Simon Fraser University
Engaging the World

Course Outlines

Summer 2022 - MATH 152 D100

Calculus II (3)

Class Number: 3764

Delivery Method: In Person

Overview

  • Course Times + Location:

    May 10 – Aug 8, 2022: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Exam Times + Location:

    Aug 14, 2022
    Sun, 3:30–6:30 p.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 
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  
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

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

Grading

  • Online Assignments 10%
  • Quizzes 10%
  • Midterm 1 15%
  • Midterm 2 15%
  • 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.

REQUIREMENTS:

Required: 

  • iClicker Student account and a mobile device for in-class participation.
  • Access to strong and reliable internet.
  • Ability to scan documents (phone app acceptable)
  • Access to webcam and microphone (embedded in computer 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!


ISBN: 9781305597624

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

SFU’s Academic Integrity web site 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

TEACHING AT SFU IN SUMMER 2022

Teaching at SFU in summer 2022 will involve primarily in-person instruction.  Some courses may be offered through alternative methods (remote, online, blended), and if so, this will be clearly identified in the schedule of classes. 

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote, online, or blended courses study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the summer 2022 term.