MAC 2281 - 004, Engineering Calculus I

Instructor:

Dr. Wenxiu Ma, Office: PHY307, Phone: 974-3140

Office hours:

MW3:00-4:00pm and F10:00-11:00am (tentative) or by appointment.

Prerequisite:

Two years of high school algebra, and a semester of trigonometry or MAC1147 or MAC1114 or MAC1140 or equivalent.

Text:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

Chapters 0 - 5: Sections 0.1-0.8 (two weeks); Sections 1.1-1.4 (two weeks); 2.1-2.9 (four weeks); Sections 3.1, 3.3-3.8 (three weeks); Sections 4.1-4.6 (three weeks); Sections 5.1-5.2 (one week)

Remark: Most lecture material is chosen from the textbook and the instructor will also provide some additional examples and different proofs.

Tests:

There will be three midterm tests and a final examination. All are two hours.

• Test 1. Friday, September 20 (tentative)
• Test 2. Friday, October 18 (tentative)
• Test 3. Friday, November 15 (tentative)
• Final exam. 3:30am-5:30pm, Wednesday, December 11 (tentative)

The contents covered by the tests will be announced in class. The final exam will be comprehensive. No make-up test.

Assessment scheme:

- Attendance is optional, but highly recommended.

- Each of the tests counts for 20%. The final exam counts for 40%. Homework counts for 5% as bonus points. The total score computed by the above weights is your final score, the maximum being 105.

- Your grade is determined by your final score: 90 for A-, 80 for B-, 65 for C-, 50 for D-, etc. Other plus and/or minuses will be assigned accordingly.

Homework assignments:

- There will be six homework assignments for the course. All chosen exercises will help you to develop your skills in calculation and more importantly, to develop reasoning skills and your ability to apply the techniques you have learned to concrete situations.

- You are required to do all homework exercises. Doing exercises is the best way to deepen your understanding of the topics and to convince yourself that you understand them.

- Keep in mind the following statement by D. Hilbert: "A mathematical problem should be difficult to entice us, yet not inaccessible lest it mock our efforts."

- Homework assigned in Week 6 and Week 10 will be collected on Friday, October 11 and Friday, November 8 (tentative). The grader will only pick some of the problems to check.

• Assignment 0:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

0.1 (pp. 9-10): 7,17, 27, 41 (August 26)

0.2 (pp. 20-23): 3, 7, 45, 69, 71 (August 28)

0.3 (pp. 32-33): 9, 41, 51 (August 30)

0.4 (pp. 39): 7, 15, 39 (August 30)

0.5 (pp. 48-49): 5, 31, 47, 53 (September 4)

0.6 (p. 61): 23, 43, 57, 61 (September 4)

0.7 (pp. 70-71): 5, 17, 29, 41, 53 (September 6)

0.8 (pp. 76-77): 3, 15 (September 6)

• Assignment 1:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

1.1 (pp. 89-90): 3, 5, 7, 15, 23 (September 9)

1.2 (pp. 100-101): 7, 11, 17, 19, 25, 33, 43, 47 (September 11)

1.3 (pp. 112-113): 13, 27, 35, 43, 49 (September 16)

1.4 (p. 122): 7, 19, 35, 43, 49 (September 18)

• Assignment 2:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

2.1 (pp. 161-162): 9, 13, 25, 35, 41, 53 (September 23)

2.2 (pp. 173-175): 11, 15, 17, 23, 43 (September 27)

2.3 (pp. 184-185): 17, 29, 35, 43, 51 (September 27)

2.4 (pp. 194-196): 7, 11, 25, 37, 45 (September 30)

2.5 (pp. 203-205): 7, 17, 31, 35, 49 (October 2)

2.6 (pp. 211-213): 7, 15, 25, 37, 45 (October 4)

2.7 (pp. 218-220): 11, 31, 47, 51, 59 (October 7)

2.8 (pp. 227-229): 7, 15, 19, 29, 45 (October 9)

2.9 (pp. 236-239): 3, 9, 17, 25, 33, 45 (October 11)

• Assignment 3:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

3.1 (pp.249-251): 5, 27, 39, 43, 47 (October 21)

3.3 (pp.267-269): 5, 13, 17, 21, 29, 33, 37, 49, 51, 61 (October 23)

3.4 (pp.276-277): 5, 11, 15, 41, 43 (October 28, Week 10)

3.5 (pp.284-286): 5, 9, 23, 41, 55 (October 30, Week 10)

3.6 (pp.296-297): 3, 7, 23, 53, 57 (November 1, Week 10)

3.7 (pp.306-309): 7, 13, 19, 29, 35 (November 4)

3.8 (pp.316-319): 5, 9, 19, 35, 41 (November 6)

• Assignment 4:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

4.1 (pp.331-334): 7, 15, 35, 61, 67 (November 13)

4.2 (pp.340-341): 5, 21, 27, 33, 39 (November 18)

4.3 (pp.348-350): 3, 11, 31, 33, 35 (November 20)

4.4 (pp.361-364): 13, 19, 27, 33, 55, 65 (November 23)

4.5 (pp.371-374): 7, 33, 43, 51, 55 (November 25)

4.6 (pp.381-384): 5, 17, 23, 49, 67 (November 27)

• Assignment 5:

Robert T. Smith and Roland B. Minton, CALCULUS, 2nd edition, McGraw-Hill, 2002

5.1 (pp.408-410): 5, 11, 15, 27, 45 (December 1)

5.2 (pp.423-425): 5, 9, 21, 29, 37 (December 3)

Announcements:

Test 1 will cover all sections in Chapter 0 and Chapter 1 which were taught, and will include 5 questions for Chapter 0 and 5 questions for Chapter 1. Good Luck! (September 18)
There is an engineering tutor center at ENB 229, which offers free tutoring services for Fall 2002, from 11:00am - 8:00pm from Monday to Thursday, from 11:00am - 5:00pm Friday. You are welcome to go to the center to ask questions about your various courses including MAC2281 - Engineering Calculus I. (September 25)
Your answer scripts of Test 1 were returned today and I provided you with my solutions to Test 1. (September 25)
Please remember that the homework assigned in Week 6 will be collected on Friday, October 11. (September 30)
The Week 6 went from 30 Sept. to 6 Oct. So the homework assigned in Week 6 is 2.4, 2.5 and 2.6. (October 9)
Our tutor is Mr. Zhongxue Chen (zchen9@helios.acomp.usf.edu). Please do not hesitate to contact both of us if you need additional tutorial or help. (October 14)
Test 2 will cover all sections in Chapter 2, and will include 10 questions. I wish all of you study well! (October 15)
Please come to my office to get a copy of my solutions to Test 2 if you like, since some students deferred taking their make-up tests (October 21).
Please remember that the homework assigned in Week 10 (see the homework assignments above) will be collected on Friday, November 8. (November 6)
Test 3 will cover all sections in Chapter 3 except section 3.2, and will include 10 questions. I wish you study well. (November 13)
The final examination is comprehensive and the exam time is 3:30am-5:30pm, Wednesday, December 11. Happy Thanksgiving Holidays. (November 27)

Links to Related Sites:

"If you look around, you can see a lot". "Farther along, we'll know all about it. Farther along, we'll understand why?"

Internet Calculus Resources at Math Forum: Calculus

The Number Pi at The Pi Page

The Origin of Zero at What is the origin of zero?

MAA Florida Section Site at St. Petersburg College

Check out the netLibrary eBook: What Is Mathematics, Really?

Calculus on the Web at The COW Library

Ask Mr. Calculus

Live Calculus Study Guide: Calc Chat

Math Archives - Calculus Resources On-line

If you have questions or suggestions, please leave your messages at mawx@math.usf.edu