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

12

5.9
Approximate integration

13

Appendix D (pg. A30-33), 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

8.2-3
Intro to Series

19

8.3
Comparison tests ctd, Integral Test and remainder estimate

20

8.2-3

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

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

8.7-8

HW 4 due

4

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

5

5.7 (p389-91)

6

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

9

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

10

Appendix G, 5.7 (p391-3), 6.1

HW 5 due

11

6.2, 6.3
Volumes, Density ctd

12

6.1-2, Density

13

6.2-3
Volumes ctd

16

Leftovers and Review

17

6.2-3, Review

HW 6 due

18

6.8
Probability

19

Review

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

25

7.3
Separable equations

26

7.1-3

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

7.3-4

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

Autumn 2014 -- Department of Mathematics, Stanford University