Lectures
Monday, Wednesday and Friday 11:15AM-12:05PM MM 312.Tuesday 8:00AM-9:15AM MM 203 (Quizzes, Exercises, Tests).
Literature
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 (http://www.webassign.net/) . 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 9666There 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
| Percentage | Grade |
|---|---|
| >=90% | A |
| >=80% | B |
| >=70% | C |
| >=60% | D |
| <60% | F |
Syllabus
This is an approximate schedule of the course containing the syllabus:| Date | Topic |
|---|---|
| Wed 8/25 | Introduction. 1.1 Functions and their representations |
| Fri 8/27 | 1.2 Especial Functions |
| Mon 8/30 | 1.3 The limit of a function |
| Tue 8/31 | |
| Wed 9/01 | 1.4 Calculating limits |
| Fri 9/03 | 1.4 Calculating limits |
| Tue 9/07 | |
| Wed 9/08 | 1.5 Continuity |
| Fri 9/10 | 1.6 Limits involving infinity |
| Mon 9/13 | 2.1 Derivatives and rates of change |
| Tue 9/14 | |
| Wed 9/15 | 2.2 The derivative as a function |
| Fri 9/17 | 2.2 The derivative as a function |
| Mon 9/20 | 2.3 Basic differentiation formulas |
| Tue 9/21 | |
| Wed 9/22 | 2.3 Basic differentiation formulas |
| Fri 9/24 | 2.4 The product and quotients rules |
| Mon 9/27 | 2.5 The chain rule |
| Tue 9/28 | |
| Wed 9/29 | 2.6 Implicit differentiation |
| Fri 10/01 | 2.7 Related rates |
| Mon 10/04 | 2.8 Linear approximations and differentials |
| Tue 10/05 | |
| Wed 10/06 | 3.1 Maximum and minimum values |
| Fri 10/08 | 3.1 Maximum and minimum values |
| Mon 10/11 | 3.2 The mean value theorem |
| Tue 10/12 | |
| Wed 10/13 | 3.3 Derivatives and the shapes of graphs |
| Mon 10/18 | 3.3 Derivatives and the shapes of graphs |
| Tue 10/19 | |
| Wed 10/20 | 3.4 Curve sketching |
| Fri 10/22 | 3.4 Curve sketching |
| Mon 10/25 | 3.5 Optimization problems |
| Tue 10/26 | |
| Wed 10/27 | 3.5 Optimization problems |
| Fri 10/29 | (optional) 3.6 Newton's method |
| Mon 11/01 | 3.7 Antiderivatives |
| Tue 11/02 | |
| Wed 11/03 | 3.7 Antiderivatives |
| Fri 11/05 | 4.1 Areas and distances |
| Mon 11/08 | 4.2 The definite integral |
| Tue 11/09 | |
| Wed 11/10 | 4.3 Evaluating definite integrals |
| Fri 11/12 | 4.4 The fundamental theorem of calculus |
| Mon 11/15 | 4.4 The fundamental theorem of calculus |
| Tue 11/16 | |
| Wed 11/17 | 4.5 The substitution rule |
| Fri 11/19 | 4.5 The substitution rule |
| Mon 11/22 | 7.1 Areas between curves |
| Tue 11/23 | |
| Wed 11/24 | 7.2 Volumes |
| Mon 11/29 | 7.2 Volumes |
| Tue 11/30 | |
| Wed 12/01 | 7.3 Volumes by cylindrical shells |
| Fri 12/03 | (optional) 7.4 Arc length |