• Program: Math
  • Course: Calculus I
  • Course #: MATH2300
  • Total Credits: 5

Course Description

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.

Course 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.

Disability Services

Hennepin Technical College offers reasonable accommodations to qualified students with disabilities. If you have a documented disability that may require accommodations, contact the college’s Disability Services Director: Sara Laviolette at Brooklyn Park (763-488-2477) or Jean Kreutter at Eden Prairie (952-995-1544).

Course Goals

The following goals 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

Credit Details
  • Lecture: 5
  • MnTC Goal: 2 & 4
Course Details
  • Prerequisites: 
    Qualifying score on math assessment test OR MATH2250 Precalculus with Trigonometry with a grade of a C or better
  • Campus: Brooklyn Park/Eden Prairie

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