**MATH 1500X/Y**

**Instructor:** Theodore Kolokolnikov

**Course webpage:** http://www.mathstat.dal.ca/~tkolokol/classes/1500

**Office:** Chase building, 304

**Email:** tkolokol@gmail.com

**Office hours**: Tues Thurs at
2:30 or by drop-in, or email for appointment, at Chase 304

**Homework sets and handouts: **This list is
updated throughout the class.

- Homework 1, due Sept 15 | Solutions
- Homework 2, due Sept 29 | Solutions
- Homework 3, due Oct 13 | Solutions
- Homework 4, due Oct 27 | Solutions
- Midterm,
in-class, Nov 3
^{rd}. | Review sheet - Homework 5, due Nov 17 | Solutions
- Homework 6, due Dec 1 | Solutions
- Term
2 to be added late.

**Handouts:**

**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 *is available at the bookstore or from
Amazon. Most recent editions will work, so an older version is fine; numbering
may change slightly from one edition to another. A copy has been placed on
reserve in the library.

**Homework**: there will be about one homework every
two weeks. The first term due dates are listed above. The lowest homework
during each term will be dropped. There
will be no makeups of homeworks.

**Midterms/finals**: There will be two
midterms/finales – one in the fall and another in spring.

**Evaluation: **Your overall
grade will be a maximum of:

50% (term 1 grade) + 50% (term 2 grade)

40% (term 1 grade) + 60% (term 2 grade)

where term grade is a maximum of

25% homework, 25% midterm, 50% final

20% homework, 20% midterm, 60% final

**Additional
information:**

·
Students
can get help with this course in the **Student Resource Center** which is
located in Room 119 on the first foor of the Chase
Building.

·
We will
follow the grade conversion scale as specified by the Faculty of Science:
[0-50) F, [50-55) D, [55-58) C-, [58-62) C, [62-65) C+, [65,70) B-, [70-75) B,
[75-80) B+, [80-85) A-, [85-90) A, [90-100] A+.

·
**Intellectual
Honesty and Plagiarism: **If
you cheat, you will get into lots of trouble; it is not worth it. For the
details, please read the section on academic honesty in the student calendar.

·
Students
with disabilities are encouraged to register as quickly as possible with
Student Accessibility Services if they wish to receive academic accommodations.
To do so please phone 494-2836, e-mail access@dal.ca, go to Mark A. Hill
Accessibility Center or visit their website at www.studentaccessibility.dal.ca.
Students are also reminded that all forms are available on their website.

- Please
also review official Faculty of Science policies
and additional resources.