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, 5.9 (approximate integration)

12
5.9 ctd, 8.1 (thru p560 only), 8.2 Approximations ctd, Intro to Sequences & Series
 13
5.9,8.1
HW 1 due
 14
8.23 Intro to Series
 15
8.23
 16
8.3 Comparison tests ctd, Integral Test and remainder estimate

19
Holiday  no lecture
 20
Review/leftover
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
First midterm (7pm Cubberley)
 28
8.7, 8.8 Taylor series and polynomials; Applications
 29
8.7, 8.8
HW 3 due
 30
8.7, 8.8 Taylor's inequality

February
Monday 
Tuesday 
Wednesday 
Thursday 
Friday 
2
Leftover from 8.7, 8.8.
Advanced techniques: trig substitution, partial fractions (5.7).
 3
8.78, 5.7
HW 4 due
 4
5.7 (p38991)
Advanced techniques I: trigonometric substitution and partial fractions
 5
5.7 (p38991)
 6
Start of applications unit: area, volume, density (6.16.3)

9
6.2, 6.3: volumes, density ctd  10
5.7 ctd; 6.16.2
HW 5 due
 11
6.2, 6.3 Volumes, Density ctd
 12
6.26.3
 13
6.8 Probability

16
Holiday, no lecture
 17
6.23,6.8
HW 6 due
 18
Review
 19
Review
Second midterm (7pm Braun)
 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
HW 7 due
 25
7.3 Separable equations
 26
7.13
 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

16
Final exam






