Department: Mathematics & Computer Science

Department: Mathematics & Computer Science

Discipline: Mathematics

Subject Code: Math Course #: 110

Course Title: Applied Calculus for Business

HARRISBURG AREA COMMUNITY COLLEGE

FORM 335

Course Form 335 must be updated at least every five years per AP 765 to include, at a minimum, the following elements. [§335.2]

1. Digital Description [§335.2] (Insert new/revised digital description below):

Credit hours: 4.0

Lecture hours: 4.0

Lab hours: 0.0

BL: []⅓ [X]½ []⅔ [ ] Other (Indicate fraction or percent)

2. Maximum Enrollment (Insert new/revised maximum enrollments below):

Face-to-Face:

Virtual/Online:

Blended:

3. Catalog Description [§335.2] (Insert new/revised description in space below):

Designed for students in various business or social science programs. Topics to be considered include quadratic, polynomial, rational, exponential and logarithmic functions, differential calculus of single variable and of several variables, and techniques of integration. Numerous applications to business and economics are considered. (Core C)

Minimum Grade Required

4. Prerequisites[§335.2]: MATH 103 C

Corequisites:

Other:

5. Learning Outcomes [§335.2]

[These outcomes are necessary to enable students to attain the essential

knowledge and skills embodied in the program’s educational objectives.]

Upon successful completion of the course the student will be able to:

·  Analyze quantitative data to solve problems

·  Evaluate limits, identify continuity, and predict the behavior of functions

·  Apply differentiation rules to determine derivatives of functions, including implicitly defined and multivariate functions

·  Apply integration rules to determine integrals of functions

·  Apply techniques of calculus to solve real-world business and economic problems including, but not limited to, marginal analysis, curve sketching, optimization, elasticity, related rates, consumer’s surplus, and producer’s surplus

·  Determine and interpret local extreme values and saddle points for functions of two variables

6. Planned Sequence of Instruction [§335.2]:

[These must be designed to help students achieve the learning outcomes.]

Hours

Algebra review 1

Functions 5

Derivatives

Limits and rate of change 2

Definition 1

Derivative formulas 6

Marginal Analysis 1

Graphing and Optimization

Continuity and Graphs 1

First Derivative and Graphs 2

Second Derivative and Graphs 2

Curve Sketching Techniques 2

Optimization 3

Additional Derivative Topics

Continuous Compound Interest 1

Derivative of Logarithmic Function

and Exponential Function 2

Chain Rule: General Form 2

Implicit Differentiation 1

Related Rates 1

Integration

Antidifferentiation 1

Substitution 2

Differential Equations 1

Definite Integral 1

Fundamental Theorem of Calculus 3

Additional Integration Topics

Area Between Curves 2

Business Applications 1

Integration by Parts 2

Integration by table 1

Numerical Integration 2

Multivariable Calculus

Functions of Several Variables 1

Partial Derivatives 2

Maxima and Minima 2

Tests and Review 6

Total 60

7. Assessment of Student Learning [§335.44]:

[Methods of assessment should be appropriate for Learning Outcomes listed above.]

Assessment of student learning outcomes for the course, as required by AP 765, is part of regular curriculum maintenance and/or improvement. The specific plan has been determined by the pertinent faculty involved and is maintained in the College’s assessment management system.

Student assessment includes tests and a comprehensive final exam. Other forms of assessment may include, but are not limited to, the following: class participation, graded assignments, projects, portfolios, and/or quizzes. All assessment instruments cover course competencies on file in the Mathematics and Computer Science Department.

8. List of Texts, References, Selected Library Resources or other Learning Materials (code each item based on instructional use) [§335.2]: C-Lecture/Laboratory, A-Lecture, B-Laboratory, LC-Lecture/Clinical, CLN-Clinical, I-Online, BL-Blended, D-Independent Study, P-Private Lessons, E-Internship, F-Cooperative Work-Study, FE-Field Experience. [These resources must be easily accessible to students.]

A, I, BL: Applied Calculus For the Managerial, Life, and Social Sciences

A Brief Approach, Tenth Edition, by Soo T. Tan; Cengage Learning

9. Prepared by Discipline Faculty Proponent: Lyra Neville Date: 4/08/14

10. Approved by Department Chairperson: Cindy Muth Date: 4/30/14

11. Approved by Associate Provost: Tim Dolin Date: 4/30/14

This course meets all reimbursement requirements of Chapter 335, subchapters A / B.

This course was developed, approved, and offered in accordance with the policies, standards, guidelines, and practices established by the College. It is consistent with the college mission.

If the course described here is a transfer course, it is comparable to similar courses generally accepted for transfer to accredited four-year colleges and universities.

12. Director, Curriculum Compliance: Erika Steenland Date: 4/30/14

13. Provost & VP, Academic Affairs: Cynthia Doherty Date: 5/1/14

14. Original Date of course approval by the college: 197920

15. Date(s) of subsequent reviews [Indicate change: Learning Outcomes; textbook(s)]:

Fall 1992

5/03

12/14/06 (textbook change)

5/1/07 (new edition of textbook)

2/13/08 – learning outcomes

10/09 – textbook update

9/14/11 – learning outcomes & assessment statement

4/10/14 – textbook update

12/1/04

Form Template Reviewed & Updated: 10/26/07; 1/11/08; 1/16/09; 7/14/09; 7/31/12; 7/30/13; 8/26/13; 1/31/14