Welcome to the course web page for the Fall 2020 manifestation of MAT 136: Calculus I at Northern Arizona University. This course is a first calculus course concentrating on limits, continuity, the derivative, and integration. Applications are made to classical problems in physics and other sciences. Calculus is one of the great achievements in human history, and I am happy that I get to share it with you. Detailed information about the course and its structure is available at the links above.

AMB 176

12:30-1:30PM on MTh, 11:30AM-12:30PM on WF

dana.ernst@nau.edu

928.523.6852

danaernst.com

The primary objective of this course is to aid students in becoming confident and competent in solving problems that require techniques developed in calculus. Successful completion of MAT 136 provides students with skills necessary for upper division mathematics courses, such as MAT 137: Calculus II. In general, calculus is a study of functions. The main tools are differentiation, which measures instantaneous change in a function, and integration, which gauges the cumulative effect of that change. The crowning achievement of first semester calculus is the Fundamental Theorem of Calculus, which explains how differentiation and integration are related. Students will have a working understanding of limits and continuity. Students will also be able to utilize various techniques to differentiate and integrate numerous functions including trigonometric functions. In addition, students will understand and be able to apply the Mean Value Theorem, the First and Second Derivative Tests, and the Fundamental Theorem of Calculus in both theoretical problems and applications. Also, the purpose of any mathematics class is to challenge and train the mind. Learning mathematics enhances critical thinking and problem solving skills.

There are many resources available to assist you with doing your homework (e.g., office hours, Discord discussion group, free tutoring at numerous places across campus). You are allowed and encouraged to work together on homework. However, each student is expected to turn in his or her own work. You are strongly encouraged to ask questions in our Discord discussion group, as I (and hopefully other members of the class) will post comments there for all to benefit from. You can also encouraged to stop by during my office hours and you can always email me. Lastly, *free* tutoring is available through the Math Achievement Program.

Mathematics & Teaching

Northern Arizona University

Flagstaff, AZ

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MAT 136: Calculus I

MAT 232: Math Reasoning

MAT 411: Abstract Algebra

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