Math 8
Calculus of Functions of One and Several Variables
Last updated June 25, 2009 14:49:15 EDT

## Final Exam: Saturday, June 2, 8-11 am, 007 Kemeny

The final is comprehensive, but you can expect roughly half of it to be on material covered since the last exam (Sections 14.1-14.4, 15.1-15.7), and half to be on the material from the first two exams. The style of the final will be similar to that of the two midterms.

**No calculators are allowed on the exams. You are also not allowed any notecard or formula sheet.**

The following material will NOT be covered:

• Partial fractions with irreducible quadratic factors in the denominator (8.4)
• Estimates of sums using the integral test (12.3)
• Taylor's Inequality (12.10)
• Proving that a function is equal to its Taylor series (12.10)
• Direction angles and direction cosines (13.3)
• Curvature, normal and binormal vectors (14.3)
• Tangential and normal components of acceleration, Kepler's laws (14.4)

Here are some practice problems from the textbook for the material in chapters 14 and 15. Remember that full solutions may be found on hotmath.com.

Section 14.1: 3, 9

Section 14.2: 17, 23

Section 14.3: 1, 3

Section 14.4: 17(a), 19, 27

Section 15.1: 45, 59

Section 15.2: 11, 13

Section 15.3: 25, 31, 49

Section 15.4: 1, 33

Section 15.5: 23, 39(c)

Section 15.6: 11, 31(a)

Section 15.7: 7, 17, 29

## Exam 2: Tuesday, May 8, 4-6 pm, 008 Kemeny

Here are solutions to Exam 2.

** Please send me an email if you have a conflict at this time and need to take the conflict exam from 6:30 to 8:30 pm.

The exam will cover sections 12.6, 12.8 - 12.10, and 13.1 - 13.5, EXCEPT for the following topics:

• Taylor's Inequality (12.10)
• Proving that a function is equal to its Taylor series (12.10)
• Direction angles and direction cosines (13.3)
**No calculators are allowed on the exams. You are also not allowed any notecard or formula sheet.**

Here are some practice problems from the textbook. Remember that you can find full solutions on hotmath.com.

Section 12.6: 15, 21, 23

Section 12.8: 9, 11, 17, 23

Section 12.9: 9, 15, 25, 27

Section 12.10: 15, 27, 29, 59

Section 13.1: 11, 17, 27, 35

Section 13.2: 23, 27

Section 13.3: 11, 21, 47

Section 13.4: 23, 27

Section 13.5: 13, 21, 35, 45

## Exam 1: Thursday, April 19, 4-6 pm, 008 Kemeny

Here are solutions to Exam 1.

** Please send me an email if you have a conflict at this time and need to take the conflict exam from 6:30 to 8:30 pm.

The exam will cover sections 8.1 - 8.4, 8.8, and 12.1 - 12.6, EXCEPT for the following topics:

• Partial fractions with irreducible quadratic factors in the denominator
• Estimates of sums using the integral test
• Ratio and Root tests
**No calculators are allowed on the exams. You are also not allowed any notecard or formula sheet.**

Here are some practice problems from the textbook. Remember that you can find full solutions on hotmath.com.

Section 8.4: 17, 35

Section 8.5: 7, 9, 13, 19, 21, 23

Section 8.8: 9, 11, 27, 37

Section 12.7: 1, 3, 5, 7, 9, 11, 19, 27, 31

Stephanie Treneer

Last updated June 25, 2009 14:49:15 EDT