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
• Midterm questions and solutions
• Homework 5, due Nov 17 | Solutions
• Homework 6, due Dec 1 | Solutions
• Homework 7, not to be handed in (except optional hw question)
• Review sheet for the final
• Final exam 1 solutions
• Practice sheet for midterm 2
• Midterm 2 solutions
• Romberg integration

Handouts:

• Old notes from last time this class was offered.
• Piazza (bulletin board for the course)

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.