Hill College
112 Lamar Drive
Hillsboro, Texas 76645
COURSE SYLLABUS
Course Prefix and Number
Course Title
MATH 1325
Calculus for Business and Economics
Prepared by: T. Calhoun
Date: August 2013
Approved by:
Date:
Dean of Instruction
Approved by:
Date:
Vice President of Instruction
D i s a b i l i t i e s / AD A
In accordance with the requirements of the Americans with Disabilities Act (ADA) and the
regulations published by the United States Department of Justice 28 C.F.R. 35.107(a),
Hill College’s designated ADA coordinator, Melanie Betz, Director of Academic Advising
& Student Success, shall be responsible for coordinating the College’s efforts to comply
with and carry out its responsibilities under ADA. Students with disabilities requiring
physical, classroom, or testing accommodations should contact the Director of Academic
Advising & Student Success, at (254)659-7651.
Course Description: MATH 1325
Limits and continuity, derivatives, graphing and optimization, exponential and
logarithmic functions, antiderivatives, integration, applications to management,
economics, and business. (The content level of MATH 1325 is expected to be below
the content level of Calculus I, MATH 2413)
Lecture Hours: 3 Lab Hours: 0 Semester Credit Hours: 3
Prerequisites:
MATH 1324 or equivalent.
Introduction and Purpose:
This course provides a traditional calculus mathematics course for first and second
year college students majoring in business and economics.
Instructional Materials:
Textbooks: Mathematical Applications for the Management, Life, and Social
Sciences, (10th ed.); Harshbarger, Reynolds; Houghton Mifflin.
Supplies: Pencils, paper, and graphing calculator. Preferred calculator is TI83, TI-84, TI-83 Plus, or TI-84 Plus.
Objectives/Student Learning Outcomes: (ACGM does not have objectives yet)
At the completion of this course, the student should be able to:
1.
Determine the derivative of a constant, of X^N, of a constant times a fraction, and
of sums and differences of functions.
2.
Solve problems that involve interpreting the derivative as an instantaneous rate of
change.
3.
Graph functions by using calculus techniques.
4.
Solve problems involving maximizing or minimizing quantities by using
calculus techniques.
5.
Determine derivatives by applying the product and quotient rules.
6.
Solve problems using the chain rule and general power rule
7. Solve problems involving implicit differentiation.
8. Determine the derivative of logarithmic functions and exponential functions.
9.
Solve problems relating to compound interest.
10. Solve problems involving the concepts of percentage rate of change and
elasticity of demand.
11. Determine the indefinite integrals of various types of functions.
12. Determine definite integrals by using "Fundamental theorem of Integral Calculus".
13. Solve problems relating to consumers' surplus and producer's surplus.
14. Determine the derivatives of functions of several variables.
15. Compute partial derivatives.
16. Determine maxima and minima of functions of several variables.
The students' success in completing these objectives will be measured using a set
of examinations and assignments described, in detail under the section of this
syllabus headed “Method of Evaluation”.
Methods of Instruction:
This course will be taught face-to-face and by various distance learning
delivery methods.
Audio-visual materials and computer-based technology will be used when
appropriate. Students will be shown how to use a calculator where appropriate.
Methods of Evaluation:
Grades in this course will be based on the following evaluative criteria:
Exams will be given during the semester. The average of these exams will make up 75%
of the students grades. The comprehensive final exam will count 25%.
Letter grades for the course will be based on the following percentages:
90-100%
80-89%
70-79%
60-69%
Below 60%
A
B
C
D
F
Class policies:
Regular attendance at all class meetings is expected. Disruptions in class will not be
tolerated.
Topic Outline:
Derivatives
9.1 Limits
9.2 Continuous Functions; Limits at Infinity
9.3 Average and Instantaneous Rates of Change: The Derivative
9.4 Derivative Formulas
9.5 The Product Rule and the Quotient Rule
9.6 The Chain Rule and the Power Rule
9.7 Using Derivative Formulas
9.8 Higher-Order Derivatives
9.9 Applications of Derivatives in Business and Economics
Applications of Derivatives
10.1 Relative Maxima and Minima: Curve Sketching
10.2 Concavity: Points of Inflection
10.3 Optimization in Business and Economics
10.4 Applications of Maxima and Minima
10.5 Rational Functions: More Curve Sketching
Derivatives Continued
11.1 Derivatives of Logarithmic Functions
11.2 Derivatives of Exponential Functions
11.3 Implicit Differentiation
11.4 Related Rates
11.5 Applications in Business and Economics
Indefinite Integrals
12.1 The Indefinite Integral
12.2 The Power Rule
12.3 Integrals Involving Exponential and Logarithmic Functions
12.4 Applications of the Indefinite Integral in Business and Economics
12.5 Differential Equations
Definite Integrals: Techniques of Integration
13.1 Area Under a Curve
13.2 The Definite Integral: The Fundamental Theorem of Calculus
13.3 Area Between Two Curves
13.4 Applications of Definite Integrals in Business and Economics
13.5 Using Tables of Integrals
13.6 Integration by Parts
13.7 Improper Integrals and Their Applications
13.8 Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule
Functions of Two or More Variables
14.1 Functions of Two or More Variables
14.2 Partial Differentiation
14.3 Applications of Functions of Two Variables in Business and Economics
14.4 Maxima and Minima
14.5 Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers.
Bibliography:
Harshbarger, Reynolds; Houghton Mifflin. Mathematical Applications for the
Management, Life, and Social Sciences, Pearson/Prentice Hall