MA125-A Suggested Problems and Class Notes

 
DateSectionLecture SummaryProblemsComments
Wednesday 11/214.5 Section 4.5 L Hospitals Rule
Section 4.5 continued
5,6,8,11,13,18,24,28,32,35 
4.6Section 4.6 Optimization 9,10,12,13,15,17,20,21,23,33 
4.7Section 4.7 Application to Business and Economics 5,15,17 
4.8Section 4.8 Newton's Method 5,21 
Tuesday 11/134.1 Section 4.1 Related Rates 1,2,5,9,11,17,20,26,29 
4.2Section 4.2 Maximum and Minimum Values 5,6,7,8,14,23,25,27,28,30,31,35,37,47 
4.3Section 4.3 Derivatives and the Shapes of Curves 5,6,7,9,11,14,18,19,20,26,27,48,49 
Tuesday 11/63.6 Section 3.6 Implicit Differentiation 1,3,7,15,17,26,29,39,47,55 
3.7Section 3.7 Derivatives of Logarithmic Functions 3,9,15,19,21,23 
3.8Section 3.8 Linear Approximations and Differentials 5,9,11,23,25,27,31,33 
Tuesday 10/313.5 Section 3.5 the Chain Rule 3,4,5,6,7,11,16,19,21,31,41,42,45,51 
Thursday 10/263.4Section 3.4 notes - derivatives of trigonometric functions 2,7,9,10,12,13,15,18,27,32,33Optional reading: trig supplement: Euler's formula (this material will not be on any exam, but is interesting and worth knowing).
Tuesday 10/243.3 Section 3.3 rates of change in the social and physical sciences 2,3,4,17,18,23,24,27,32,33 
Tuesday 10/163.1 Section 3.1 polynomials and exponentials 3,11,12,14,19,21,25,26,37,38,46
3.2 Section 3.2 notes - product and quotient rules 2,3,6,9,11,14,16,19,31,33,35,43 
Thursday 10/112.9 Section 2.9 notes - what f' says about f 1,2,3,5,6,7,9,10,11,12,13,14,15,17,21,23,24 
Monday 10/22.8 Section 2.8 notes - the derivative as a function 1,2,3,5,7,10,12,19,21,22,25,28,29,31,32,34,37,39,44 
2.7 Section 2.7 notes - derivatives 1,2,3,4,5,11,13,15,19,21,25,28,29,31 
2.6 Section 2.6 notes - tangents, velocities, rates of change 3,5,6,14,15,17,18,20,22,23,26 
Thursday 9/202.5 Section 2.5 notes - limits involving infinity 2,3,7,8,9,10,11,12,19,21,23,46 
Tuesday 9/182.4 Section 2.4 notes - continuity 3,4,9,10,22,26,29,31,32,33,37,42,45,49In problem 45, "(6)" refers to the expression marked 6 next to Figure 5 on page 121, which gives the limits of the sine and cosine functions as x tends to zero. You can assume (6) is true.
2.3 1,3,5,9,12,13,19,20,25,30,35,37,41,46 
Tuesday 9/112.2 Section 2.2 notes - the limit of a function3,4,6,7,11,15,18,19,24,28 
2.1 Section 2.1 notes - tangents and velocities1,2,3,6,8,9 
Thursday 9/61.7 Section 1.7 notes - parametric curves5,7,8,15,16,17,20
Tuesday 9/41.5Section 1.5 notes - exponential functions5,9,13,17,19,23 
1.6Section 1.6 notes - inverse functions and logarithms3,5,9,15,21 
Friday 8/311.3Section 1.3 - new functions from old 2,3,5,13,16,29,37,39,43 
1.2Section 1.1/1.2 notes 1,2,3,4,13,15,17,19,20 
Inclass Problems, Sections 1 and 215 supplemental problems 
Thursday 8/301.1Section 1.1/1.2 notes 1,2,9,13,21,22,23,27,32,41,44,54Notes include section 1.2


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