MATH2300 Calculus I

This course covers the derivative of functions of a single variable and an introduction to the definite and indefinite integrals. Topics include limits, continuity, derivatives and their applications, the Mean Value Theorem, curve sketching, antiderivatives, Fundamental Theorem of Calculus, and integrals. Students will also utilize their graphing calculator in solving and graphing functions.

Credits

5

Prerequisite

Qualifying score on math assessment test OR MATH2250 with a grade of a "C" or better

Course Requirements and Evaluation

Refer to Course Syllabus for detailed information regarding the requirements and evaluation standards for this course. The Course Syllabus will be distributed the first week of the course.

Learning Outcomes

The following outcomes will be addressed in the course:
Utilize a graphing calculator for various tasks
Evaluate limits of functions and difference quotients
Apply the concept of a tangent to rates of change problems
Analyze values of continuity or discontinuity in functions
Evaluate the derivative of a given function using the product, quotient, and chain rule
Calculate the derivative of a function given implicitly
Perform higher degree differentiation
Project function behavior using the first and second derivative of a function
Utilize critical points in curve sketching
Apply the concepts presented in the Mean Value Theorem, L'Hopital's Rule, and Newton's Method
Relate derivatives to velocity, acceleration, and speed
Evaluate antiderivatives
Develop the concept of an indefinite integral as the antiderivative
Evaluate definite integrals using antiderivatives
Relate the Fundamental Theorem of Calculus to differentiation and integration
Apply the theory of calculus in application problems

Text and References

A list of textbooks required for this course is available at the bookstore.

Course Scheduling

The scheduled hours of instruction include sixteen hours for each lecture credit, thirty two hours for each lab credit and forty hours for each credit of supervised occupational experience (SOE). Lecture credit may include formal or impromptu lectures, demonstrations or discussions with the entire class or with small groups or individuals. Refer to the Credit Details section of this course outline for the credit breakdown.

Accommodations Statement

Disability Services assists students with disabilities who need accommodations to access programs, services and college activities.  If this applies to you, please contact the DS Office on your campus to initiate the accommodations process. 
Brooklyn Park Campus - 763-488-2477
Eden Prairie Campus – 952-995-1544

Campus

Brooklyn Park Campus Eden Prairie Campus 952-995-1300

Credit Details

lecture:

5

MnTC Goal Areas:

2 & 4