Difference between revisions of "Math 119"

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1. Determine limits of functions from their graphs or equations.
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2. Analyze and apply the notions of continuity and differentiability to functions.
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3. Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications.
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4. Use derivatives to construct and analyze graphs of selected functions.
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5. Use various techniques to determine antiderivatives of simple functions.
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6. Demonstrate the connection between area and the definite integral.
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7. Integrate selected functions and several applications using these results.
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8. Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
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Apply the concepts of limits, derivatives and integrals to solve problems involving functions various applications and interpret the results
  
 
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Revision as of 14:13, 2 November 2010

Catalog Information

Title

Introduction to Calculus.

(Credit Hours:Lecture Hours:Lab Hours)

(4:4:1)

Offered

F, W, Sp, Su

Prerequisite

Math 110 or equivalent.

Description

Introduction to plane analytic geometry and calculus.

Note

The math department recommends that students who would have taken Math 119 before 2011 now consider Math 112 (for Life Sciences students) or Math 118 (for students in the Marriott School of Management). Beginning Fall 2010 Math 119 will be available as an evening course through the department of continuing education.

Desired Learning Outcomes

This course is designed to provide beginning undergraduate students a first exposure to Calculus concepts, theorems, and techniques. In general, theorems will not be proved. An understanding of the theorems and their applications to solve calculus problems will be taught. Students will be expected to develop effective problem solving skills based on their understanding of the theory and not just memorize a set of routines to solve problems.

Prerequisites

Minimal learning outcomes

1. Determine limits of functions from their graphs or equations. 2. Analyze and apply the notions of continuity and differentiability to functions. 3. Calculate derivatives for a variety of simple functions and use the concept of derivative to solve problems from various applications. 4. Use derivatives to construct and analyze graphs of selected functions. 5. Use various techniques to determine antiderivatives of simple functions. 6. Demonstrate the connection between area and the definite integral. 7. Integrate selected functions and several applications using these results. 8. Apply the Fundamental Theorem of Calculus to evaluate definite integrals. Apply the concepts of limits, derivatives and integrals to solve problems involving functions various applications and interpret the results

Textbooks

Possible textbooks for this course include (but are not limited to):

Additional topics

Courses for which this course is prerequisite