Simon Fraser University
Engaging the World

Course Outlines

Fall 2022 - MATH 152 D100

Calculus II (3)

Class Number: 4109

Delivery Method: In Person

Overview

  • Course Times + Location:

    Sep 7 – Dec 6, 2022: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Dec 12, 2022
    Mon, 8:30–11:30 a.m.
    Burnaby

    Dec 12, 2022
    Mon, 8:30–11:30 a.m.
    Burnaby

  • Prerequisites:

    MATH 150 or 151, with a minimum grade of C-; 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 and growth models. 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 (optional)
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 10 - Parametric Equations and Polar Coordinates  
2. Calculus with Parametric Curves     

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

Chapter 9 - Differential Equations  
1. Modeling with Differential Equations
2. Direction Fields
3. Separable Equations  
4. Models for Population Growth

Grading

  • Online Assignments 7%
  • Written Assignments 8%
  • Midterm 1 15%
  • Midterm 2 15%
  • Midterm 3 15%
  • Final Exam 40%

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.

REQUIREMENTS:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

Materials

REQUIRED READING:

Calculus: Early Transcendentals, 8th Edition Textbook, by James Stewart, packaged with Multi-term Enhanced WebAssign [Text + EWA/eBook]

*Please Note: If you have purchased the above package within the last 5 years, do not purchase again!


REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity website http://www.sfu.ca/students/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