# Elementary Calculus I, MATH 181, Summer 2016 (Session III)

This is the home page and first day handout for MATH 181.1007, meeting MTWRF from 11:20 to 1:20, July 11th -- August 12th, in CBC-C319. My name is Dr. Arthur Baragar. My office is CDC-1016 and I can be reached at 702-895-0378 or baragar@unlv.nevada.edu.

Text: James Stewart, Essential Calculus, Early Transcendentals, 2e, Brooks Cole Publishing, 2013.

Syllabus:

• Chapter 1:  Functions and Limits.  Students will learn the concept of the limit and be able to evaluate limits using various rules, including the algebra of limits, simplification, and special limits.
• Chapter 2:  Derivatives.  Students will learn the concept of the derivative and see proofs of the basic rules of differentiation: linearity, product rule, quotient rule, chain rule, and derivatives of basic functions.  They will know how to evaluate derivatives using these rules.  They will be able to do implicit differentiation, and solve related rates problems.
• Chapter 3:  Inverse Functions.  Students will learn how to find the derivative of inverse functions, particularly of the logarithmic function (inverse of the exponential function) and the inverse trig functions.  Students will be able to evaluate limits using l'Hopital's rule.
• Chapter 4:  Applications of Differentiation.  Students will learn how to solve maxima and minima problems, how to use differentiation to sketch curves, and the mean value theorem.  Students will learn how to evaluate anti-derivatives.
• Chapter 5:  Integrals.  Students will learn the concept of the integral.  They will learn the fundamental theorem of integration, which asserts that integration and anti-differentiation are (essentially) the same thing.  Students will evaluate integrals by taking anti-derivatives.  They will learn the substitution rule and learn how to use it to evaluate some integrals.

• Homework: 10%.
• Exam 1, one hour, Monday, 7/18: 15%.
• Exam 2, two hours, Tuesday, 7/26: 25%.
• Exam 3, one hour, Wednesday, 8/3: 15%.
• Final, two hours, Friday, 8/12: 35%.

There is no preset correlation between numerical grades and your final letter grade. A letter grade (without + or -) will be posted on WebCampus after the return of exams 2 and 3 and will cover all exams up to then.

Office Hours: If you need to see me, please look for me during the office hours posted below, or please make an appointment. If there is no one in my office during the last half of the office hour, I will feel free to leave, so please arrive early.

• Monday through Thursday, 10:00am -- 11:00am.
• ... or by appointment.

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