MTH 161 11 Calculus I

Instructor: Rafael S. González D'León
Office: Ungar building, Room 317.
Office Hours: Tuesday 10:30AM to 11:30AM or by appointment.


Monday and Wednesday 6:25PM-7:40PM MM 205.
Thursdays 6:25PM-7:40PM MM 202


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 4 tests. These will be given on Thursdays and will be announced at least one week in advance. The test with lower score will be dropped and the other three remaining will be worth 50% towards the final grade. There will be no make-up tests.

Final (30%)

There will be a comprehensive final to be worth 30%.

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 6109 7970
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 Wednesdays.
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 8/24Introduction. 1.1 Functions and their representations
Thu 8/251.2 Especial Functions
Mon 8/291.3 The limit of a function
Wed 8/311.4 Calculating limits
Thu 9/011.4 Calculating limits
Wed 9/071.5 Continuity
Thu 9/081.6 Limits involving infinity
Mon 9/122.1 Derivatives and rates of change
Wed 9/142.2 The derivative as a function
Thu 9/152.2 The derivative as a function
Mon 9/192.3 Basic differentiation formulas
Wed 9/212.4 The product and quotients rules
Thu 9/22TEST 1
Mon 9/262.5 The chain rule
Wed 9/282.6 Implicit differentiation
Thu 9/292.7 Related rates
Mon 10/032.8 Linear approximations and differentials
Wed 10/053.1 Maximum and minimum values
Thu 10/063.1 Maximum and minimum values
Mon 10/103.2 The mean value theorem
Wed 10/123.3 Derivatives and the shapes of graphs
Thu 10/133.3 Derivatives and the shapes of graphs
Mon 10/173.4 Curve sketching
Wed 10/193.4 Curve sketching
Thu 10/20TEST 2
Mon 10/243.5 Optimization problems
Wed 10/263.5 Optimization problems
Thu 10/273.7 Antiderivatives
Mon 10/313.7 Antiderivatives
Wed 11/024.1 Areas and distances
Thu 11/034.2 The definite integral
Mon 11/074.3 Evaluating definite integrals
Wed 11/094.4 The fundamental theorem of calculus
Thu 11/10TEST 3
Mon 11/144.4 The fundamental theorem of calculus
Wed 11/164.5 The substitution rule
Thu 11/174.5 The substitution rule
Mon 11/217.1 Areas between curves
Wed 11/237.2 Volumes
Mon 11/287.2 Volumes
Wed 11/307.3 Volumes by cylindrical shells
Thu 12/01TEST 4

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. 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.