Math 42 Winter 2015 
Math 42 Schedule 

This schedule is only tentative, and may be adjusted as necessary.
January
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
5
First lecture
Administrative stuff 5.15.6 Integration techniques up to integration by parts
Prelminary study list deadline
 6
First section meeting
5.55.6 Techniques: substitution (refresher), integration by parts
 7
5.10 Improper integrals^{*}
^{*}Additional necessary background for 5.10: l'Hôpital's Rule (4.5)
 8
5.10
 9
5.10 ctd, Appendix D (pg. A3033) Improper integrals ctd., Rigorous limits involving infinity

12
5.9 Approximate integration
 13
Appendix D (pg. A3033), 5.9
HW 1 due
 14
5.9 ctd, 8.1 (thru p560 only), 8.2 Approximations ctd, Intro to Sequences & Series
 15
5.9, 8.1
 16
8.23 Intro to Series

19
8.3 Comparison tests ctd, Integral Test and remainder estimate
 20
8.23
HW 2 due
 21
8.4 Other convergence tests
 22
8.34
 23
8.5 Power series
Final study list deadline

26
8.6 Power series representations
 27
8.56
HW 3 due
 28
Review
 29
Review
 30
8.7, 8.8 Taylor series and polynomials; Applications

February
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
2
8.7 ctd, 8.8 Taylor's Inequality
 3
8.78
HW 4 due
 4
5.7 (p38991)
Advanced techniques I: trigonometric integrals and trigonometric substitution
 5
5.7 (p38991)
 6
Appendix G plus 5.7 (p3913) Advanced techniques II: partial fractions

9
Start of applications unit: Areas, Volumes, Density (6.13 plus supplemental handout)
 10
Appendix G, 5.7 (p3913), 6.1
HW 5 due
 11
6.2, 6.3 Volumes, Density ctd
 12
6.12, Density
 13
6.23 Volumes ctd

16
Leftovers and Review
 17
6.23, Review
HW 6 due
 18
6.8 Probability
 19
Review
 20
6.8 Probability ctd, Normal distributions

23
7.12 Intro to differential equations; Direction fields and Euler's method
 24
6.8, 7.1
 25
7.3 Separable equations
 26
7.13
HW 7 due
 27
7.3 ctd; 7.4 Modeling: mixing, natural growth/decay and cooling
Course withdrawal and change of grading basis deadline

March
2
7.4 ctd; 7.5 Population models
 3
7.34
HW 8 due
 4
7.5 ctd; 7.6 Population models ctd
 5
7.5
 6
7.6 Systems of differential equations

Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
9
7.6 ctd
 10
7.6, Review
HW 9 due
 11
TBA
 12
Review
 13
Review
Deadline to request Incomplete






