Math 42 Autumn 2014

Math 42 Schedule

Home Schedule Section Assignments Office Hours Homework Exams
This schedule is only tentative, and may be adjusted as necessary.

September

Monday Tuesday Wednesday Thursday Friday
22

First lecture

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

Prelminary study list deadline

23

First section meeting

5.5-5.6
Techniques: substitution (refresher), integration by parts

24

5.10
Improper integrals*

*Additional necessary background for 5.10: l'Hôpital's Rule (4.5)

25

5.10

26

5.10 ctd, Appendix D (pg. A30-33)
Improper integrals ctd., Rigorous limits involving infinity

October

Monday Tuesday Wednesday Thursday Friday
Sept.29

5.9
Approximate integration

Sept.30

Appendix D (pg. A30-33), 5.9

HW 1 due

1

5.9 ctd, 8.1 (thru p560 only), 8.2
Approximations ctd, Intro to Sequences & Series

2

5.9, 8.1

3

8.2-3
Intro to Series

6

8.3
Comparison tests ctd, Integral Test and remainder estimate

7

8.2-3

HW 2 due

8

8.4
Other convergence tests

9

8.3-4

10

8.5
Power series
Convergence Test Strategies handout

Final study list deadline

13

8.6
Power series representations

14

8.5-6

HW 3 due

15

Review

16

Review

Exam 1
7:30-9:30 p.m.
Click for info/location

17

8.7, 8.8
Taylor series and polynomials; Applications

20

8.7 ctd, 8.8
Taylor's Inequality

21

8.7-8

HW 4 due

22

5.7 (p389-91) plus handout
Advanced techniques I: trigonometric integrals and trigonometric substitution

23

5.7 (p389-91)

24

Appendix G plus 5.7 (p391-3)
Advanced techniques II: partial fractions

27

Start of applications unit: Areas, Volumes, Density (6.1-3 plus handout)

28

Appendix G, 5.7 (p391-3), 6.1

HW 5 due

29

6.2, 6.3
Volumes, Density ctd

30

6.1-2, Density

31

6.2-3
Volumes ctd

November

Monday Tuesday Wednesday Thursday Friday
3

Leftovers and Review

4

6.2-3, Review

HW 6 due

5

6.8
Probability

6

Review

Exam 2
7:30-9:30 p.m.

7

6.8, 7.1
Probability ctd, Normal distributions;
Intro to modeling with differential equations

10

7.1-2
Diff. eqns ctd; Direction fields and Euler's method

11

6.8, 7.1

12

7.3-7.4
Separable equations; modeling mixing and natural growth/decay

13

7.1-3

HW 7 due

14

7.4 ctd
Other problems: natural growth/decay and cooling

Course withdrawal and change of grading basis deadline

17

7.4 ctd; 7.5
Population models

18

7.3-4

HW 8 due

19

7.5
Population models ctd

20

7.5

21

7.6 ctd
Systems of differential equations

24

No class:
Thanksgiving Break

25

No class:
Thanksgiving Break

26

No class:
Thanksgiving Break

27

No class:
Thanksgiving Break

28

No class:
Thanksgiving Break

December

Monday Tuesday Wednesday Thursday Friday
1

7.6 ctd

2

7.6, Review

HW 9 due

3

TBA

4

Review

5

Review

Deadline to request Incomplete

8

Final Exam
7-10 p.m.

Autumn 2014 -- Department of Mathematics, Stanford University