Calculus II

 

Text: 
Calculus (Early Transcendentals),  5th edition, by J. Stewart.

Instructor: 
Slawomir Kwasik
Email: kwasik@math.tulane.edu
309 Gibson Hall:  862-3437

 

Course information:

Calculus I covered approximately the first six chapters of the text. This course will cover Chapters 7 through 11. There will be four one-hour tests during the semester and a final examination.  The best three of the four one-hour tests (tentative schedule is given below) will determine about 45% of your final grade and the final exam will determine about 35% of your final grade. The remaining 20% will be based the homework. There will be no makeups; if you are forced to miss a test, you need to present me with a letter from the Dean's office or the Student Health Center. If the excuse is accepted, then your remaining tests will be counted more heavily in computing the final grade.

It's vital to do your homework timely.

Graphing calculators are required. The Texas Instruments TI-84 is recommended, but see http://www.math.tulane.edu/undergrad/calculator.html.  Calculators with symbolic manipulation capabilities are NOT acceptable.

 

                                                                       SYLLABUS

Lesson

Est. Date

Sections

Assignment

0

17 Jan

Review of integral, area, FTC

5.2: 36,40,51,56

5.3: 5,7,8,19,20,28,39

5.4: 1,5,11,17,29

1

18 Jan

Review of integral, area, FTC

 

2

20 Jan

5.5 Substitution

5.6 Logarithm

5.5 1,2,3,13,19

5.6 1, 3

3

23 Jan

Same as 2

 

4

25 Jan

6.2 Volumes

6.4 Work

6.2: 1,2,3,5,31,49

6.4: 1,3,5,8,14,29

5

27 Jan

Same as 4

 

6

30 Jan

7.1 Integration by parts

7.2 Trig integrals

7.1: 3,4,5,15,61

7.2: 1,2,3,4

7

1 Feb

Same as 6

 

8

3 Feb

7.3 Trig substitution

7.4 Partial fractions

7.3: 1,2,3,7

7.4: 1,2,3,4,7,11,13,14

9

6 Feb

Same as 8

 

10

8 Feb

7.5 Strategy (read)

7.7 Approx integration

7.7:  3,4,7,10,22

11

10 Feb

7.8 Improper integrals

1,7,13,20,43,51, 70

12

13 Feb

8.1 Arclength

8.2 Surface area

 8.1: 1, 2, 5 20, 22, 30ab 8.2: 1, 4, 5, 14, 17, 29

Test 1

14 Feb

 

  

13

15 Feb

Talk about test

 

14

17 Feb

Same as 12

 

15

20 Feb

9.1 Modeling

9.2 Euler method

 9.1: 1, 3, 4, 7, 9, 10 9.2: 1, 3, 5, 19, 22, 24

16

22 Feb

9.3 Separable eqns

9.4 Exponential growth

 9.3: 1, 6, 11, 14, 18, 36, 39, 42a

9.4: 2, 3, 5, 10, 15, 19, 20

17

24 Feb

Same as 15

 

18

6 Mar

9.5 Logistic eqns

9.6 Linear eqns

 9.5: 6, 8, 11acd (use phase line not directional field) 9.6: 1, 2, 3, 4, 5, 6, 11, 29, 33, 35

Test 2

7 Mar

 

  

19

8 Mar

Talk about test

 

20

10 Mar

Same as 17

 

21

13 Mar

10.1 Parametric curves

10.2             "

 10.1: 1,2,3,5,6,12,15,19,23

10.2: 1,3,4,17,22,31,37,40

22

15 Mar

Same as 19

 

23

17 Mar

10.3 Polar coords

10.4      "

 10.3: 3,4,5i,7,8,9,10,17,29

10.4: 1,5,6,8,17,48

24

20 Mar

Same as 21

 

Test 3

21 Mar

 

  

25

22 Mar

Talk about test

 

26

24 Mar

11.1 Sequences

11.2 Series

 11.1: 2,16,18,20,27,29,33

11.2: 9,10,15,21,22,30,35,58

27

27 Mar

11.3 Integral test

11.4 Comparison test

11.3: 1,5,6,15,20,23,25,32

11.4: 1-5,9,10,24,37,461111

28

29 Mar

11.3, 11.4

 

29

31 Mar

11.5 Alternating series

11.6 Ratio test

 11.5: 3,7,11,14

11.6: 2-10,12,18,23,29,31

30

3 Apr

11.5, 11.6

 

31

5 Apr

11.8 Power series

11.9 Rep’n of functions as power series

 11.8: 3,4,6,7,8,10,12,13,16,19,21

11.9: 3,4,6,8,10,11,13,14,18,23

32

7 Apr

11.8, 11.9

 

33

10 Apr

11.10 Taylor and Maclaurin series

 11.10: 2,4,6,11,13,18,26,

27,28,39,48,49,60

34

12 Apr

11.10

 

35

19 Apr

11.11 Binomial series

 11.11: 1,2,3,7,9,13,15,18

36

21 Apr

11.12 Applic’n of Taylor Polynomials

 11.12: 1,13,18,19,20,25,27,29

37

24 Apr

11.10—11.12

 

Test 4

25 Apr

 

  

38

26 Apr

Talk about test

 

39

28 Apr

Review