## Calculus I Metrics

### Description

This course is the first in the calculus sequence designed for the engineering, science, or mathematics major. Topics include functions and limits, techniques and applications of differentiation, indefinite and definite integrals, and applications of integration.

### Minimum Contact Hours

56### Assessment Rubric

#### CS. 6. Apply fundamental theorems and rules of Calculus to differentiate and integrate algebraic, trigonometric, inverse trigonometric and transcendental functions.

Emerging Standard

Exhibits limited understanding when differentiating and integrating functions using differential calculus; additional review and support is required.

Exhibits limited understanding when differentiating and integrating functions using differential calculus; additional review and support is required.

Developed Standard

Independently differentiates and integrates various functions using differential calculus.

Independently differentiates and integrates various functions using differential calculus.

Highly Developed Standard

Independently and with a thorough understanding differentiates and integrates various functions using differential calculus.

Independently and with a thorough understanding differentiates and integrates various functions using differential calculus.

#### CS. 7. Apply fundamental theorems and rules of Calculus to evaluate limits and analyze the continuity of various functions.

Emerging Standard

Exhibits limited understanding when computing limits and determining continuity; additional review and support is required.

Exhibits limited understanding when computing limits and determining continuity; additional review and support is required.

Developed Standard

Independently computes limits and analyzes the continuity of various functions.

Independently computes limits and analyzes the continuity of various functions.

Highly Developed Standard

Independently and with a thorough understanding computes limits and analyzes the continuity of various functions.

Independently and with a thorough understanding computes limits and analyzes the continuity of various functions.

#### CS. 8. Apply fundamental theorems and rules of differentiation to solve problems that model real-world situations.

Emerging Standard

Requires a great deal of assistance to solve problems drawn from real-world situations.

Requires a great deal of assistance to solve problems drawn from real-world situations.

Developed Standard

Independently solves problems drawn from real-world situations.

Independently solves problems drawn from real-world situations.

Highly Developed Standard

Very capably and independently solves problems drawn from real-world situations.

Very capably and independently solves problems drawn from real-world situations.

#### CS. 16. Construct symbolic models of applied problems described in words.

Emerging Standard

Requires a great deal of assistance to interpret word problems drawn from a variety of sources into symbolic representations.

Requires a great deal of assistance to interpret word problems drawn from a variety of sources into symbolic representations.

Developed Standard

Independently interprets word problems drawn from a variety of sources into symbolic representations.

Independently interprets word problems drawn from a variety of sources into symbolic representations.

Highly Developed Standard

Very capably and independently interprets word problems drawn from a variety of sources into symbolic representations.

Very capably and independently interprets word problems drawn from a variety of sources into symbolic representations.

#### CS. 31. Use fundamental concepts of Calculus to construct graphs of polynomial, rational and exponential functions.

Emerging Standard

Constructs graphs of polynomial, rational and exponential functions with frequent errors and omissions; displays a weak understanding.

Constructs graphs of polynomial, rational and exponential functions with frequent errors and omissions; displays a weak understanding.

Developed Standard

Independently constructs graphs of polynomial, rational and exponential functions.

Independently constructs graphs of polynomial, rational and exponential functions.

Highly Developed Standard

Independently and with a thorough understanding constructs graphs of polynomial, rational and exponential functions.

Independently and with a thorough understanding constructs graphs of polynomial, rational and exponential functions.