Catalog: 2015–2016 Catalog Year

# MATH 181: Calculus I

### General Information

• Name: Calculus I
• Discipline: Mathematics (MATH)
• Units (Credits): 4
• Transfer Information: Courses with numbers 100 to 299: This course is designed to apply toward a WNC degree and/or transfer to other schools within the Nevada System of Higher Education, depending on the degree chosen and other courses completed. It may transfer to colleges and universities outside Nevada. For information about how this course can transfer and apply to your program of study, please contact a counselor.
• Academic Division: Liberal Arts

### Prerequisites and Recommended Courses

• Prerequisites: MATH 128, MATH 126, MATH 127 or equivalent or consent of instructor, or appropriate score on the WNC placement or equivalent test

### Course Outline

#### I: Catalog Course Description

Offers fundamental concepts of analytical geometry and calculus, functions, graphs, limits, derivatives, and integrals.

#### II: Course Objectives

Course offers fundamental concepts of analytical geometry and calculus: functions, graphs, limits, derivatives, and integrals.

Upon completion of this course, successful students should be able to do the following:

• Evaluate limits.
• Differentiate sums, powers, quotients, products, trigonometric and inverse trigonometric functions, logarithmic and exponential functions, explicitly and implicitly.
• Apply differentiation to curve sketching.
• Solve related rates and optimization problems.
• Use Newton's method to approximate the zeros of a function.
• Perform indefinite and definite integration of algebraic, trigonometric, exponential and logarithmic functions with the substitution method.
• Find the area under a curve.
• Solve growth and decay problems.

#### III: Course Linkage

Linkage of course to educational program mission and at least one educational program outcome.

General Education Mission: This course addresses the fourth bullet under goal one of the college's mission to, "Provide instruction that contributes to a student's abilities to think critically and solve problems; to reason mathematically and apply computational skills."

Math 181 satisfies the General Education Requirement for any degree or certificate program and addresses the following learning objectives of the General Education Requirement by ensuring that successful students:

• Are able to apply appropriate college-level mathematical skills to real life applications
• Have developed adequate problem solving, creative reasoning, and critical thinking skills.

Educational Objectives for A.A. and A.S. Degrees: Math 181 addresses the following learning objectives of the A.A. and A.S. degree programs by ensuring that successful students:

• Will know the subject matter to a level that is appropriate to the emphasis of the degree program.
• Can succeed at their transfer institutions.

Educational Objectives for A.G.S. Degree: Math 181 addresses the following learning objectives of the A.G.S. degree by ensuring that successful students:

• Will know the subject matter to a level that is appropriate for their desired fields of study.