MATH 151

Calculus and Analytic Geometry I

Catalog Entry

MATH 151

Calculus and Analytic Geometry I

Three hours lecture (3)

Prerequisites: Students registering for Math 151 must satisfy one of the following criteria:

1. A grade of C or better in an approved college-level precalculus course, including or in addition to some trigonometry at the high school or college level.

2. An SAT math score of 550 or better (or a MATH ACT score of 23 or above).

3. A passing score on a placement exam approved by the math department.

This course covers the concept of functions, limits, and continuity of functions, the derivative, rules and applications of differentiation. Mathematical software packages and graphing calculators will be used as illustrative and problem-solving devices. This course has been approved for credit in the Mathematical Sciences Area of the Core Curriculum.

Detailed Description of Content of Course

The following topics will be covered:

• Functions and their graphs, algebra of functions, inverse functions

• Important classes of functions, including exponential, logarithmic and trigonometric functions

• Limits: graphical, numerical and analytic methods, one-sided limits

• Continuity

• Derivatives: Definition, basic rules of differentiation, including the power, product, quotient and chain rule, implicit differentiation, derivatives of inverse functions.

• Curve sketching, extrema and inflection points, optimization problems, related rates, Newton’s method and differentials.

Detailed Description of Conduct of Course

Instructors will use a combination of lectures, group work and computer laboratory sessions. Some may require students to present homework problems to the rest of the class on a regular basis. Software packages and graphing utilities will be used in solving problems and as illustrative aids.

Goals and Objectives of the Course

Students are expected to learn the basic principles of Calculus and Analytic Geometry and to demonstrate the use of these principles in problem solving. In addition to paper and pencil problem solving, students will use appropriate graphing calculator and computer algebra system technology to solve equations, plot and differentiate.

Students will be able to use the tools of mathematics and quantitative reasoning to conceptualize and solve problems.

Students will be able to:

• identify and interpret relationships among numeric, symbolic and graphical information

• generate mathematical models using numeric, symbolic and graphical information for use in real-world applications

• solve problems using numeric, symbolic and graphical information

Assessment Measures

Graded tasks may include tests, quizzes, homework exercises, papers, class participation and attendance. Students will be required to demonstrate literacy in the use of mathematical software packages and/or graphing calculators as effective tools in problem-solving.

Other Course Information

This course is primarily intended for freshman and sophomore students, especially those majoring in mathematics, computer science, the sciences, psychology, or economics.

Review and Approval

2014