Simon Fraser University
Engaging the World

Course Outlines

Spring 2025 - MATH 152 D300

Calculus II (3)

Class Number: 3258

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 6 – Apr 9, 2025: Mon, Wed, Fri, 8:30–9:20 a.m.
    Burnaby

  • Prerequisites:

    MATH 150 or 151 or 155, 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 158 or 251 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

  • Online Assignments & Quizzes 20%
  • 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:

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, 9th 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

RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.