Delaware County Community College

Summer II 2011

MAT 136

Business Calculus

Instructor
Mr. Steve Peterson

Or
Use the course website for assignments and other communication including weather cancellations:
mrpeterson.pbworks.com/MAT136 / Course Details
Course: MAT 136
Section #: 51
Location: 2247 Academic Building
Day(s): TWTh
Time: 6-8:30pm

Course Description: This course is designed primarily for business majors. Topics include graphing and solving problems using linear, quadratic, polynomial, rational, square root, log, and exponential functions, solving systems of equations, performing operations on matrices, linear programming, and applications from business and economics.

Prerequisite: Pre Calculus for Business Majors (MAT 135) or College Algebra and Trigonometry I (MAT 140).

Competencies and Behavioral Objectives:

Competency 1: Take the derivatives of certain algebraic

functions, and products, quotients, and

compositions of such functions.

Behavioral Objectives: In order to attain this competency, the student should be able to:

1.1 Determine limits using graphs.

1.2 State that a function is continuous at x=a by looking at a graph.

1.3 Calculate limits using substitution, factoring, and canceling.

1.4 Find the average rate of change.

1.5 State the definition of the derivative of f(x).

1.6 Use the definition of derivative to calculate the derivative

of a quadratic function.

1.7 Calculate derivatives using the power rule.

1.8 Calculate derivatives of the sum and difference of functions and

a constant times a function.

1.9 Given a distance function, calculate the velocity and

acceleration functions.

1.10 Given a cost and revenue function, calculate the marginal

cost, marginal revenue and marginal profit.

1.11 Calculate derivatives using the product, quotient and chain rules

1.14 Calculate higher order derivatives

Competency 2: Apply the concepts of differential calculus

to optimization problems.

Behavioral Objectives:

In order to attain this competency, the student should be able to:

2.1 Determine the intervals over which a given function is increasing or decreasing.

2.2 Find the critical x values of a function and test them using the first and/or second

derivative tests.

2.3 Graph functions by finding and testing critical points.

2.4 Find the absolute extreme of a continuous function on a closed interval.

2.5 Determine the numbers which maximize or minimize a product

given conditions the numbers must satisfy.

2.6 Determine the dimensions which maximize rectangular

area using a specified quantity of fence.

2.7 Determine the dimensions which maximize the volume of

an open box made from a rectangle of a specified size.

2.8 Determine the number of units which maximize a profit or revenue function.

2.9 Write the cost function and calculate the lot size which minimizes the cost function for

an inventory control problem.

2.10 Calculate the ticket price which maximizes revenue.

2.11 Find the differential of y, .

2.12 Find using implicit differentiation (optional)

Competency 3: Take the derivatives of exponential and logarithmic functions.

Behavioral Objectives:

In order to attain this competency, the student should be able to:

3.1 Take the derivative of e, ef(x), ln x and ln f(x)

3.2 Solve problems involving the uninhibited growth and decay models.

Competency 4: Integrate exponential, certain algebraic functions,

and some combinations of these functions using substitution.

Behavioral Objectives:

In order to attain this competency, the student should be able to:

4.1 Calculate definite and indefinite integrals involving the following:

a. ∫k du

b. ∫undu

c.

d. ∫eudu

4.2 Find a function f(x) with a given derivative and function value .

4.3 Calculate the area under a given continuous nonnegative curve on the interval [a, b].

4.4 Find the area of a region bounded by two curves .

4.5 Given a derivative (such as marginal cost, velocity, or growth rate), and a specified boundary condition, find the original function.

4.6 Given a derivative (such as marginal cost, velocity, or growth rate), find the total change over a specified period of time.

4.7 Calculate from given supply and demand functions:

a. The number of units at which equilibrium occurs.

b. The equilibrium price per unit.

c. Consumers' surplus .

d. Producers' surplus.

Required Text: Custom Text for Delaware County Community College, taken from Finite Mathematics, 9th Edition by Margaret L. Lial, Raymond Greenwell, and Nathan Ritchey, 2008, Pearson Education, Inc., Addison Wesley, Boston, MA 02116 and also taken from Calculus and Its Applications , 9th Edition by M. L. Bittinger & D.J. Ellenbogan, 2008, Addison Wesley Publishing, Boston, MA 02116

Final Course Grade Computation

How your final grade will be calculated:

Three (3) Tests300 points A (90%) – 540 points

Final Exam 200 points B (80%) – 480 points

MyMathLab Homework 100 points C (70%) – 420 points

Total 600 points D (60%) – 360 points

Final Average / Final Grade
100 - 90 / A
80 - 89 / B
70 - 79 / C
60 - 69 / D
59 and less / F

Students with Disabilities

Students with learning, physical, or psychological disabilities who require accommodations for this course must contact the Director of Special Needs Services in Room 1320 in the Career and Counseling Center at Marple Campus (610.325.2748) or the Southeast Center Counselor in Room 119 at the Southeast Center (610.957.5721).

Academic Support Services

Students who need help planning, editing or documenting written assignments can schedule a tutoring session in the DCCC Writing Center, Room 4277, Marple Campus. Call 610.359.5018 for appointments and other information.

Tutoring is available for this course in the DCCC Math/Science Learning Center (Room 1180, Marple Campus, 610.359.5076)

DCCC’s Commitment to Diversity

Students are expected to show respect for their classmates, themselves, and their instructors by conducting themselves with maturity, demonstrating sincere interest in the ideas of others, and employing good manners.

Students are expected to show appreciation for the diversity of backgrounds and skills of their classmates. Violations of equal educational opportunities should be reported according to procedures given on pages 2 and 56 of the Student Handbook. General complaint and sexual harassment complaint procedures are detailed on pages 53-57 of the Student Handbook.

Attendance

We will adhere to the college’s policy described in the DCCC Student Handbook.

Academic Honesty

We will follow the DCCC Academic Honesty Policy of the DCCC Student Handbook. Since we are dropping the lowest exam grade (exclusing the final), therefore Any “F” grade awarded as a result of Academic Dishonesty will NOT be dropped, and WILL be included in the calculation of your grade.

Miscellaneous Policies/Procedures

You should come to class prepared (with textbooks, notebook, ready to ask questions, etc.).

Classroom conduct: help maintain a good learning environment by avoiding unnecessary talking, turn off pagers and cell phones or use vibrate mode, be courteous/respectful to instructor and classmates. If there is some reason that you should not turn off a pager or cell phone, please discuss with me in advance so that the appropriate arrangements can be made.

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