MA 1021 - Calculus I - B-term 2014

Lecture        MT-RF-  2:00-2:50   SH306
Conference     ---R--  4:00-4:50   SH106
Lab            --W---  4:00-4:50   SH003

Instructor:

Office: SH 305C - Office Hours: 1-2pm

EMAIL: hservat

Quiz Solutions

• Quiz 1
• Quiz 2
• Quiz 3
• Quiz 4
• Quiz 5
• Quiz 6
• Quiz 7
• Final Exam

Text:

Assistance

Grading

There will be a 15 minute quiz at the beginning of each class on Friday.

These quizzes will count as 60% of your grade.

The lowest quiz is dropped.

There are no makeup quizzes.

The final exam will count 30%

Lab work and homework, will count for 10%.

We will cover Chapters 1 through 4 of the text, in line with the departmental syllabus.

MA 1021 Section Summary

1. Functions, operations on functions, transcendental functions (1.1-1.6)

2. Limit Concepts (2.1, 2.2)

3. Rigorous definitions, one-sided limits (2.3, 2.4)

4. Continuity (2.5)

5. Limits involving infinity (2.6)

6. Introduction to the derivative (3.1-3.4)

7. Derivatives of trig functions (3.5)

8. Chain rule (3.6)

9. Implicit Differentiation (3.7)

10. Derivatives of inverse functions: logs and inverse trig functions (3.8, 3.9)

11. Related rates (3.10)

12. Differentials and linear approximation (3.11)

13. Extreme values (4.1)

14. Mean value theorem (4.2)

15. First and second derivative tests, concavity, curve sketching (4.3-4.4)

16. Applied optimization (4.6)

17. Newton's Method (4.7)

Practice Problems

When doing these practice problems, keep in mind that the tests will all be closed book, closed notes, and without calculators.

 1.1  -  5,  6,  9, 11, 15, 17, 19, 25, 29, 37
 1.2  -  1,  2,  3,  4,  5,  6,  7,  9, 11, 17
 1.3  -  5,  7,  9, 11, 13, 15, 17, 19, 21
 1.5  -  1,  3,  5,  7,  9, 11--20, 21
 1.6  -  1 --6, 31, 41, 45, 47, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69
 2.1  -  1,  3,  5,  6,  7,  9, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 35
 2.2  -  1,  3,  5,  6,  7,  9, 13, 15, 17, 19, 21, 25, 27, 29, 31, 33, 35, 43, 45, 47, 49, 53, 55.
 2.4  -  1,  3,  5,  7, 13, 17, 19, 23, 25, 26, 27, 29, 33, 35, 39.
 2.5  -  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 13, 15, 17, 19, 23, 25, 29
 2.6  -  1,  3,  5,  9, 13, 15, 17, 19, 21, 23, 37, 39, 41, 43, 53, 55
 3.1  -  1,  3,  5,  9, 11, 13, 19, 21, 25
 3.2  -  1,  3,  7,  9, 11, 13, 15, 23, 27, 28, 29, 30, 31, 43, 44, 45, 46, 47, 48
 3.3  -  1,  3,  5,  7,  9, 11, 13, 15, 17, 21, 23, 25, 29, 31, 33, 37, 39, 41, 45, 51, 53
 3.4  -  1,  3,  5,  7, 15, 21, 23
 3.5  -  1,  3,  7,  9, 11, 15, 17, 19, 35, 39
 3.6  -  9, 11, 13, 15, 17, 19, 21, 23, 31, 32, 33, 35, 37, 39, 41, 43, 47, 51, 53, 55, 57, 61, 65, 67, 71, 73, 75, 77
 3.7  -  1,  3,  5,  7, 13, 15, 31, 33, 35, 37, 39
 3.8  - 11, 13, 15, 17, 19, 21, 25, 27, 29, 33, 35, 37, 41, 47, 51, 67, 71, 73, 83, 89 
 3.9  -  1,  3,  5,  7,  9, 11, 13, 15, 17, 21, 23, 29, 33
 3.10 -  7, 11, 13, 23, 25, 27, 31, 33, 39, 41, 45
 3.11 -  1,  3,  5, 11, 13, 17, 45, 47, 49, 51, 54, 59, 
 4.1  -  1,  3,  5,  7,  9, 11--14, 15, 17, 21, 23, 25, 27, 29, 31, 35, 37, 39, 45, 47, 53, 57, 61, 63, 65, 
 4.2  -  3,  9, 11, 13, 21
 4.3  -  1,  3,  5,  7,  9, 11, 19, 25, 27, 35, 37, 41, 43 (sketch the curves)
 4.4  -  9, 11, 13, 15, 17, 18, 21, 27, 29, 41, 43, 45, 49, 51, 57, 81, 83, 85, 89, 93, 95, 97, 101
 4.6  -  1,  3,  5,  7,  9, 11, 13, 15, 19, 23, 24, 27, 28, 31, 38, 39, 40, 42

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