Class Web Page for Math 120
Honours Differential Calculus
Fall 2008
Instructor Information
- Lecturer: Patrick Brosnan
- Office: Math 229D
- Office Hours: By appointment
- Email: (my last name)@math.ubc.ca
- Phone: (604) 827-3032
Course Information
Midterms
There will be two midterms held in class. The first will be held on
Friday, October 3. The solutions are now on Vista.
The second midterm will be held on Wednesday, November
12 . It will cover every section in the book for which
homework has been asssigned in problem sets 1-5. However, there
will be more weight placed on topics covered since midterm 1.
Problem Sets
There will be several problem sets that you will be required to turn in
for a grade.
Grade Percentages
Final grades will be computed as follows:
| Final: | 50% |
|---|
| Midterms: | 40% |
|---|
| Homework: | 10% |
|---|
Course Outline
The course will cover differential calculus using the text by Robert
A. Adams. A partial approximate outline of the course (partially
taken from the outline of S.Gustafson) is as follows.
- Week 1: Preliminaries.
- Week 2: Limits and Continuity (1.2, 1.3, 1.4)
- Week 3 : Formal definition of limits and
beginning derivatives (1.5, 2.1)
- Week 4 : Differentiation (2.2, 2.3, 2.4)
- Week 5 : More differentiation and the mean value theorem
(2.5, 2.6, 2.7)
- Week 6 : Higher derivatives and
anti-derivatives (2.8, 2.10, 2.11)
- Week 7 : Inverse functions, exponentials and
logs (3.1-3.4)
- Week 8: Invere trigonemetirc functions, implicit
differentiation and related rates (3.5, 2.9, 4.1)
- Week 9 : Extreme and intermediate values, concavity
(4.2, 4.3)
- Week 10 : Graph sketching, max/min problems
(4.4, 4.5, 4.7)
- Week 11 : Taylor polynomials, L'Hopital (4.8,
4.9)
- Weeks 12-13 : Review
Notes
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