MTH 162 55 Calculus II

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 203


Essential Calculus. James Stewart.

Course Contents

Transcendental functions, methods of integration, L'Hospital's Rule and improper integrals, infinite series, polar coordinates, and an introduction to differential equations.
Chapters 5,6,8 and part of chapters 7 and 9 from Stewart's book.

Examination and Grading

Tests (50%)

There will be 3 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 two 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 9163 0470
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 1/18Introduction. 5.1 Inverse Functions
Thu 1/195.2 The Natural Logarithmic Function
Mon 1/235.3 The Natural Exponential Function
Wed 1/255.4 General Logarithmic and Exponential Functions
Thu 1/265.5 Exponential Growth and Decay
Mon 1/305.6 Inverse Trigonometric Functions
Wed 2/15.7 Hyperbolic Functions
Thu 2/25.8 Indeterminate Forms and l'Hospital's Rule
Mon 2/65.8 Indeterminate Forms and l'Hospital's Rule
Wed 2/86.1 Integration by Parts
Thu 2/96.2 Trigonometric Integrals and Substitutions
Mon 2/136.2 Trigonometric Integrals and Substitutions
Wed 2/15Review for Test1
Thu 2/16Test 1
Mon 2/206.3 Partial Fractions
Wed 2/226.3 Partial Fractions
Thu 2/236.5 Approximate Integration
Mon 2/276.6 Improper Integrals
Wed 2/297.4 Arc Length
Thu 3/17.4 Arc Length
Mon 3/57.6 Differential Equations
Wed 3/78.1 Sequences
Thu 3/88.2 Series
Mon 3/198.3 The Integral and Comparison Tests
Wed 3/21Review for Test 2
Thu 3/22Test 2
Mon 3/268.4 Other Convergence Tests
Wed 3/288.5 Power Series
Thu 3/298.6 Representing Functions as Power Series
Mon 4/28.7 Taylor and Maclaurin Series
Wed 4/48.7 Taylor and Maclaurin Series
Thu 4/58.8 Applications of Taylor Polynomials
Mon 4/99.1 Parametric Curves
Wed 4/119.2 Calculus with Parametric Curves
Thu 4/129.3 Polar Coordinates
Mon 4/169.4 Areas and Lengths in Polar Coordinates
Wed 4/18Review for Test 3
Thu 4/19Test 3
Mon 4/239.4 Areas and Lengths in Polar Coordinates
Wed 4/259.5 Conic Sections in Polar Coordinates
Thu 4/26Review for the Final

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 11 AM to 6 PM and Friday 11 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.