Week 1
- [Elementary Functions - Graphs & Transformations] 1.2: 1-25 odd,47,49,51,53,67 (A),69,71
- Today's Lecture
- [Linear & Quadratic Functions] 1.3: 1-21 odd,27,35,41,47,51,65,67,75
- Today's Lecture
Week 3
- [Exponential Functions] 1.5: 1,19,51,53,55
- A nice video about e
- [Logarithmic Functions] 1.6: 1-17 odd,21,23,27,29,59,83
- Continuous vs. Discrete Compounding (theory vs. real world applicability)
- Today's Lecture
- [Limits] 2.1: 9-65 odd,73-87 odd,89 (A-C),91,97
- Today's Lecture
- Today's Lecture
- Download Turn in 1 (Due in class on Monday 9/15)
Week 4
- [Infinite Limits and Limits at Infinity] 2.2: 9-63 odd,83,87,89 (A,B)
- Today's Lecture
Week 5
- [Continuity] 2.3: 9-47 odd,69,71,75,89
- An article describing Just in Time Inventory Control
- Today's Lecture
- [The Derivative] 2.4: 9,11,13,19-45 odd,49-56,69,75,81
- Today's Lecture
- Download Turn in 2 (Due in class on Monday 9/29)
Secant Line/Tangent Line
Here is the animation showing how the secant line turns into the tangent line as \(h \rightarrow 0\).We have that \(\underset{h\rightarrow 0}{lim}\frac{f(c+h)-f(c)}{h}\) [the limit of the slope of the secant line] 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.
Week 6
- Study!
- Today's Lecture
- Exam 1.
Week 7
- [Basic Differentiation Properties] 2.5: 1-63 odd,77-81 odd,89,95
- [Linear Approximation] 2.6: 45,47,55
- Today's Lecture
- [Marginal Analysis] 2.7: 9-27 odd,33,49
- Today's Lecture
- [Derivatives of Exponential and Logarithmic Functions] 3.2: 13-21 odd,67,73
- [Product Rule and Quotient Rule] 3.3: 9-55 odd,67-91 odd,93,95
- [Chain Rule] 3.4: 9-67 odd,79,81,95
- Today's Lecture
Week 8
- [Chain Rule] 3.4: 9-67 odd,79,81,95
- [Implicit Differentiation] 3.5: 9-29 odd,35,57,61
- Today's Lecture
- [Related Rates] 3.6: 9,11,17,23,33
- Today's Lecture
- [Related Rates] 3.6: 9,11,17,23,33
- Today's Lecture
- Turn in 3 (PLEASE PUT YOUR DISCUSSION SECTION ON THE HOMEWORK!)
3.5 #58
3.6 #38
- Due Monday 10/20
Week 9
- [First Derivative and Graphs] 4.1: 9-16,19-26,27-41 odd,49-55 odd, 61,65,69-74,85,95
- Today's Lecture
Week 10
- [Second Derivative and Graphs] 4.2: 9,11,13-16,17-23 odd,25-45 odd, 49,51,55,57
- Today's Lecture
- Today's Lecture
- Exam 2 (Next Friday) Topic List
- Power Rule and derivatives of exponential and log functions
- Product/Quotient/Chain Rule
- Implicit Differentiation
- Related Rates
- Graphing, including sign charts for f(x), f'(x) and f''(x) etc.
- No linear approximation or marginal cost questions.