Math 42 Winter 2015

Math 42 Schedule

Main page Schedule and syllabus Instructors, TAs, office hours Sections Homework Exams
This schedule is only tentative, and may be adjusted as necessary.

January

Monday Tuesday Wednesday Thursday Friday
5

First lecture

Administrative stuff
5.1-5.6
Integration techniques up to integration by parts

Prelminary study list deadline

6

First section meeting

5.5-5.6
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

8.2-3
Intro to Series

15

8.2-3

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

8.3-4

23

8.5
Power series

Final study list deadline

26

8.6
Power series representations

27

8.5-6

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

8.7-8, 5.7

HW 4 due

4

5.7 (p389-91)
Advanced techniques I: trigonometric substitution and partial fractions

5

5.7 (p389-91)

6

Start of applications unit: area, volume, density (6.1-6.3)

9

6.2, 6.3: volumes, density ctd

10

5.7 ctd; 6.1-6.2

HW 5 due

11

6.2, 6.3
Volumes, Density ctd

12

6.2-6.3

13

6.8 Probability

16

Holiday, no lecture

17

6.2-3,6.8

HW 6 due

18

Review

19

Review

Second midterm (7pm Braun)

20

6.8
Probability ctd, Normal distributions

23

7.1-2
Intro to differential equations; Direction fields and Euler's method

24

6.8, 7.1

HW 7 due

25

7.3
Separable equations

26

7.1-3

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

7.3-4

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 (7pm Annenberg Auditorium)

Winter 2014 -- Department of Mathematics, Stanford University