MAT 180 GENERIC COURSE SYLLABUS

MAT 140 with a grade of C or better or an appropriate score on the Mathematics Assessment Test.

Course introduces concepts of functions and relations and the basic ideas of differential and integral calculus. Content focus is on applications to the fields of social science and business.

A. Understand the concept of function and its applications.

B. Understand the concept of limit.

C. Understand the concept of continuity.

D. Understand the concept of derivative.

E. Evaluate derivatives of algebraic, exponential and logarithmic functions.

F. Use derivatives to solve optimization problems, motion problems, and problems involving rates of change.

G. Use derivatives to analyze functions and their graphs.

H. Understand the concepts of indefinite integral and definite integral.

I. Evaluate indefinite and definite integrals.

J. Use definite integrals to find area.

K. Understand functions of more than one variable.

L. Use derivatives to solve optimization problems involving functions in more than one variable.

M. Apply the concepts of differentiation and integration in business and social science.

N. Use technology to find limits, derivatives, and integrals.

Students, Faculty and administration at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,
• plagiarism (turning in work not written by you or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• making unauthorized changes in official documents,
• pretending to be someone else or having someone else to pretend to be you,
• making or accepting bribes, special favors, or threats, and any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students with a fair hearing if a complaint is made. If you are found to have violated the policy, the minimum penalty is failure on the assignment and a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Details of the Code of Academic Conduct can be found in the Student Handbook.

A. Functions and Limits

1. Functions and their graphs 2. Operations with functions 3. Limits 4. Infinity and limits 5. Continuity

B. Derivative

1. Definition of the derivative 2. Differentiation rules for sums, products and quotients of functions 3. Polynomial, rational and other algebraic functions 4. The Chain Rule 5. Higher order derivatives 6. Implicit differentiation

C. Further Applications of the Derivative

1. Increasing and decreasing functions 2. Extrema and the First-Derivative Test 3. Concavity and the Second-Derivative Test 4. Optimization Problems 5. Business and economics applications 6. Curve sketching 7. Differentials and marginal analysis

D. Exponential and Logarithmic Functions

1. Derivatives of exponential and logarithmic functions 2. Exponential and logarithmic integrals 3. Exponential growth and decay

E. Integration and Its Applications

1. Definition and properties of the indefinite integral 2. Fundamental Theorem of Calculus 3. The area of a region bounded by two graphs

F. Techniques of Integration

1. Integration by substitution 2. Integration by parts and present value 3. Integration tables and completing the square

H. Functions of More than One Variable

1. Definition 2. Partial derivatives

I. Recommended Technology

1. Graphically, numerically and/or symbolically find limits 2. Graphically, numerically and/or symbolically find derivatives 3. Numerical and symbolic integration

(To be completed by instructor)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audiovisual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate. Use of a Computer Algebra System is recommended. Mathematica is available for use at the college at no charge.

(To be completed by instructor)

Required Textbook: 
Hoffman and Bradley, Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition with MathZone, 9th Edition, McGraw Hill.

ISBN: 0073484237

Strongly Recommended Materials: A TI-83 graphics calculator or higher.

X.

(To be determined and announced by the instructor)

Evaluation methods can include graded homework, chapter or major tests, quizzes, individual or group projects, calculator/ computer projects and a final examination.

XI.

Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the ASSIST office in Instructional Support Services. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.