# Math 1425: Business Calculus I

#### Fall 2009

Synonym: 42091, Section: 002, Northridge 2245
Monday / Wednesday 1:30 – 2:10 PM

and

Synonym: 42092, Section: 003, Northridge 2244
Tuesday / Thursday 12:25 - 2:05 PM

General information about the prerequisite courses required for ACC calculus courses (and this differs between "Business Calculus I" and "Calculus I") is found here.

#### Course Outline and Approximate Calendar:

Please note:  schedule changes may occur during the semester.
Any changes will be announced in class.

 Week Sections Week Sections 1 Intro 6.1, 1.1 9 3.1- 3.3, and 6.2 exp and ln problems 2 1.2-1.3, 6.2 concept of partial der. 10 3.4,3.5 3 1.4-1.6, 6.2 computations of par.der. 11 3.6, Test 4 1.7, Test 12 4.1, 4.2 5 2.1, 2.2, 2.3 and 6.2 sec. order partials 13 4.3, 4.4 6 2.4, 2.5 14 4.5, 5.1 7 6.3, 2.6 15 Test, 5.2 8 Test, Appendix 16 Review & Comprehensive Final Exam

#### Business Calculus I, MATH 1425, Learning Outcomes

• Evaluate limits of functions from their graphs and/or equations.

• Analyze and apply the notions of continuity and differentiability to algebraic functions.

• Determine derivatives for functions involving powers, exponentials, logarithms and combinations of these functions and solve business and economic applications using these derivatives.

• Use derivatives to construct graphs of selected functions.

• Use basic integration techniques to solve simple differential equations.

• Demonstrate the connection between area and the definite integral.

• Integrate selected functions and solve business and economic applications using these results.

• Apply the Fundamental Theorem of Calculus to evaluate definite integrals.

• Apply the concepts of limits, derivatives and integrals to solve problems involving functions unique to business applications and interpret these concepts graphically.

Additional information about ACC's mathematics curriculum and faculty is available on the Internet at http://www.austincc.edu/math/

#### MATH 1425 Default homework Assignments

1.1    1,3, 5,9, 11,13, 15, 19, 21, 25, 29, 31, 39, 41, 43,49, 53, 71, 75

6.1 *            1, 5, 13, 17, 39, 41, 43, 45

1.2               3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 29, 33, 49, 53, 71, 73, 77

1.3    1, 3, 7, 15, 19, 23, 25, 27, 31, 33, 35, 37, 41, 47, 49, 59, 61, 63

1.4    3, 7, 11, 15, 19, 21, 23, 27, 31, 33, 35, 39, 43, 45, 49, 51, 55, 71, 75, 81, 83

1.5    3, 7, 11, 13, 15, 21, 25, 29, 31, 33, 35, 37, 39, 41, 47, 51, 53, 57, 65, 67

1.6    3, 11, 15, 19, 21, 27, 31, 35, 39, 43, 47, 49, 51, 55, 68, 71, 75, 77, 79

6.2 *            5, 9, 11, 13, 33, 35, 41, 51, 63, 65, 67, 69, 71

1.7    1, 3, 9, 11, 13, 15, 17

2.1    1, 3, 5, 7, 13, 15, 17, 21, 25, 29, 31, 47, 51, 55, 57, 61, 65, 69, 73, 87, 89, 91

2.2    1, 7, 11, 13, 17, 19, 31, 35, 39, 43, 55, 61, 63, 65, 67

6.2 *            7, 15, 17, 45, 47,

2.3    1, 5, 9, 13, 27, 33, 39, 47, 63, 69, 71, 73

2.4    3, 9, 15, 21, 27, 31, 37, 41, 43, 47, 49, 53

2.5               5, 7, 11, 13, 17, 19, 21, 25, 29, 31

6.3 *            3, 7, 9, 11, 13, 19, 21, 29, 31, 35

2.6    3, 7, 11, 17, 19, 23, 27, 37, 39

3.1    3, 7, 9, 17, 19, 21, 23, 25

3.2    3, 7, 11, 17, 21, 25, 29, 31, 33, 39, 41, 45, 49, 57, 59, 63

3.3    3, 9, 13, 17, 21, 27, 29, 33, 37, 43, 45, 51, 55, 61, 69, 71

6.2 *            19, 23, 25, 29, 37, 39, 49, 59

3.4    5, 11, 17, 21, 23, 25, 27, 47, 49, 51

3.5    3, 7, 13, 15, 17, 19, 21, 23, 29, 33, 39, 43, 45

3.6    5, 9, 13, 17, 21, 25, 27, 29

4.1    3, 5, 11, 19, 21, 27, 29, 35, 39, 45, 49, 53, 57, 61, 67, 71, 73, 77, 81, 85, 87, 99, 101, 103

4.2    3, 7, 9, 15, 19, 23, 25, 29, 31, 35, 37, 39, 51, 57, 61, 67, 69, 71, 73

4.3    7, 9, 11, 21, 47, 49, 51, 53

4.4               1, 17, 23, 31, 37

4.5    5, 9, 15, 19, 23, 27, 31, 35, 39, 43, 47, 49, 53, 61, 63, 67, 69, 73, 79

5.1    3, 9, 13, 19, 23, 33, 35, 39, 49, 53, 65, 67, 69

5.2    7, 11, 15, 19, 21, 25, 27, 31, 33, 37, 41

### Prerequisites for MATH 1425, Business Calculus I

MATH 1425 covers several topics in calculus, limits, derivatives, applications of derivatives, integration and an introduction to multivariable calculus. The material presented in this course requires that you have recently completed a College Algebra course or its equivalent. There is no review at the beginning of the course so you need to be comfortable with the basic concepts of algebra from the beginning.

The following problems provide a quick review of this algebra. The answers are listed at the end. If you find that you can't do at least 12 of them right now, you need to do one of two things before you take Business Calculus I.

Get a College Algebra book and review these topics.

If you are unable (or do not have the time) to learn these topics by reviewing on your own, you need to take one, two, or three algebra courses to refresh your algebra skills. The appropriate review course is either MATH 1314, College Algebra, or MATH 1324, Math for Business and Economics. If your algebra skills are really out-of-date, you may need to take one or more developmental math courses to prepare. Consult the Math Advising Web pages or discuss this with an advisor.

1. Simplify:              2. Simplify:

3. Simplify:                                       4. Factor:

5. Factor:                                  6. Factor:

7. Factor:              8. Simplify:

9. Simplify:                         10. Simplify:

11. Write in exponential form:

12. Write in exponential form with a negative exponent:

13. Write as a single logarithm:

14. Solve for x:                             15. Solve for x:

16. Solve for x:                     17. Graph:

18. Graph:

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This webpage was created by Marcus McGuff.
It was last updated on January 22, 2016 .