Course Description

• Instructor: Dr. Fei Hu
• Email: fhu (at) math (dot) ubc (dot) ca
• Time: MThF 1-3pm, W 1-2pm
• Location: Buchanan A201
• Office hours: Wed 3-5pm at Room 4134, ESB
• Midterm: July 20, 2018
• Final exam: 8:30am-11:00am, August 15, 2018, at BUCH A101

Lecture Notes

You could find all my lecture notes HERE.

Midterm

Midterm with solutions is here.

Marking Scheme

• Final exam 50%
• Midterm 30%
• WeBWorK (online) 15%
• Clicker session 5%

Textbook

Calculus: Early Transcendentals, Volume 2. Fourth custom edition for UBC, by Briggs, Cochran and Gillett.

The textbook is available at the UBC Bookstore.

ISBN 10 digit: 1269921924. ISBN 13 digit: 9781269921923.

Course outline

We will mostly focus on the first 4 chapters of the textbook, that is, Chapter 5 (Integration), Chapter 7 (Integration Techniques), Chapter 8 (Sequences and Infinite Series) and Chapter 9 (Power Series). Some applications (e.g. some probability theory) will be provided.

Here is a rough (tentative) course schedule. For more practical questions of each section, see our canvas page.

• Week 1: Introduction of Integrals

– What is the definite integral?

– Basic properties of the definite integral

– Fundamental Theorem of Calculus

• Week 2: Integration Techniques

– Integration by substitution

– Integration by parts

– Trigonometric stuffs

– Partial fractions

– Improper integrals

• Week 3-4: Applications

– Areas and volumes

– Separable differential equations

– Probability

– Volume of solids of revolution

• Week 4-5: Sequences and Infinite Series

– Convergence of a sequence

– Evaluate the limit of a convergent sequence

– Geometric sequence and series

– Elementary comparison about the growth rates of sequences

– Convergence of a series by various convergence tests

• Week 6: Power Series

– Radius/interval of convergence of power series

– Operations on power series

– A special power series - Taylor/Maclaurin series

– Application of Taylor/Maclaurin series