Math 241 Syllabus (as of Fall 2009)
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Basically, chapters 1 through 4 of Calculus, 10th edition, by Hoffmann and Bradley. The focus should be more towards "modeling" -- converting words into equations in some sort of business context -- than in a traditional calculus course. In more detail, a possible schedule for a class meeting 1.5 hours twice a week might be:
Week 1, Lecture 1: Sections 1.1, 1.2 and 1.3 -- Functions, graphs and linear functions, including the idea of a sketch of a curve in some simple examples.
Week 1, Lecture 2: Section 1.4 -- Modeling plus some business examples involving cost, profit and revenue functions.
Week 2, Lecture 1: Sections 1.5 and 1.6 -- Limits and continuity.
Week 2, Lecture 2: Sections 1.5 and 1.6 -- More examples of limits and continuity, including some functions with asymptotes
Week 3, Lecture 1: Section 2.1 -- The derivative.
Week 3, Lecture 2: Section 2.2 -- Techniques of differentiation.
Week 4, Lecture 1: Section 2.3 -- Product and quotient rules plus some business examples.
Week 4, Lecture 2: Sections 2.4 and 2.5 -- Chain rule plus examples of marginal analysis.
Week 5, Lecture 1: Section 2.6 -- More chain rules and first examples involving implicit differentiation.
Week 5, Lecture 2: Section 2.6 -- Related rates problems and business-related word problems.
Week 6, Lecture 1: Sections 4.1 and 4.2 -- Exponential and logarithmic functions.
Week 6, Lecture 2: Section 4.3 -- Differentiation of exp and log, plus some review of the chain rule.
Week 7, Lecture 1: MIDTERM.
Week 7, Lecture 2: Section 3.1, 3.2 and 3.3 -- Increasing and decreasing functions and some discussion of curve sketching aided by derivative information as in sections 3.2 and 3.3 (skipping quite a lot of material here).
Week 8, Lecture 1: Section 3.4 -- Optimization.
Week 8, Lecture 2: Section 3.5 -- More optimization.
Week 9, Lecture 1: Word problems involving modeling and optimization.
Week 9, Lecture 2: THANKSGIVING.
Week 10, Lecture 1: Section 4.4 -- Review of exp and log, then new material on exponential models
Week 10, Lecture 2: Further problems practising exp and log stuff, general review.
Math 242 Syllabus
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Basically, chapters 5 through 7 of Calculus, 10th edition, by
Hoffmann and Bradley (including the section on Lagrange Multipliers).