SYLLABUS
MTH 120 / Calculus and Its Application
3 Semester Credit Hours A / 3 Contact Hours
- Course Description
This course is intended to give a broad overview of calculus and is primarily taken bystudents majoring in Commerce and Business Administration. It includes differentiationand integration of algebraic, exponential, and logarithmic functions and applications tobusiness and economics. The course should include functions of several variables, partialderivatives (including applications), Lagrange Multipliers, L’Hopital’s Rule, and multipleintegration (including applications).
- Prerequisite
A minimum prerequisite of high school Algebra I, Geometry, and Algebra II with anappropriate mathematics placement score. An alternative to this is that the student shouldsuccessfully pass with a C or higher in MTH 112.
- Course Textbooks, Manuals, or Other Required Materials
Lial, M.Calculus with Applications, Brief Version, 10th Ed., bundled with MyMathLab. Pearson/Addison Wesley, 2012.
- Course Learning Outcomes
The objective of this course is to provide an understanding of concepts, developcompetent skills, and demonstrate applications in the following areas:
- limits and rates of change
- introductory differential and integral calculus
- optimization of single and multi-variable functions
- the calculus of exponential and logarithmic functions
- Outline of Course Topics
This course shall include the following topics as a minimum.
- Limits
- Continuity
- The derivative
- Differentiation
- Product and Quotient Rule
- Chain rule
- Exponential/logarithmic functions
- Marginal functions in economics
- Applications of 1st derivative
- L’Hopital’s Rule
- Application of 2nd derivative
- Curve Sketching
- Optimization
- Linear Programming
- Antiderivatives
- Integration by substitution
- Fundamental theorem
- Evaluating definite integrals
- Area between 2 curves
- Applications
- Functions of several variables
- Partial derivatives
- Lagrange Multipliers
- Maximum / Minimum of several variables
- Multiple integration
- Methods of Instruction
- Lectures
- Class discussion
- Computer/Internet tutorials
- Video tutorials
- Individual instruction (instructor and tutors)
- Evaluation and Assessment
The course grade will be determined by the following methods:
- Written and oral quizzes
- Written exams
- Oral presentations (individual and/or group)
- Homework
- Class participation
- Projects
- Computer activities
- Comprehensive final exam
- The individual instructor and/or department will determine grades based upon the following: A=90–100%, B=80–89%, C=70–79%, D=60–69%, and F=below 60%.
- Attendance
Students are expected to attend all classes for which they are registered. Students who are unable to attend class regularly, regardless of the reason or circumstance, should withdraw from that class before poor attendance interferes with the student’s ability to achieve the objectives required in the course. Withdrawal from class can affect eligibility for federal financial aid.
- Statement on Discrimination/Harassment
NACC and the Alabama State Board of Education are committed to providing both employment and educational environments free of harassment or discrimination related to an individual’s race, color, gender, religion, national origin, age, or disability. Such harassment is a violation of State Board of Education policy. Any practice or behavior that constitutes harassment or discrimination will not be tolerated.
- Statement of Adherence to ADA Guidelines
Instructors will adhere to the Americans With Disabilities Act and/or Section 504 of the Rehabilitation Act (1973) and will publish the following statement on course outlines given to students at the beginning of each semester: “Any individual who qualifies for reasonable accommodations under the American With Disabilities Act or Section 504 of the Rehabilitation Act (1973) should notify the instructor immediately.”
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