Week 1
- [Functions] 1.1: 9,11,13,15-35 odd,47-79 odd,83,85,87 R(x)= xp(x), 91,95
Week 2
- [Elementary Functions - Graphs & Transformations] 1.2: 1-23 odd,47,49,67 (A),69,71
- [Linear & Quadratic Functions] 1.3: 1-17 odd,27,35,59,65,77
- [Exponential Functions] 1.5: 1,47,51,53
- Turn in Problem #0 (demo) - Click on the 'Gradescope' link in the Blackboard page for our class and do the two problems, one of which requires you to draw a graph and take a picture which you upload.
Week 3
- [Logarithmic Functions] 1.6: 1-11 odd,21,23,27,29,83
- [Limits] 2.1: 9-65 odd,81-85 odd,89,91,97
- Turn in #1 - Click on the 'Gradescope' link in the Blackboard page for our class and do the problem. Two of the parts require uploading either a PDF or Photo of something you work out on paper. Note, please do not upload other types of files, Gradescope won't accept them.
Week 4
- [Infinite Limits and Limits at Infinity] 2.2: 9-63 odd,85,87,89,93
- [Continuity] 2.3: 9-45 odd,69,71,75,89
- An article describing Just in Time Inventory Control
Week 5
- [The Derivative] 2.4: 9,11,13,19-45 odd,47-54,55,67,69,75,79,81
Secant Line/Tangent Line
Here is the animation showing how the secant line turns into the tangent line as h -> 0.Equivalently, how the limit of d(h) [the slope of the secant line] as h goes to 0 is the definition of the slope of the tangent line to P.
Note, in the animation we're starting with h=2 (so Q=(4,16) ) and letting h go to 0 from there.
As such, the point Q moves closer and closer to P.
- [Basic Differentiation Properties] 2.5: 1-63 odd,77-81 odd,89,95
- Turn in #2 - Click on the 'Gradescope' link in the Blackboard page for our class and do the problem. Two of the parts require uploading either a PDF or Photo of something you work out on paper. Note, please do not upload other types of files, Gradescope won't accept them.
Week 6
- none
- Exam 1
- [Linear Approximation] 2.6: 45,47,55
Week 7
- Substitute Monday
- [Marginal Analysis] 2.7: 9-27 odd,33,49
- [Derivatives of Exponential and Logarithmic Functions] 3.2: 9-17 odd
Week 8
- [Product Rule and Quotient Rule] 3.3: 9-55 odd,67-91 odd,93,95
- [Chain Rule] 3.4: 9-71 odd,79,81,95
- [Implicit Differentiation] 3.5: 9-29 odd,35,57-
- [Related Rates] 3.6: 9,11,17,23,33
Week 9
- Handout From Today's Lecture
- [First Derivative and Graphs] 4.1: 9-26,27-41 odd,53-59 odd, 61,65,69-74,85,95
- Handout From Today's Lecture
- [Second Derivative and Graphs] 4.2: 9,11,13-16,17-23 odd,25-45 odd, 49,51,55,57
- Turn in #3 - Click on the 'Gradescope' link in the Blackboard page for our class and do the problem. Two of the parts require uploading either a PDF or Photo of something you work out on paper. Note, please do not upload other types of files, Gradescope won't accept them.
Week 10
- Keep working on 4.2 homework
- [L'Hopital's Rule] 4.3: 9-31 odd,37-63 odd
- [Curve Sketching Techniques] 4.4: 9,11,13,19,25,31,39,81
Week 11
- .
- Exam 2
Week 12
- [Absolute Max/Min] 4.5: 9-18,19,21,23,27,31,35,37,43,45
- [Optimization] 4.6: 9,19,25,27,43
- 5.1: 9-23 odd,41-69 odd,81
- The rowboat example
- There is a new turn-in on Gradescope which is due Monday at 5pm.
Week 13
Week 14
- 5.2: 9-49 odd,59-75 odd,77
- 5.4: 23,31-53 odd
- For \(f(x)=x^2\) over \([1,3]\) the Riemann sums for left endpoints, right endpoints, and midpoints are:
- \(L_n=\frac{26}{3} - \frac{8}{n} + \frac{4}{n^2}\)
- \(R_n=\frac{26}{3} + \frac{8}{n} + \frac{4}{n^2}\)
- \(M_n=\frac{26}{3} - \frac{2}{n^2}\)
- And for all three \(\lim_{n\rightarrow\infty} L_n =\lim_{n\rightarrow\infty} R_n = \lim_{n\rightarrow\infty} M_n=26/3\)
- [FTC] 5.5: 13-47,57-61