Calculus and Analytical Geometry I

University of Wisconsin - Green Bay - Math 202, 4 Credits

Course Description:

Calculus I is based on the study of real-valued functions of a single variable. The course topics include limits and continuity, derivatives, antiderivatives, definite integrals, and Riemann sums. Applications of differentiation and integration are also covered. 

Description of Students Who Take the Course:

Mathematics 202 satisfies the University minimum general education mathematics requirement. It is also intended as a stepping stone for students whose programs require additional mathematics and science courses beyond calculus.

• Communicate problem solutions, interpretations, and ideas and techniques of calculus in clear and well-organized written form, including the proper use of notation.
• Understand the concepts of limit and continuity and compute limits of functions.
• Understand the definition of the derivative and interpret the derivative graphically and as an instantaneous rate of change.
• Use differentiation rules to compute derivatives of elementary functions as well as their inverses, compositions, arithmetic combinations, and implicitly defined functions.
• Apply derivatives to curve sketching, optimization problems and computing limits.
• Understand the definition and fundamental idea of the definite integral.
• Understand the fundamental theorem of calculus and use it to calculate definite integrals.
• Find antiderivatives of standard elementary functions.
• Evaluate antiderivatives using the method of substitution.
• Apply definite integrals to compute areas and volumes