Homework Assignments for MA3511 Math for Chem (Fall 2005)

Lynn S. Bennethum                        Mon. and Wed., 2:00-3:50 pm, PL 211

Date

What is Due

Notes

Wed. Dec. 14

FINAL EXAM.  2 sides of 3x5 cards or one side of 8.5x11” paper will be allowed for notes.  No technology.  The normal distribution table and flow chart for determining the symmetry group will be provided.   The exam is from 2-4pm in PL 211 (our normal room).

 

Mon. Dec. 12

Time to ask questions for review on the final – 2-4pm in Plaza 348.

 

Mon. Dec. 5

EXAM 3 Material on ODE and linear algebra through Cramer’s rule. 

 

Wed. Nov. 30

Steiner Ch 17 13, 15, 16, 18

Steiner Ch 18:  matrix algebra problems,  inverse of a matrix problems

Steiner Ch 19:  1, 2

Happy Thanksgiving!  Please see detailed notes on particular problems below.

Wed. Nov. 16

Steiner Ch 12, Section 10

Linear Algebra Supplemental problems (handed out in class)

Steiner Chapter 17  1, 4, 6, 10

 

Wed. Nov. 9

Steiner Ch 11  33, 35, 37, 21, 23, 26 (see hint below), 27

 

ODE supplemental problems 6, 7, and 8

  We will do a problem similar to problem 8 in class on Monday.

Wed. Nov. 2

EXAM 2  Material from Stewart 12.2 through

ODE supplemental problems 1-5

ODE supplemental problems 1-5 will not be turned in.  Solutions will be provided on Mon. Oct. 31st.

 

No technology of any kind will be allowed.  Both sides of 3x5” note card will be allowed for notes.

Wed. Oct. 26

Probability Homework sheet problems 6 and 7

Steiner Ch 11,   odd problems 1-25, omitting 21

 

Wed. Oct. 19

Probability Homework sheet problems (omit 1c):

1, 2, 3, 4, and 5

Problems from Steiner Ch 8 (Complex numbers)

Problems 6 and 7 on the Probability Homework will not be due until next week.

Wed. Oct. 12

Stewart, Sections 12.4, 12.7

Steiner, Chapter 10

Stewart, Section 12.8

 

Wed. Oct. 5

Stewart Sections 12.2, 12.3

Calculus Homework sheet problems 3 and 4

Calculus Homework sheet is on our web site.  It’s the same sheet as from before.

Wed. Sept. 28

Test on material covered in class through Stewart Section 9.7

No technology of any kind will be allowed.  Both sides of 3x5” note card will be allowed for notes.

Wed. Sept. 21

Problems from Stewart Sections 11.7 and 11.8

First test will be on Wed. Sept. 28 and will cover material through Stewart Section 9.7

Wed. Sept. 14

Steiner, Ch 9:   35, 36, 45

All problems listed from Stewart Section 11.6

Please note that we will go over sample problems for Section 11.6 on Monday (Sept. 12), but please attempt them.  You may want to review vectors and their properties in Stewart, Sections 9.2 and 9.3.

Wed. Sept. 7

Steiner, Ch 9: 26, 27, 28

Problems from Calculus Homework sheet, 1 and 2
Problems listed from Steiner 29, 30, 31, 17, 18, 33

 

Wed. Aug. 31

All problems listed from Stewart Sections 11.1, 11.3, 11.4
Steiner problems listed through 15. 

Quiz over pre-requisite material.  Please turn in homework in order listed below.


 

Texts

    • Steiner, Erich,  The Chemistry Maths Book,  Oxford Science Publications, 2001
    • Stewart, James, Calculus, Concepts and Contexts, Second Ed, Brooks/Cole, 2001
    • Carter, Robert L., Molecular Symmetry and Group Theory , John Wiley and Sons, 1998

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Partial Derivatives and Total Differential

 

Stewart, Section 11.1 (Introduction to Functions of Several Variables):

1, 6, 10, 30 (use Derive or other technology and label all curves ), 31-36


Steiner, Ch 9:

1, 2


Stewart, Section 11.3 (Partial Derivatives):

5, 27, 62a,b; 68, 71, 73


Steiner, Ch 9:

5, 7, 11, 14, 15

 

Stewart, Section 11.4 (Differentials)

19, 25, 30

 

Steiner, Ch 9:

26, 27, 28

 

Calculus Homework (pdf file)

1, 2


Steiner, Ch 9:

29, 30, 31, 17, 18, 33, 35, 36, 45

Note that the answers in the back of Steiner are not correct in the sense that for problems 29 and 30 the answer should be expressed in terms of ‘t’ only, and in problem 31, the answer should be expressed in terms of ‘u’ only.

 

Stewart, Section 11.6 (Directional Derivatives and Gradients):

11, 15, 19, 20, 30, 32, 41


Stewart, Section 11.7 (Extrema of Functions of Two Variables):

1, 2, 3, 7, 10  (For 7 and 10, find the critical pts by hand, check using technology, no need to turn in graph)


Stewart, Section 11.8 (Lagrange Multipliers):

1, 3 (solve completely by hand), 6, 15, 37

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


Integration and Probability

 

Stewart, Section 9.7 (Cylindrical and Spherical Coordinates)

3, 5, 8, 9, 11. 14, 21, 24, 26, 31

Stewart, Section 12.2  (Double integrals over rectangular regions)

1, 4, 7, 12, 16, 25


Stewart, Section 12.3  (Double Integrals over generalized regions)

1, 9, 10, 29, 38, 46 (graph regions first, though you don’t have to turn this in)

 

Calculus worksheet (Indefinite double integrals), (see pdf file above)

 3, 4


Stewart Section 12.4  (Integration in Polar Coord)

3, 5, 8, 11, 14, 19


Stewart, Section 12.7  (Triple Integrals)

5, 6, 9, 26  (For 26:  a good picture of the region is essential)


Steiner, Ch 10

14, 16, 19, 20


Stewart, Section 12.8 (Triple Integrals in spherical and cylindrical coord)

1, 4, 11, 19, 32


Probability Homework (pdf file)

Steiner, Ch 8 (Complex numbers)

1, 5, 8, 19, 26, 27, 37, 47, 49

 

 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
ODE and Kinetics 


 Steiner Chapter 11  Separable Equations

1, 3, 5, ..., 19;  23, 25   Note:  Verifying solution does not mean deriving the solution.


ODE Supplemental problems (Separable Equations - Kinetics)

1, 2, 3, 4, 5


Steiner Chapter 11  First-order ODE's - solve using either way (separation of variables or using an integrating factor)

 33, 35, 37, 21, 23, 26 (hint: use total differentials), 27


ODE Supplemental problems (First-order - Kinetics)

 6, 7, 8


Steiner Section 12.10 (second-order homogeneous ODE's with constant coeff)

 2, 5, 7, 9, 11, 13, 14, 16


ODE Supplemental Homework problems (pdf file)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


Linear Algebra

 

  Linear Algebra Supplemental problems (pdf file) (solving systems of equations).

 

Steiner Chapter 17 (determinants)

1, 4, 6, 10, 13 (solve for x only), 15 (solve for y only), 16, 18


Steiner Ch 18 (matrix algebra)

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 26, 29, 36, 37


Steiner Ch 18 (inverse of a matrix)

44, 45 (must do by hand), 46


Steiner Ch 18 (linear transformations)

50ii, iiii, iv; 51,  53, 54; 52


Steiner Ch 19 (solving systems of equations by inverting the matrix)

1, 2


Steiner Ch 19 (eigenvalues and eigenvectors)

4, 6, 9, 11, 14i, 15, 17

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Symmetric Groups

 

HW 1: 1) Determine the matrix multiplication table for symmetries of a) the triangle, and b) the group generated by C_6 = {E, C_6, C_6^2,...}
2) Determine the group generated by {C_4, sigma_v} (no complete multiplication table necessary, but you may find it useful to start by trying to complete it).
3) Build  a Tetrahedron (MX_4) and bring it to class on


Carter, Chapter 1

1.1a,c,e; 1.2, 1.3, 1.4a,c; 1.6b,c,e,h,j; 1.10j,u,x


Carter, Chapter 2

2.1, 2.2a; 2.3a,b,c,d,f; 2.4 (Write down all multiplications which would need to be checked. Verify 5 of them), 2.5a,b; 2.6a,b,c; 2.7a,b,c, 2.8