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Math 102 - Calculus I with Econ Apps - Spring 2006Reading AssignmentsI'll use Maple syntax for mathematical notation on this page.
All numbers indicate sections from Calculus from Graphical, Numerical, and Symbolic Points of View, Second Edition by Ostebee/Zorn.
For Friday January 27Section 1.1 Functions, Calculus StyleSection 1.2 Graphs To read : The Section How to Use This Book: Notes for Students beginning on page xvii. All of Sections 1.1 and 1.2. Reading Questions : Let f(x)=x2
For Monday January 30Appendix E Algebra of Exponentials and LogarithmsSection 1.3 A Field Guide to Elementary Functions To read : All of Appendix E, and through the section "Logarithm functions" of Section 1.3. Be sure to understand the definition of the logarithm function base b. Reading Questions :
For Wednesday February 1Appendix F Trigonometric FunctionsSection 1.3 A Field Guide to Elementary Functions To read : All of Appendix F and finish Section 1.3. Be sure to understand the definitions of sin(x) and cos(x) in terms of the unit circle. Reading Questions :
For Friday February 3Section 1.4 Amount Functions and Rate Functions: The Idea of the DerivativeTo read : Through Example 4. Be sure understand the section "Rates, amounts, and cars" beginning on page 36. Reading Questions : Look at the graphs of P(t) and V(t) in Figure 1 on page 37.
For Monday February 6Section 1.5 Estimating Derivatives: A Closer LookTo read : All. Make sure to understand Examples 3 and 4. Reading Questions :
For Wednesday February 8Section 1.6 The Geometry of DerivativesTo read : All. Be sure to understand the definition of a stationary point and the difference between local and global maxima and minima. Reading Questions : Look at the graph of f ' in Example 2:
For Friday February 10Section 1.7 The Geometry of Higher Order DerivativesTo read : All. Think about why the Second Derivative Test makes sense. Reading Questions : Use the graphs of f, f ', and f ' ' in Figure 3 on page 67.
For Monday February 13Section 2.1 Defining the DerivativeTo read : All. We'll talk about the formal defintion of the derivative in detail during class. Reading Questions :
For Wednesday February 15Work on Project 1 today. No Reading Assignment.For Friday February 17Section 2.2 Derivatives of Power Functions and PolynomialsTo read : Through Theorem 4 on page 97. Be sure to understand Examples 1 and 2. Reading Questions :
For Monday February 20The Big Picture before Exam 1. No Reading Assignment for today.For Wednesday February 22Section 2.3 LimitsTo read : Through Theorem 6. Be sure to understand Example 4 and the defintions of left-hand and right-hand limits. Reading Questions :
For Friday February 24Section 2.4 Using Derivative and Antiderivative FormulasTo read : All. Be sure to understand the definition of an antiderivative and Theorems 8, 9, and 10. Reading Questions :
For Monday February 27Section 2.6 Derivatives of Exponential and Logarithmic Functions; Modeling GrowthTo read : All. Be sure to understand Theorem 12 and the section "Proof by picture" that follows. Reading Questions :
For Wednesday March 1Section 2.7 Derivatives of Trignometric Functions: Modeling OscillationTo read : All. Be sure to understand the section "Differentiating the sine: an analytic proof". Reading Questions :
For Friday March 3Section 3.1 Algebraic Combinations: The Product and Quotient RulesTo read : All. Be sure to understand Examples 3, 4 and 5. Reading Questions : Explain what is wrong with the following calculations and fix them.
For Monday March 6Section 3.2 Composition and the Chain RuleTo read : Through Example 12. We'll consider evidence for why the Chain Rule is true during class. Reading Questions : Explain what is wrong with the following calculations and fix them.
For Wednesday March 8Section 3.2 Composition and the Chain RuleReread the section, but no Reading Questions for today. For Friday March 10More fun with differentiation. Review Sections 3.1 and 3.2, but no Reading Assignment.For March 13 - 17Spring Break. Surprisingly, no Reading Assignment.For Monday March 20Section 4.3 OptimizationTo read : All. Read Examples 2, 3, and 4 carefully. Reading Questions :
For Wednesday March 22Differentiation Exam today. No Reading Assignment.For Friday March 24Section 4.7 Building Polynomials to Order: Taylor PolynomialsTo read : All. Be sure to understand Examples 5 and 8. Reading Questions :
For Monday March 27Section 4.7 Building Polynomials to Order: Taylor PolynomialsReread the section, but no Reading Questions for today. For Wednesday March 29Work on Project 2. No Reading Assignment.For Friday March 31Section 4.8 Why Continuity MattersTo read : All. Be sure to understand the statement of the Intermediate Value Theorem. Reading Questions :
For Monday April 3The Big Picture before Exam 2. No Reading Assignment.For Wednesday April 5Section 4.9 Why Differentiability Matters: The Mean Value TheoremTo read : All. Be sure to understand the statement of the Mean Value Theorem and the section "What the MVT says". Reading Questions :
For Friday April 7Section 5.1 Areas and IntegralsTo read : All. Be sure to understand the definition of the integral, Example 2, and the section "Properties of the integral" beginning on page 306. Reading Questions :
For Monday April 10Section 5.2 The Area FunctionTo read : All. Be sure to understand the definition of the area function and Examples 2, 3, and 4. Reading Questions :
For Wednesday April 12Section 5.3 The Fundamental Theorem of CalculusTo read : All, but you can skip the proof of the FTC in the section. We'll look at a different approach in class. Reading Questions :
For Friday April 14Section 5.3 The Fundamental Theorem of CalculusTo read : Re-read the section for today. Reading Questions :
For Monday April 17Section 5.4 Finding Antiderivatives: The Method of SubstitutionTo read : All. Be sure to understand Examples 8, 9, and 10. Reading Questions :
For Wednesday April 19Section 5.4 Finding Antiderivatives: The Method of SubstitutionReread the section, but no Reading Questions for today. For Friday April 21Section 5.6 Approximating Sums: The Integral as a LimitTo read : All. Be sure to understand the definition of a Riemann sum and Example 3. Reading Questions :
For Monday April 24The Big Picture before Exam 3. No Reading Assignment.For Wednesday April 26Section 5.6 Approximating Sums: The Integral as a LimitReread the section, but no Reading Questions for today. For Friday April 28Section 2.5 Differential Equations; Modeling GrowthTo read : All. Reading Questions :
For Monday May 1Section 2.5 Differential Equations; Modeling GrowthReread the section, but no Reading Questions for today. |
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Maintained by Tommy Ratliff ratliff_thomas@wheatoncollege.edu Last Modified May 7, 2009 10:14 PM |