## MATH 101 - Integral Calculus with Applications to Physical Sciences and Engineering

### Session 2016W Term 2, January--April 2017

Common Course Webpage -- if you have a question, consult this website first!

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Final Exam: Friday, April 21 at 12:00 in OSBO A

Final Exam Info (from class - you should also check the common course website)

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Instructor: Lee Troupe (email: ltroupe at math dot ubc dot ca) (I go by "Lee" or "Dr. Troupe")

Lecture: MWF 2:00 - 2:50pm, Buchanan (BUCH) A101

Office Hours: Tuesdays 12:30 - 2:00pm, Wednesdays 3:00 - 4:00pm in LSK 300

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#### Class Notes

1/4: A first example of the definite integral

1/6: The definition of the definite integral

1/9: Properties of the definite integral

1/11: The fundamental theorem of calculus

1/13: Antiderivatives and the FTC

1/16: Net change / Using substitution to evaluate integrals

1/18: Quiz procedures / Area between curves

1/20: Volumes (quiz day, short lecture)

1/23: Volumes / Integration by Parts

1/25: Integration by Parts

1/27: Trigonometric Integrals

1/30: Trig Integrals / Trigonometric Substitution

2/1: Trigonometric Substitution / Partial Fractions
• NOTE: There is a typo on the first page of these notes: For the triangle corresponding to substitution 1, the leg adjacent to angle u should be sqrt{a^2 - x^2}, not sqrt{x^2 - a^2}
2/3: Partial Fractions (quiz day, short lecture)

2/6: Partial Fractions (incl. 2/1 and 2/3 material)

2/8: Numerical Integration

Numerical Integration: Supplemental Examples / Overestimates vs. Underestimates

2/10: Improper Integrals

2/13: Family Day, no class

2/15: Improper Integrals / Work 2/15 - 2/17: Work: In-class Examples, Supplemental Problems (solutions)

2/20 - 2/24: no class

2/27: Averages, Center of Mass

3/1: Separable Differential Equations 3/3: Sequences

3/6: Introduction to Series / Geometric Series

3/8: Geometric Series / Telescoping Series / The Divergence Test / The Integral Test

3/10: More Integral Test

3/13: Last Integral Test Example / Comparison Test / Limit Comparison Test

3/15: Comparison Tests / Alternating Series 3/17: Alternating Series (notes courtesy of Roberto Pirisi)

3/20: Absolute & Conditional Convergence / The Ratio Test

3/22: Power Series

3/24: Power Series (quiz day, short lecture)

3/27: Power Series, Power Series Representations of Functions

3/29: Power Series Representations of Functions, Taylor Series

3/31: Taylor Series ---

#### Important Dates

• January 17 -- Last day to drop the course without a W
• February 10 -- Last day to drop the course with a W
• February 13 -- No class (Family Day, university closed)
• February 20-24 -- No class (midterm break)
• April 5 -- Last day of class!
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