Click HERE to see course syllabus (in MS-Word format).

Click HERE to see course syllabus (in Adobe PDF format).

Extra Office Hours next week!

M-F 3-5

Important Dates

Days Off

• Monday October 8 (substitute monday on October 9!)
• Wednesday November 21 - Friday November 23

Exams

• Exam 1 - Friday October 12
• Exam 2 - Friday November 16
• Final Exam - Saturday December 15 - [12:30 - 2:30]

Homework Assignments (Non turn-in)

Week 1

• Wed, Sep. 5
  • 1.1 & 1.2: 1,3,9,13,17,21,33
• Fri, Sep. 7
  • 1.3: 1,3,5,7

  Week 2

• Mon, Sep. 10
  • 1.3: 9,11,17
• Wed, Sep. 12
  • 1.3: 23,25,29,33
  • Turn in #1
  • Look here to see a sample program that computes binomial coefficients.
• Fri, Sep. 14
  • 1.4: 1,3,5,7,13,15

  Week 3

• Mon, Sep. 17
  • Ch. 1 Supplementary Exercises: 1,5,7,11,13,23
• Wed, Sep. 19
  • Turn in #2
  • 2.1: 1,3,5,7,8,9
• Fri, Sep. 21
  • 2.1: 11,13

  Week 4

• Mon, Sep. 24
  • 2.2: 1,3,5,7,13,15
• Wed, Sep. 26
  • Turn in #3
  • 2.2: 19, 20(b)
• Fri, Sep. 28
  • 2.4: 1,3,7,9,21
  • Recall our discussion of the following situation:
  • p(x)="x is a prime number"
  • q(x)="2^x-1 is a prime number" (Such a prime is called a Mersenne prime.)
  • We observed that for some x, p(x)->q(x) but not all.
  • As to the converse, q(x)->p(x), it turns out that this is true for all x
  • Here is a demonstration of this fact.

  Week 5

• Mon, Oct. 1
  • Ch. 2 - Supplementary Exercises: 1,7,13
• Wed, Oct. 3
  • Turn in #4
  • 3.1: 1,3,5,9,13,15 (Read number 23)
• Fri, Oct. 5
  • 3.2: 1, 3, 5 (ref. P.137), 7
  • Here is quick discussion of the proof that there are more real numbers in the interval [0,1] than natural numbers N.

  Week 6

• Tue, Oct. 9 (Substitute Monday)
  • none
• Wed, Oct. 10
  • 3.2: 9,11,13,17
• Fri, Oct. 12
  • Exam 1

  Week 7

• Mon, Oct. 15
  • 3.3/3.4 (P.156) # 1,3,5,9
• Wed, Oct. 17
  • Turn in #5
  • Ch. 3 - Supplementary Exercises: 1,7,9,11
• Fri, Oct. 19
  • 4.1 # 1,5,7,11

  Week 8

• Mon, Oct. 22
  • Using the product rule and induction, show that d/dx (f(x))ⁿ = n(f(x))^{n-1}f '(x) for all positive integers n.
• Wed, Oct. 24
  • Turn in #6
  • 4.3 # 3,5,7,11,13,19
• Fri, Oct. 26
  • 4.4 # 1,3,5,7,11,13

  Week 9

• Mon, Oct. 29
  • (4.4 above)
• Wed, Oct. 31
  • Turn in #7
  • 4.5 # 1,3,5,9
• Fri, Nov. 2
  • Ch. 4 - Supplementary Exercises: 1,3,5,7

  Week 10

• Mon, Nov. 5
  • none
• Wed, Nov. 7
  • Turn in #8
  • 5.1 # 1,3,5,7,11
• Fri, Nov. 9
  • 5.2 # 1,3,5,7,11,13

  Week 11

• Mon, Nov. 12
  • 5.3 # 1,3,5
• Wed, Nov. 14
  • (see Wed.)
• Fri, Nov. 16
  • Exam 2

  Week 12

• Mon, Nov. 19
  • none
• Wed, Nov. 21
  • -
• Fri, Nov. 23
  • -

  Week 13

• Mon, Nov. 26
  • 5.6 # 1,3,5
• Wed, Nov. 28
  • 5.7 # 1 (a,c,f), 3
  • Ch. 5 - Supplementary Exercises: 1,3,5,11(a),26
  • Turn in #9
• Fri, Nov. 30
  • none

  Week 14

• Mon, Dec. 3
  • none
• Wed, Dec. 5
  • 7.1 #1,5
  • 7.4 #1,5,7
  • Turn in #10
• Fri, Dec. 7
  • none

  Week 15

• Mon, Dec. 10
  • none

Homework Assignments (Turn In!)

• #1. Assigned - Wed. Sep. 12 (Due Fri. Sep. 14)
  • 1.2 #30 (P.14)
• #2. Assigned - Wed. Sep. 19 (Due Fri. Sep. 21)
  • 1.4 #18 (P.35) - Note, we want x₁+x₂+x₃=6 AND x₁+x₂+x₃+...+x₇=37 SIMULTANEOUSLY!
• #3. Assigned - Wed. Sep. 26 (Due Fri. Sep. 28)
  • 2.2 #18
• #4. Assigned - Wed. Oct. 3 (Due Fri. Oct. 5)
  • 2.4 #18
• #5. Assigned - Wed. Oct. 17 (Due Fri. Oct. 19)
  • 3.1 #14 (a),(b)
• #6. Assigned - Wed. Oct. 24 (Due Fri. Oct. 26)
  • 4.1 #2 (b) Show all work!
• #7. Assigned - Wed. Oct. 31 (Due Fri. Nov. 2)
  • 4.3 #10
  • This question asks you to prove that if n>1 is odd, then 8|(n² -1)
  • Now this can be proven in two ways
    • (a) Induction together with the fact that any odd integer is of the form 2k+1 for some integer k.
    • (b) Realizing that any odd integer can be written in either the form 4k+1 or 4k+3 for some integer k.
• #8. Assigned - Wed. Nov. 7 (Due Fri. Nov. 9)
  • 4.5 #16
• #9. Assigned - Wed. Nov. 28 (Due Fri. Nov. 30)
  • 5.2 #16
• #10. Assigned - Wed. Dec. 5 (Due Fri. Dec. 7)
  • 5.6 #14

Miscellany (Look here for additional materials!)

Click here for the answer key to the first exam.

Click here for the answer key to the second exam.