MTH 161 DN Calculus I

Instructor: Rafael S. González D'León
Office: Ungar building, Room 317.
Office Hours: Tuesday and Thursday 9:30AM to 10:30AM or by appointment.


Monday, Wednesday and Friday 11:15AM-12:05PM MM 312.
Tuesday 8:00AM-9:15AM MM 203 (Quizzes, Exercises, Tests).


Essential Calculus. James Stewart.

Course Contents

Limits and continuity, derivatives and applications, the definite integral and applications.
Chapters 1,2,3,4 and 7 from Stewart's book.

Examination and Grading

Tests (50%)

There will be 3 tests. These will be given on Tuesdays and will be announced at least one week in advance. The test with lower score will be dropped and each of the other two remaining will be worth 25% towards the final grade. There will be no make-up tests.

Final (30%)

There will be a comprehensive final to be worth 30% and is scheduled for December 8, 11:00AM-1:30PM.

Homework and Quizzes (20%)

There will be homework to be handed in every week. The homework will be assigned and completed in WebAssign ( . The homework posted during each week will be due the Friday of the following week. An accesscode for WebAssign is bundled with the new textbook purchased through the UM Bookstore. To get enrolled in the course in WebAssign you should use the class key: miami 3393 9666
There may also be some additional homework problems without any due date but that you should complete in order to train the concepts given in class. Some of these problems could appear in the quizzes, tests and the final. These problems will be assigned after some of the classes and also posted in the web page of the course.
There will be (unannounced) quizzes on some Tuesdays.
Homework and quizzes are equally weighted for the remaining 20% of the grade.

Grading Scale



This is an approximate schedule of the course containing the syllabus:
Wed 8/25Introduction. 1.1 Functions and their representations
Fri 8/271.2 Especial Functions
Mon 8/301.3 The limit of a function
Tue 8/31
Wed 9/011.4 Calculating limits
Fri 9/031.4 Calculating limits
Tue 9/07
Wed 9/081.5 Continuity
Fri 9/101.6 Limits involving infinity
Mon 9/132.1 Derivatives and rates of change
Tue 9/14
Wed 9/152.2 The derivative as a function
Fri 9/172.2 The derivative as a function
Mon 9/202.3 Basic differentiation formulas
Tue 9/21
Wed 9/222.3 Basic differentiation formulas
Fri 9/242.4 The product and quotients rules
Mon 9/272.5 The chain rule
Tue 9/28
Wed 9/292.6 Implicit differentiation
Fri 10/012.7 Related rates
Mon 10/042.8 Linear approximations and differentials
Tue 10/05
Wed 10/063.1 Maximum and minimum values
Fri 10/083.1 Maximum and minimum values
Mon 10/113.2 The mean value theorem
Tue 10/12
Wed 10/133.3 Derivatives and the shapes of graphs
Mon 10/183.3 Derivatives and the shapes of graphs
Tue 10/19
Wed 10/203.4 Curve sketching
Fri 10/223.4 Curve sketching
Mon 10/253.5 Optimization problems
Tue 10/26
Wed 10/273.5 Optimization problems
Fri 10/29(optional) 3.6 Newton's method
Mon 11/013.7 Antiderivatives
Tue 11/02
Wed 11/033.7 Antiderivatives
Fri 11/054.1 Areas and distances
Mon 11/084.2 The definite integral
Tue 11/09
Wed 11/104.3 Evaluating definite integrals
Fri 11/124.4 The fundamental theorem of calculus
Mon 11/154.4 The fundamental theorem of calculus
Tue 11/16
Wed 11/174.5 The substitution rule
Fri 11/194.5 The substitution rule
Mon 11/227.1 Areas between curves
Tue 11/23
Wed 11/247.2 Volumes
Mon 11/297.2 Volumes
Tue 11/30
Wed 12/017.3 Volumes by cylindrical shells
Fri 12/03(optional) 7.4 Arc length

Math Lab

The university and the department of mathematics offer tutoring without any charge at the Math Lab. The Lab is located in Ungar building, room 304 and is open Monday through Thursday 10 AM to 6 PM and Friday 10 AM to 1 PM, starting September 1. The tutoring is given in a walk-in basis without any appointment. The Lab schedules can be consulted in its web page. The Academic Resource Center (A.R.C) also offers tutoring by appointment.

Calculators Policy

Calculators are not allowed in quizzes, tests or the final exam.

Honor Code

Students should consult the Undergraduate Bulletin for details of the Honor Code. Any infraction of the Honor Code will result in a grade of "F" for the course and a referral to the Dean of Students.