Hill College
112 Lamar Drive
Hillsboro, TX 76645
COURSE SYLLABUS
Course Prefix and Number
MATH 1325 Section:
Semester:
Course Title
Calculus for Business & Social Sciences
Instructor:
Contact: Phone:
E-mail:
ACGM Description:
MATH 1325
This course is the basic study of limits and continuity, differentiation, optimization and graphing,
and integration of elementary functions, with emphasis on applications in business, economics,
and social sciences. This course is not a substitute for MATH 2413, Calculus I.
Lecture Hours: 3
Lab Hours: 0 Semester Credit Hours: 3
Prerequisites: MATH 1314 – College Algebra or MATH 1324 – Mathematics for Business &
Social Sciences.
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, 11th Ed;
Harshbarger, Reynolds; Houghton Mifflin.
Supplies:
Pencils, paper, and graphing calculator. Preferred calculator is TI-83, TI-84, TI-83
Plus, or TI-84 Plus.
Objectives/Student Learning Outcomes:
Upon successful completion of this course, students will:
1. Apply calculus to solve business, economics, and social sciences problems.
2. Apply appropriate differentiation techniques to obtain derivatives of various functions, including
logarithmic and exponential functions.
3. Solve application problems involving implicit differentiation and related rates.
4. Solve optimization problems with emphasis on business and social sciences applications.
5. Determine appropriate technique(s) of integration.
6. Integrate functions using the method of integration by parts or substitution, as appropriate.
7. Solve business, economics, and social sciences applications problems using integration
techniques.
Description of Institutional Core Objectives (ICO’s)
Given the rapid evolution of necessary knowledge and skills and the need to take into account
global, national, state, and local cultures, the core curriculum must ensure that students will
develop the essential knowledge and skills they need to be successful in college, in a career, in
their communities, and in life. Therefore, with the assistance of the Undergraduate Education
Advisory Committee, the Coordinating Board approved a 42-semester credit hour core curriculum
for all undergraduate students in Texas, including a statement of purpose, six core objectives,
and common component areas.
Statement of Purpose
Through the Texas Core Curriculum, students will gain a foundation of knowledge of human
cultures and the physical and natural world, develop principles of personal and social
responsibility for living in a diverse world, and advance intellectual and practical skills that are
essential for all learning. Hill College faculty periodically evaluates the objectives included in the
Foundational Component Area of Mathematics.
Core Objective
College SLO
Course
SLO
1,2,3,4,
5,6,7
Critical
Thinking Skills
CT3: Analyze,
evaluate and
synthesize
information
Communicatio
n Skills
Use Any
CS1: Develop,
interpret, and
express ideas
through written
communication
1,2,3,4,
5,6,7
Communicatio
n Skills
Use Any
CS2: Develop,
interpret, and
express ideas
through oral
communication
5
General Learning Activities
Assessment
Students will discuss & interpret problems
in class and work examples on the board as
part of group discussion. Students will
work problems as examples are presented
in class and also in homework
assignments.
Students will discuss & interpret problems
in class and work examples on the board as
part of group discussion. Students will
work problems as examples are presented
in class and also in homework
assignments. Students will be required to
complete a written analysis or summary for
an assignment.
Students will discuss & interpret problems
in class and work examples on the board as
part of group discussion. Students will be
required to complete an oral analysis or
summary for an assignment.
Questions embedded
within Exams and a
Final Exam will
determine student's
competency.
Questions embedded
within Exams and a
Final Exam will
determine student's
competency.
Students will receive
grades based on
their participation
and responses to
questions and in
class discussions
about problems.
Communicatio
n Skills
Use Any
Empirical and
Quantitative
Skills
CS3: Develop,
interpret, and
express ideas
through visual
communication
EQS1:
Manipulate and
analyze
numerical data
and arrive at an
informed
conclusion
1,2,5
1,2,3,4,
5,6,7
Students will discuss & interpret problems
in class which involve graphs and other
visual aids. Students will be required to
complete a visual analysis or summary for
an assignment.
Students will discuss & interpret problems
in class and work examples on the board as
part of group discussion. Students will
work problems as examples are presented
in class and also in homework
assignments.
Questions embedded
within Exams and a
Final Exam will
determine student's
competency.
Questions embedded
within Exams and a
Final Exam will
determine student's
competency.
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”.
An Annual Assessment Plan will be implemented each year to review course.
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:
The students' success in completing the core objectives within the Foundational Component Area
of Mathematics will be measured using rubric, exam, or embedded assessment activity.
Grades in this course will be based on the following evaluative criteria:
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
Course Outline:
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.
Disabilities/ADA
Reports of discrimination based on disability may be directed to the ADA/Section 504
coordinator. The College District designates the following person to coordinate its efforts to
comply with Title II of the Americans with Disabilities Act of 1990, as amended, which
incorporates and expands the requirements of Section 504 of the Rehabilitation Act of 1973, as
amended:
Name:
Position:
Address:
Telephone:
Lizza Trenkle
Vice President of Student Services
112 Lamar Drive, Hillsboro, TX 76645
(254) 659-7790
Students with qualified and documented disabilities may request accommodations which will
enable them to participate in and benefit from educational programs and activities. Students
should contact the Academic Advising and Student Success Center for more details at:
254 659 7650 for Hillsboro, 817 760 5650 for Cleburne, or 817 295-7392 for Burleson.
Instructor’s Class Content: