (due October 9)
- Stewart p.206: 3, 4, 5, 6, 13, 16, 26, 27, 29, 33, 34, 38
- Chain Rule
- Objectives:
After working through the Readings, Web Materials and the Homework, the
student should be able to
- understand the chain rule;
- apply the chain rule;
- understand how the chain rule is used to find the tangent line to parametric curves.
- Readings:
- Web Materials:
- Homework Problems: (due October 12)
- Stewart p.234: 1, 5, 7, 13, 19, 32, 39, 40. 45. 48, 49
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