MATH 3313--Fall 2003--Tintera

MATH 3313.001
Fall 2003
Foundations to Advanced Mathematics---Course Topics and Lab Calendar
Tentative Outline of Course Topics

This calender will be updated as the semester progresses. Please check it regularly. Last updated: October 14, 2003

Week

Week of

Topic/Material Covered
Work Due

1

August 25

Th: Introduction, Syllabus

None

2

Sept. 1

T: 1.1

R: 1.2, 1.3

T: A substance is 99% water. Some of the water evaporates. The result is 98% water. What fraction of the water evaporated. Solve numerically, algebraically, diagramatically and with a function

T: Write a math autobiography.

T: Which continent has the lowest highest mountain?

Th: By writing powers of 10 as 1 plus a multiple of 3, show that 43,285 is 4+3+2+8+5 plus a multiple of 3.

Th: Turn in completed exercises from Section 1.1 or write a statement: 'I can comfortably do exercises from Section 1.1.'

3

Sept. 8

T: 1.4, 1.5

R:1.6, 1.7

Th: Turn in completed exercises from Section 1.2 and 1.3 or write a statement: 'I can comfortably do exercises from Section 1.2 and 1.3.'

Th: Justify the rule 'A number is divisible by 2 if it ends in 0, 2, 4,6 or 8.'

Th: Identify divisiblity rules according to whether you know them or can justify them.

4

Sept. 15

T:2.1, 2.2

R:2.3, 2.4

1.4: 2b-c, 3, 4c-d, 5a-b, 10a

1.5: 1, 3c, 4a, 7a, 10, 12

5

Sept. 22

T: 2.5, 2.6

R:

1.7: 1a-b, 2a-b, 3a-b, 5a-b, 6, 11a-b

2.1: 1, 7, 11, 15, 19b-e

2.2: "I can do the problems #1 - 7", 11, 14a-b, 17a-c.

6

Sept. 29

T:

R: Review

2.3: 1ak, 9, 18, 20cde

2.4: 1, 2, 6ab, 8agi, 14, 15bcd

2.5: 1, 11, 14, 15

7

Oct. 6

T: Review

R: Midterm

8

Oct. 13

T: 3.1,3.2

R: 3.3, 3.4

9

Oct. 20

T:3.4, 4.1

3.1: 1d, 3b, 5, 8bfj, 9a, 11abc, 18a, 20ef

3.2: 1bdi, 4abc, 5a, 6b, 8, 16abc

3.3: 1, 2a, 3, 9, 14

3.4: 1, 2, 7, 14, 24

10

Oct. 27

4.2, 4.3

Find integers p and q with q /= 0 so that p/q = 0.3282828... (28 repeated) and p/q is in least terms.

11

Nov. 3

5.1, 5.2, 5.3

4.1: I can do 1-7, 8abc, 9, 11, 18

4.2: I can do 1-4, 4, 6, 11, 13, 20

4.3: 9, 13, 17

12

Nov. 10

T: 6.1

R: 6.2

13

Nov. 17

T: Complex Numbers

R: Geometry of Complex Numbers

14

Nov. 24

R: Axiomatic Systems

R: Epsilon-Delta Proofs

15

Dec. 1

T: Presentations

R: Presentations

16 Dec. 8

T: Presentations

R: Final Exam, 4:30 - 7 PM

Week	Week of	Topic/Material Covered	Work Due
1	August 25	Th: Introduction, Syllabus	None
2	Sept. 1	T: 1.1 R: 1.2, 1.3	T: A substance is 99% water. Some of the water evaporates. The result is 98% water. What fraction of the water evaporated. Solve numerically, algebraically, diagramatically and with a function T: Write a math autobiography. T: Which continent has the lowest highest mountain? Th: By writing powers of 10 as 1 plus a multiple of 3, show that 43,285 is 4+3+2+8+5 plus a multiple of 3. Th: Turn in completed exercises from Section 1.1 or write a statement: 'I can comfortably do exercises from Section 1.1.'
3	Sept. 8	T: 1.4, 1.5 R:1.6, 1.7	Th: Turn in completed exercises from Section 1.2 and 1.3 or write a statement: 'I can comfortably do exercises from Section 1.2 and 1.3.' Th: Justify the rule 'A number is divisible by 2 if it ends in 0, 2, 4,6 or 8.' Th: Identify divisiblity rules according to whether you know them or can justify them.
4	Sept. 15	T:2.1, 2.2 R:2.3, 2.4	1.4: 2b-c, 3, 4c-d, 5a-b, 10a 1.5: 1, 3c, 4a, 7a, 10, 12
5	Sept. 22	T: 2.5, 2.6 R:	1.7: 1a-b, 2a-b, 3a-b, 5a-b, 6, 11a-b 2.1: 1, 7, 11, 15, 19b-e 2.2: "I can do the problems #1 - 7", 11, 14a-b, 17a-c.
6	Sept. 29	T: R: Review	2.3: 1ak, 9, 18, 20cde 2.4: 1, 2, 6ab, 8agi, 14, 15bcd 2.5: 1, 11, 14, 15
7	Oct. 6	T: Review R: Midterm
8	Oct. 13	T: 3.1,3.2 R: 3.3, 3.4
9	Oct. 20	T:3.4, 4.1	3.1: 1d, 3b, 5, 8bfj, 9a, 11abc, 18a, 20ef 3.2: 1bdi, 4abc, 5a, 6b, 8, 16abc 3.3: 1, 2a, 3, 9, 14 3.4: 1, 2, 7, 14, 24
10	Oct. 27	4.2, 4.3	Find integers p and q with q /= 0 so that p/q = 0.3282828... (28 repeated) and p/q is in least terms.
11	Nov. 3	5.1, 5.2, 5.3	4.1: I can do 1-7, 8abc, 9, 11, 18 4.2: I can do 1-4, 4, 6, 11, 13, 20 4.3: 9, 13, 17
12	Nov. 10	T: 6.1 R: 6.2
13	Nov. 17	T: Complex Numbers R: Geometry of Complex Numbers
14	Nov. 24	R: Axiomatic Systems R: Epsilon-Delta Proofs
15	Dec. 1	T: Presentations R: Presentations
16	Dec. 8	T: Presentations R: Final Exam, 4:30 - 7 PM