MATH 1500X/Y
Instructor: Theodore Kolokolnikov
Course webpage:
http://www.mathstat.dal.ca/~tkolokol/classes/1500
Office: Chase building, 304
Email: tkolokol at mathstat.dal.ca
Office hours: MWF 10:30-11:30.
Handouts:
-
Homework 1 | Solutions
-
Homework 2 | Solutions
-
Homework 3 | Solutions
-
Homework 4 | Solutions
-
Midterm 1 practice questions | Solutions
-
Some calculus problems
-
Homework 5
-
Homework 6
| Solutions
-
Homework 7
-
Homework 8
| Solutions
-
Practice questions for midterm 2
- Homework 9: For your practice only, do not hand in.
Section 5.3: 13,14,17.
Section 5.5: 1-22 (selection), 36, 39-44.
Section 5.6: 1-44 (selection)
-
Practice sheet for the final exam
-
Final exam 1
| Solutions
-
Homework 10
| Solutions
-
Homework 11
| Solutions
-
Homework 12
| Solutions
-
Homework 13
| Solutions
-
Homework 14
| Solutions
-
An example of Romberg integration (Richardson
extrapolation)
-
Sample questions for midterm 3
- Homework 15, due Monday 8 March: Section 9.1 (8,10,22,25,28,35)
Section 9.2 (6,8,9,10,11,14,21)
-
Homework 16
| Solutions
-
Homework 17
| Solutions
-
Bonus question: hand in anytime just before the final exam.
| Solutions
-
Review questions for midterm 4
| Solutions
-
The motion of a hanging chain
| Maple worksheet with animation
Course outline. A tenative list of topics is given below. It is
subject to change.
- Completeness of real numbers, limits, delta-epsilon arguments
- Derivatives, graph sketching, optimization
- Logistic map, discrete dynamical systems
- Integration, fundamental theorem of calclulus
- Applications of integrals
- Numerical methods: root finding, differentiation, integration, error
estimates, Richardson extrapolation
- Parametric curves, polar coordinates
- Complex numbers: Fundamental theorem of Algebra, Euler's formula
- Sequences and series
- Fourier series, Gibbs phenomenon
- Differential equations: exact solutions, stability analysis,
applications.
Relation to other Calculus courses: Math 1500X/Y is a
two-semester Calculus course which is an enriched version of Math
1000/1010. This stream is recommended for students who did well in high
school Math 12 and would like a more challenging experience. You have
the option of transferring to Math 1000 in the first three weeks of the
class without any penalty.
Textbook: Adams,
Calculus, 7-th edition is available at the bookstore.
A copy has been placed on reserve in the library.
Evaluation
There will be two final exams, four midterms, and graded homeworks (about
2 every 3 weeks).
The final exam grade (F) is taken to be the best of
F = 0.5 F1 + 0.5 F2
F = 0.25 F1 + 0.75 F2
where F1 and F2 are the final exam grades for first and second half,
respectively.
The midterm grade M is taken to be the average of the four midterms;
similar for the homework grade H.
The overall grade will be taken to be the best of:
0.25 H + 0.25 M + 0.5 F
0.125 H + 0.125 M + 0.75 F