Fall 2014 - MATH 152 D100
Calculus II (3)
Delivery Method: In Person
Overview
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Course Times + Location:
Sep 2 – Dec 1, 2014: Mon, Wed, Fri, 8:30–9:20 a.m.
Burnaby -
Exam Times + Location:
Dec 6, 2014
Sat, 8:30–11:30 a.m.
BurnabyDec 6, 2014
Sat, 8:30–11:30 a.m.
Burnaby
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Instructor:
Jamie Mulholland
jtmulhol@sfu.ca
778.782.7655
Office: SCK 10541
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Prerequisites:
MATH 150 or 151; or MATH 154 or 157 with a grade of at least B.
Description
CALENDAR DESCRIPTION:
Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations. Sequences and series, series tests, power series, convergence and applications of power series. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.
COURSE DETAILS:
Chapter 5 - Integrals
1. Areas and Distances
2. The Definite Integral
3. The Fundamental Theorem of Calculus
4. Indefinite Integrals
5. Substitution Rule
Chapter 6 -Applications of Integration
1. Areas between Curves
2. Volumes
3. Volumes by Cylindrical Shells
5. Average Value of a Function (optional)
Chapter 7 -Techniques of Integration
1. Integration by Parts
2. Trigonometric Integrals
3. Trigonometric Substitution
4. Integration of Rational Functions by Partial Fractions
5. Strategy for Integration
6. Integration Using Tables and Computer Algebra Systems
7. Approximate Integration
8. Improper Integrals
Chapter 8 - Further Applications of Integration
1. Arc Length
2. Area of a Surface of Revolution
Chapter 9 - Differential Equations
1. Modeling with Differential Equations
2. Direction Fields
3. Separable Equations
4. Models for Population Growth
Chapter 10 - Parametric Equations and Polar Coordinates
2. Calculus with Parametric Curves
4. Areas and Lengths in Polar Coordinates
Chapter 11 - Infinite Sequences and Series
1. Sequences
2. Series
3. The Integral Test and Estimates of Sums
4. The Comparison Tests
5. Alternating Series
6. Absolute Convergence and the Ratio and Root Tests
7. Strategy for Testing Series
8. Power Series
9. Representations of Functions as Power Series
10. Taylor and McLaurin Series
11. Applications of Taylor Polynomials
Grading
- I-Clicker and After Video Questions 5%
- Online Assignments 5%
- Quizzes 8%
- Midterm 1 16%
- Midterm 2 16%
- Final Exam 50%
NOTES:
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and t he posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
MATERIALS + SUPPLIES:
We will be using the I-Clicker, Version 1 and Version 2 are both fine, but if you have the option, purchase Version 1 as we will not be using all the features of Version 2.
REQUIRED READING:
Calculus: Early Transcendentals
James Stewart
7/E, 2012; NELCA
Textbook is available through the SFU Bookstore <http://sfu.collegestoreonline.com/> or through Nelson directly <www.nelsonbrain.com/shop/micro/SFU-Math>
ISBN: 978-0-538-49790-9
Registrar Notes:
SFU’s Academic Integrity web site http://students.sfu.ca/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS